diff --git "a/data/dm_maths/full_data_2/11179_11255.jsonl" "b/data/dm_maths/full_data_2/11179_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11179_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(f) = 4*f**3 + 2*f + 1. Let k be a(-1). Let z(q) = -q - 5. Let c be z(k). Solve v + 1 + 1 = c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3156 by -3.\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcbeubd. Give prob of picking 1 l and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*u - 7, -8*m + 9*m + u = 15. Solve -4*v - 3*g - m = 0, -v - 19 = 4*v + g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1085 at most -1088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*14.\nAnswer: -0.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10259, 41122, 92565, 164588, 257191, 370374?\nAnswer: 504137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70284*b*f*g*j**3 + b*f*g + 3*b*f*j + 25*b*g*j**2 + 2*b*g*j + 2*b + 27*f*g + g*j**2 + 2*j**3 wrt j?\nAnswer: 421704*b*f*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 40, -30.79, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.102113*0.2\nAnswer: -0.0204226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2 - 15*a + 24. What is the tens digit of y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214.0168 + 0.0168. Let z = y - -215.23. What is z rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + 4)*((-6)\/27 + (-8)\/72). Let i = 7\/45 + 131\/315. What is the third smallest value in -5, h, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/50)\/(33\/115 + (-152)\/1748)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/214 or 0?\nAnswer: 5\/214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 - (-2)\/((-6)\/9) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4802 and 311150?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36968526.\nAnswer: 2, 3, 7, 181, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 0, -3*z + 4*r - 26 = -8*z. Suppose 4*y = z*y + 6400. What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-4)\/c*((c\/(c**(-8\/5)*c*c))\/c)\/c)**(-19))**(-15\/2))**33 assuming c is positive.\nAnswer: c**(-20691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.85 - -0.15. Let t = n - -0.700009. What is t rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3 + 17542479*z**2 - 17542470*z - 35084952 = 0.\nAnswer: -1, 2, 5847492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*w + 3 - 4, -w + 4 = -4*g. Solve w = -2*k + 4*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1122 + 1116. Put -10, q, 4, -5, 1 in decreasing order.\nAnswer: 4, 1, -5, q, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -160 + 141. Let y = f + -4. Is -1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {t: 3, c: 11, l: 1, w: 5}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30342*w + 0*w**3 + 30337*w - w**3.\nAnswer: -w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7011163 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1) + 1*10. Let k = i + -4. Suppose -2*f + 36 = 4*g, k*f = -0*g - 3*g + 34. What is the lowest common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 183, 295, 427, 585, 775, 1003?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 99*n\/4 - 111.\nAnswer: 3*(n - 4)*(n + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.68 and 0.12.\nAnswer: 3.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t + 15*t + 2 - 2. Let p(d) be the second derivative of d**4\/12 + 25*d. Determine p(x(r)).\nAnswer: 225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c + 0*c + (4 + 3*c**2 - 4)*(3*c**2 + 3*c**2 - 3*c**2) + 3*c**4 - 6*c**4 + 2*c**4 + (4*c + 2*c - 5*c)*(c**3 + 0*c**3 - 2*c**3).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 2*m**2 + m + 3. Let t be g(3). Let i = -76 - -68. Let k be (-20)\/(-5) + (i - -3). What is the nearest to k in t, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*d**2*u**3 - 957*d**2 + 30*d*u**3 + 35*d*u**2 - 18 wrt d.\nAnswer: 56*u**3 - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 + 6*w**2 + 1. Let r(k) = -3*k - 2. Let a(n) = -n**2 - 9*n - 6. Let d(o) = a(o) - 3*r(o). What is 6*d(u) + m(u)?\nAnswer: 2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -6 + 9 - 9 - -4 - 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 18. Solve 0*n = -2*n - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/87, -1\/3, -649, 4?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/1087 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 563287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220212120022012 - 221?\nAnswer: 220212120021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(640)*-1)\/(sqrt(2) - sqrt(18)*3) + 1 + 0 + sqrt(5) + -2 + -1 + sqrt(5) + 3 + 0)**2.\nAnswer: 6*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.272 * -1\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 218015 = h, 0*h + 3*h + 3*g - 654009 = 0. What is h rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**4\/4 - 183*i**3\/4 + 503*i**2\/2 + 1368*i + 504 = 0?\nAnswer: -3, -2\/5, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3190, 6387, 9588, 12793, 16002, 19215?\nAnswer: 22432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/((c\/(c**(4\/7)\/c))\/c)*c*c**(-10)*(c**(-1\/4)\/c*c)**(18\/5) assuming c is positive.\nAnswer: c**(-583\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*q + 86, 3*v = -2*v - 4*q - 107. Is -18 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 14. Let t(n) = -n + 6. Let y be t(0). What are the prime factors of (8\/y)\/(u\/(-75))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 57, 80, 103?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990 and 14310?\nAnswer: 157410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 1098*j - 31272. Give r(28).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - t + 9 = -2*t, 0 = 2*t - 10. Suppose -8*u - 1 = 2*q - 5*u, -3*q - 3*u = -3. Suppose q*f = 9 + i. Solve -f*c + 27 = 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + t + 601 = 0, 0*b - 5*t - 222 = 2*b. Let j = -267 - b. Let f = j - -1024\/7. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Let g be (-1 + (b - 0))*-30. Solve 5*p + g = -3*d, -p + 5*d = -6*p - 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -746 - 297*h**2 - 653 + 974*h**2 wrt h?\nAnswer: 1354*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*f - 2)*(-f + f + 2*f**3) + 3*f**4 + 3*f**4 + 0*f**4 to b + s*f**2 + v*f**3 + j*f**4 + a*f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 4, -17, -825 in descending order.\nAnswer: 6, 4, 0, -17, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s - 3. Let a = -42 - -39. Let o = 2 - a. Suppose -2*y = -3*y - 2*f, o*y = f + 11. Give h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 67*y**3 - 7*y**2 - 5*y - 5. Let i(a) = -69*a**3 + 6*a**2 + 4*a + 4. What is -5*i(d) - 4*n(d)?\nAnswer: 77*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 87302393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40077367 a multiple of 1214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - r - 2)*(-2*r - 3 + 3) + (-4*r + 5*r + 4*r)*(443 + 10*r - 443) in the form v*r**2 + j + y*r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 - 299\/(-91)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 120*-4109\nAnswer: -493080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*r**2)*(5 + 14*r**2 - 5) + (-3*r - r + 2*r)*(0*r**2 + 2*r**3 + 0*r**2) + r**4 + 0*r**3 + 0*r**3 - 3*r**4 + 2*r**4 + 5*r**4.\nAnswer: 43*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 8*t**2 - 5*t + 17. Let d be h(-7). Suppose -11 - 16 = -d*v. Is 3 a factor of (v + -12)*(-6 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n + 1. Suppose 10 = 6*c - 8. Let q(l) = 17*l - 2. Give c*q(f) + 8*d(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.782266 grams?\nAnswer: 6782.266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 5. What is the second derivative of -29*g - g**3 + 36*g - g**o wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 72*l - 78*l + 9, 2*b + 2*l = -6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 18*q - 3*q**3 + 18*q. Determine c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(1331) + -2 - -2*(-4*(sqrt(1331) + 0) - sqrt(1331) - sqrt(1331)))*4)**2.\nAnswer: 7744*sqrt(11) + 2576880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/120 + k**5\/60 - k**4\/8 + k**3\/3 + 9*k**2. Determine s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.976 - -1.976. Let h be 6\/(-9) - (-1)\/6. Which is the nearest to h? (a) 0.2 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 167, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991235 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 347, -2, -1, -3, 0 in decreasing order.\nAnswer: 347, 1, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -15 (b) 1.52 (c) -0.1 (d) 4 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/(66\/(-88)). Let m(n) = 12*n**2 + n + 3. What is the units digit of m(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -5137 (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/3 (b) -2 (c) -0.4 (d) 393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 7. Let o(c) = -5*c + 6. Let q be -4*3*1\/(-3). Suppose 3*r = 17 + q. Let h(i) = r*o(i) + 6*x(i). Let d(b) = 3*b. Determine h(d(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5, -2, 1204137?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j - 234. What is the remainder when c(19) is divided by 84?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b4681 (base 13) to base 4.\nAnswer: 2221301023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 174\/(-203)*1*2\/4. Which is the nearest to 1? (a) g (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from xxxxxxtxxxtxxxt.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/(2*sqrt(12)))\/(2*sqrt(243)) - (4*(sqrt(17) + sqrt(68)\/sqrt(4)) - ((sqrt(85)\/sqrt(5))**2 + 4)).\nAnswer: -287*sqrt(17)\/36 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = -258. Let b(r) = -28*r**3 + 2*r**2 - 1. Calculate the remainder when u is divided by b(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 174156?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by 190?\nAnswer: -176\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/15)\/((-1)\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 - 6 = 0. Let a(f) = 2*f - 4*f + m - f**2 - f + 2*f**2. Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/30*(-8)\/(-22)*(-80)\/(-3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 26\/5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29627, -30956, -33171, -36272, -40259, -45132?\n\"Answer: -443*m**2 - 29184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4914 divided by 2441\nAnswer: 4914\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in -0.2, -2.1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-3)\/(-2)) - (14 + -13). Sort 3, 0.5, -0.1, o in descending order.\nAnswer: 3, 0.5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 325969?\nAnswer: -1303876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 452 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:25 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 20. Let y be z(-18). Is y\/(-7) + (-72220)\/(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 184*c - 54*c + 189*c - 56*c + 57*c. Let k(a) = a. Determine k(f(b)).\nAnswer: 320*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/7, 1\/5, -0.02, 4\/7.\nAnswer: -2\/7, -0.02, 0.03, 1\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**6 + z**2 - 9?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (3 - (5 + -14) - 28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w + 29. Let o(s) = -3*s**2 + 5*s + 22. Let m be o(4). Give r(m).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6430194 divided by 2143398?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*m + 627 + 9 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/18)\/(4\/(-6))*(-5 + -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*a - 12, 4*t + 10 = -4*a - 2. Let j be (-1)\/(-1) + (19 - 7). Suppose -2*f + f + j = t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/3 (b) 0.6 (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**3 - 3*k**3 + 1 + 2*k**3)*(2589*k - 32*k - 160*k) as f*k**4 + o*k + d*k**2 + i + y*k**3 and give f.\nAnswer: -9588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 7*u**7\/225 - 7*u**6\/300 - 4*u**5\/75 - u**4\/45 - 9*u**2. Factor c(z).\nAnswer: 2*z*(z - 1)*(7*z + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1414 - -1415. Which is the fourth smallest value? (a) 4 (b) 0.2 (c) 138 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.063. Let m = q - 0.107. Which is the nearest to 2? (a) m (b) -0.4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1066*h + 535*h + 59*h**2 + 531*h.\nAnswer: 59*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5\/43, 57, 0.2, -0.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - (2 - 4)) + 0 + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 10\/3 (c) -6 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/33)*d\/(d**(16\/3)*d)*d**17\/d*d\/d**(-2\/61) assuming d is positive.\nAnswer: d**(25625\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-30) + (-38)\/5. Let h be x\/40 - 4\/5. Let m be h\/7 + (-90)\/(-42). Solve -9 = -m*u - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7644*o**2 - 10331.\nAnswer: 15288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j - 1. Let w(o) = 22*o**2 + 4*o - 5. Let s be (0 - -3)\/3*-1. Let i(l) = s*w(l) + 6*f(l). Suppose 16*x - 16 = -0. Give i(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291087 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whf when three letters picked without replacement from {f: 3, h: 5, w: 1, k: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1396796, -2793595, -4190394, -5587193, -6983992?\n\"Answer: -1396799*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 - f**3 + f**3 + (0*f + f - 4*f)*(-3*f - f**2 + 3*f) - 6*f**3 + 1 - 3 + 3*f**3 to p*f**2 + t*f**3 + m*f + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -493\/36 - -112\/9. Let s = 117\/2 - 59. Sort 4, q, s, -0.1 in ascending order.\nAnswer: q, s, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:15 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232525 and 43885.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -0.42, 0.1, 52, -0.0775, 6\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j**3 - 38*j**2 - 29*j + 2. Determine q(5).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7264 divided by -18833\nAnswer: -7264\/18833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p**3*y**3 - 2*p**3*y**2 - 12489*p**2*y + 333*p*y**3 wrt y.\nAnswer: 30*p**3 + 1998*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4201\/10 or -420?\nAnswer: -4201\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, k: 5, y: 1, x: 1}. What is prob of sequence xn?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 17*q - 63. What is the hundreds digit of q + (-19)\/((-171)\/4770)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -9*x - 9*x + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.52 (b) 0.4 (c) -1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - m**3 + m**3 + (-2*m**3 + 2*m**3 - 2*m**3)*(-m - 2*m**2 + m) - 3*m**5 - m**5 + m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**3 + 6*c**3 + 8*c**3)*(-2 - 2952*c + 1363*c + 1408*c) to the form f*c**3 + d + x*c**2 + g*c**4 + w*c and give g.\nAnswer: -1991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 594536135 to the power of 1\/2, to the nearest integer?\nAnswer: 24383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (9 - 4) - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48285 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/2 - -7\/12. Find the common denominator of k and -85\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 1653, 3697, 6559?\nAnswer: 10239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.1 + -27. What is the closest to d in 4, -16\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2849*d**2 - 6*d + 2851*d**2 - 5699*d**2 + 5. Let w(f) = 2 - 2 - f + 0*f. Give -b(c) + 6*w(c).\nAnswer: -c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-518)\/111*(-189)\/(-6)*(290\/30)\/(-29)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:00 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 10)*(0 - 2 - 2)*(2*a - 2*a + a).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 365*a.\nAnswer: -5*a*(a + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426494770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*m + 1. Let u be -24 - -31 - (1 + 3). Suppose -4*d + 10 = -3*g, u*d = -3*g + 5*g + 7. Put 9, -5, g, m in decreasing order.\nAnswer: 9, m, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1640 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46\/5 of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*f**4 + 0*f - 1\/2*f**2 + 0 + 5\/4*f**3.\nAnswer: -f**2*(f - 1)*(3*f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/153 and 61\/186633.\nAnswer: 3172761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*f + 0*f + 46*f - 15*f to the form a + c*f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 2. Let c be k(4). Let h be (11 + c)\/(2 - 1). What is the nearest to 1\/4 in -0.4, -4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -35. Let m = f + 30. Let b = -1 - -8. Solve 2*q - b = m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**4 - 26532*j**3 + 212076*j**2 - 503548*j + 318000 = 0.\nAnswer: 1, 3, 4, 6625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4981 and 4395.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 3*p + 4. Let l(a) be the third derivative of -1\/6*a**3 - 1\/60*a**5 - 2*a**2 + 1\/24*a**4 + 0*a + 0. Determine 3*l(k) + q(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oocooooooooocooooc. What is prob of picking 1 c and 2 o?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v*v**0*(v**0\/v)**(-22\/3))\/(v\/v**(1\/12)*v**(4\/5))**(3\/2) assuming v is positive.\nAnswer: v**(691\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 4. Let j be t(0). Suppose 2*z = 3*n - 0*z - 244, 0 = 3*n - 5*z - 250. Suppose p - n = -j*p. Solve -p = 3*y + y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 2*j**4 - 2*j**2)*(9 - 1 - 5)*(0 - 1 + 3)*(-3 - 3 + 4) to the form q + n*j + m*j**4 + b*j**2 + a*j**3 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) -5 (c) -615\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by ((-340)\/(-51))\/(3\/90).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/5, 8, 1\/5, 24 in decreasing order.\nAnswer: 24, 8, 1\/5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679*q**3*s + 81*q**3 - 2*q**2 + 1935*q*s + 2*q - 3*s + 1 wrt q.\nAnswer: -4074*q*s + 486*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s - 35. Let y be u(-3). Let p be ((-76)\/24)\/(y\/(-24)). Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.56978 minus -954.86?\nAnswer: 970.42978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -t + 3*t. Let g be 326\/(-6) + (-3 - 42\/(-18)). Let m = t + g. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81447.78t?\nAnswer: 81447780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 20*d**4 + 8*d**3 + 112*d**2 + 32*d - 128 = 0?\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 0.09, -1\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*b - 13376, -b + 3*g + 2*g + 3363 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946214 a multiple of 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by ((-4)\/(-64)*-28)\/(2\/80*-2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-1530)\/(-108))*26*2\/(36\/(-15)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 662860.22 to the nearest one thousand.\nAnswer: 663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2895 or -2756?\nAnswer: -2895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427836 is divided by 106958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 39*f - 6. Let z be k(10). Let n be z\/(-70) + 5 - 2\/(-7). Let r = 17 + -13. Which is the biggest value? (a) r (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*z - 36, z = -0*z - 5*t + 16. Let r = -3 + z. Suppose 5 = -4*n - 15. Put r, n, 0 in descending order.\nAnswer: r, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 534.5 or 1\/2784?\nAnswer: 534.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4272*h**3 + 640*h - 448 + h**4 - 204*h**2 + 4282*h**3 + h**4 = 0. Calculate h.\nAnswer: -14, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/1557, -0.03, 0.5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 290127\nAnswer: 1160508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121903.\nAnswer: 139, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.7, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/4 + 503263*r**2\/2 + 1006529*r\/4 - 1006527\/2 = 0.\nAnswer: -2, 1, 1006527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/110 - (-327)\/(-5). Is n greater than -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920078812 less than 89858?\nAnswer: -1919988954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2. Let t(w) = -w**3 + 6*w**2 + 6*w. Let k(i) = 3*i**3 - 17*i**2 - 17*i. Let a(g) = 3*k(g) + 8*t(g). Determine -a(u) + 3*z(u).\nAnswer: 2*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 37*u - 36324 = -24*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114)*-2)\/(sqrt(24)\/sqrt(36)) + 5 - (-3*sqrt(171)*1 + 2 + sqrt(475)*-1 + sqrt(19)))**2.\nAnswer: -30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, v: 2}. What is prob of picking 2 v and 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 2. Let a = -562 + 560. Let j(n) = 1. Determine a*j(o) - q(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-22))\/(((-378)\/8)\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-433)\/(-15) - 7) - 798\/5985\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b = -3*b - 50 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2611 greater than -18283\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.237 - -0.037. Let n be (4\/(-48))\/((-1)\/2). What is the second smallest value in l, n, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*j - 40, r + j = -4*j + 14. Let x(o) = -4 + 0*o**2 + 6*o + o**2 + 3. Let m be x(r). Is m >= -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753442.\nAnswer: 2, 3, 331, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 589\/1170 + -2\/585. Let q(o) be the second derivative of 0 - o - 1\/20*o**5 + 0*o**3 + h*o**2 + 7\/12*o**4. Let c(f) = f**2. What is -5*c(s) + q(s)?\nAnswer: -s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 702, 1, 6?\nAnswer: 702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/5 - 32*s**2 - 4223*s\/5 - 4064\/5 = 0.\nAnswer: -127, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c. Let g(a) be the first derivative of -46*a**3\/3 + 9396. What is l(g(j))?\nAnswer: 322*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 132 + 12 = 0. What is the units digit of 6135\/(-10)*(-20)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f)**(-18\/5)*(f\/((f*f**(-1\/2))\/f))**(22\/7))\/(((f*f\/f**(-2\/5))\/f)\/(f\/f**(-1\/6)*f)*f**(2\/21)*f\/(f*(f*f*f**7)\/f)) assuming f is positive.\nAnswer: f**(433\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0873027851 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280 + 281. Suppose -4*r - 31 = -4*v - 3*r, -32 = -3*v - r. What is the smallest common multiple of v and 17 + (-5 - j - 1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1133197 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 19*x**2 + 6*x - 12. Let g be m(-19). Let b = 129 + g. Let c be -3*5\/25 - 48\/(-5). Calculate the greatest common divisor of b and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36737520 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.3, 1.1, -3\/4.\nAnswer: -8, -3\/4, -0.3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = -12. Let v be (-6 - -3) + b*(-21)\/9. Find the second derivative of -20*c - v*c**3 - 7*c**3 + 17*c - 14*c wrt c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42341767 divided by -4.\nAnswer: 42341767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 4*t + 2*t**2. Let k(o) = -2*o**2. Determine k(w(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73278 and 1656?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -34*g + 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 185850*j - 527746 with respect to j.\nAnswer: 185850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 - -15430604596.\nAnswer: 15430604596.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let g be h(-3). Let w = -7 - g. Let p = -2 - 2. Sort p, w, 0 in descending order.\nAnswer: 0, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224.05 + -224. Put h, -16, -2 in descending order.\nAnswer: h, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 44. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10178 = -0*r - 3*r, 10174 = 5*w + r. List the prime factors of w.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b2 + 2?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1864 - (2\/(-5) - (-4312)\/(-770))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 4 (c) 19 (d) 4\/3 (e) 11\/87 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-126)\/35)\/((-1)\/(-5)). Let c be (-86)\/q - 16\/(-72). Suppose 20 = -t + 6*t. Solve -2 = 2*y, -y - t*y - 5 = -c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75100?\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.043 * -449.\nAnswer: 19.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4 and -42\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -4*y**2 - 25 + y**4 + 4\/3*y**3 + 0*y. Factor p(o).\nAnswer: 4*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -2. Suppose -5 = s + x. Let h = s - -11. Put h, -3, -0.3 in decreasing order.\nAnswer: h, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021102120 (base 3) to base 10.\nAnswer: -64464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 20069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737, 726, 713, 698, 681, 662?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = 2*f - 4*p, 5*f = 13*p - 11*p - 2576. Let g = f - -516. Let i(a) = a**2 - 4*a - 3. Let t be i(4). Sort g, t, 6, -4 in ascending order.\nAnswer: -4, t, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - (12 - (-9 - 2 - (-19 - -9)) - 14)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 2 j when four letters picked without replacement from jyvmmjtw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unt when three letters picked without replacement from nutuutuuuuttun.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, c: 10}. What is prob of sequence bb?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -74*v. Let w(z) be the first derivative of z**2\/2 + 197. Give w(o(h)).\nAnswer: -74*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78922.\nAnswer: 2, 39461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22993 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 55. Calculate the greatest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110111100101111011 (base 2) in base 16?\nAnswer: 23797b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 38. Let p = n - 5. Let -6*t**2 - 2*t - p*t**3 - 3*t**4 + t**4 + 0*t**4 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10.6. Let m = -175.25 + 180.8562. Let b = z - m. Round b to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00421177998 to six dps.\nAnswer: -0.004212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268601837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*5*1*sqrt(143))\/(1*-5*(sqrt(704) - sqrt(704)*-1)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 876. Let u(k) = -k + 146. Let l(n) = 5*t(n) + 30*u(n). Let h(a) = -2*a + 5*a - 2*a. Determine l(h(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 42*v - 3807\/4.\nAnswer: -(v - 141)*(v - 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 446 + -440. Solve 25 = j*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -935253 divided by 27\nAnswer: -34639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 6)\/((-15)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475374 (base 15) to base 3.\nAnswer: 20102020000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -7\/120*h**6 + 0*h**3 - 5\/12*h**4 + 0*h + 0 + 0*h**5 + 11*h**2. What is the second derivative of s(g) wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 11*w**6\/120 + w**5\/60 - w**4\/24 - 18*w**2. Give c(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21718.42659 less than 634812?\nAnswer: 656530.42659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/16 + (-1)\/(-4). Let p(w) = -39*w - 3. List the prime factors of p(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -21, -38, -61, -90, -125, -166?\n\"Answer: -3*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.25 - 0.25. What is the closest to c in 2, -1, -1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9008 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -4*b - 13, -5*k = 2*b - 715 + 696 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54039, 54040, 54041, 54042, 54043, 54044?\n\"Answer: c + 54038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927.6917 grams to kilograms.\nAnswer: 0.9276917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2. Suppose -11*n + 7*n + 48 = 0. Let y(c) = n*c - 4*c - 12*c. Calculate h(y(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10*k**3 + 3*k**2 - k - 23. Let v(n) = -2*n**3 - n**2 - n + 8. Let p(m) = j(m) + 3*v(m). Let d(u) = 4*u**3 - 5*u + 1. Give 4*d(r) - 5*p(r).\nAnswer: -4*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-1886)\/(-6996) + 7167\/(-26279)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/53)*(a**19*a)\/a assuming a is positive.\nAnswer: a**(1005\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-15.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (23\/46)\/(1*(-3664)\/40) and -77\/6.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 82. Let i(r) = -10*r + 42. Let u be i(l). Which is smaller: u or -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12))\/((27\/126)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 73, -2\/3, 5, -2?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.11 * -340.\nAnswer: -717.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 1\/3, 67, 0.3, 2\/7, 1\/30 in descending order.\nAnswer: 67, 1\/3, 0.3, 2\/7, 1\/30, -17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -27. Suppose -n - n + 10 = 0. Let f = n - 3. Which is the smallest value? (a) j (b) -2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let s = 2 - 1.6. Which is the second smallest value? (a) w (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-65)\/(-26))\/(((-245)\/672)\/(-7)))\/(-2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 474000 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 39a1 (base 11) to base 6\nAnswer: 40013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*a + 208. Let s = a + -35. Suppose 4*u = 2*k - 98, 3*u - 4*u - 95 = -2*k. Calculate the remainder when k is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(4\/(-8)). Let a = u + 1. Let v = 11 + -6. What is the biggest value in v, -0.3, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5156666.95 + 60641.95. Let u = p + 5096045.999942. Let b = 21 - u. Round b to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -17, 8, -2, 2.\nAnswer: -17, -3, -2, 2, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*p**2 + 1 + 3*p**3 - 30*p**2 - 7*p**2 - 4*p**3 as n*p + r*p**2 + q + o*p**3 and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**3 - 4284*d**2 + 1712*d.\nAnswer: 2*d*(d - 428)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) + -5)**2 - sqrt(3087))*-3 - (sqrt(28)*6 - sqrt(7) - ((sqrt(847) - sqrt(847)*3) + sqrt(847))**2).\nAnswer: -8489 + 682*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6309936 divided by 261\nAnswer: 24176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**2*t**3 + 2*s**2 + 2*s*t**2 + 3*s + 11808947*t**3 - 2*t**2 + 108640 wrt t?\nAnswer: 12*s**2 + 70853682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.68075 millennia in centuries?\nAnswer: 66.8075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.8 + 27.8. Which is the fourth smallest value? (a) 4\/9 (b) 3 (c) 4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -28, -96 in ascending order.\nAnswer: -96, -36, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -31*h - 2. Let t be p(-2). Suppose t = 4*a + 4*c, -5*c - 40 - 5 = -5*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 682560 and 16560.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 9*j - 13. Let o be s(6). Suppose 3*m - 84 = c, m = -0*m - o*c + 44. Calculate the greatest common divisor of 232 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 200*k**3 - 555*k**2.\nAnswer: -5*k**2*(k - 37)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, -8631954.\nAnswer: -8631954, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 52383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 525116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 45*h**2 - 433*h + 11017. What is u(41)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 107.575?\nAnswer: 107.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-100)\/96)\/(42\/(-56)) and 143\/258?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 18*c**2 - 5.\nAnswer: 18*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/12 + 11*g**3\/6 - 13*g**2 - 3*g. Let b be o(7). What is the tens digit of -98*(b\/(-3))\/((-8)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 639136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3681*q**2 + 99636*q - 99636*q)*(-2*q**3 - q + q).\nAnswer: 7362*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, 2\/7, 7, -0.493 in ascending order.\nAnswer: -0.493, 0, 2\/7, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1, -0.4, -15\/4 in descending order.\nAnswer: 40, 1, -0.4, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**2 + 4*r + 4. Let a be u(-4). Calculate the common denominator of -59\/26 and -1 + -3 + a\/(-56).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 38980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 14 + 13)*(2 + 1 - 4)*(9*k**2 + 0*k**2 + 16*k**2) to the form g + d*k + y*k**2 and give y.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 + 30 = 0. Suppose 0 = -t*y + q + 383, -5*y + 389 = -3*q - 0*q. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/15)\/11*((-1300)\/(-72))\/5?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 5?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q - 4*t = -12, 4*q - 2*t = -6. Suppose -2*c = -q*c - 202. What is the remainder when c is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 225731 and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17050 - 8823. Is g a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 102. Let r = h - 41. List the prime factors of 1890\/r + 4\/22.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, 60260 in ascending order.\nAnswer: 0.4, 4, 60260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161687, 323536, 485549, 647726, 810067, 972572, 1135241?\n\"Answer: 82*v**2 + 161603*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - 1) - (-12 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -44. What is the closest to 1 in u, -0.09, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6752907.9 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1847 divided by -115.\nAnswer: -1847\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + p + 8 = 4*p, 0 = -5*d - 3*p + 22. Let v be (15\/(-15))\/(d\/(-4)). Suppose v*h - 172 = -60. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1619.411 centimeters in micrometers?\nAnswer: 16194110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -15*l - 5*a, -35*l = -38*l - 2*a + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j - y, -14 = -5*j + 3*y - 1. Let x(a) = -3 + j*a**2 + 1 + 3*a + 2*a - 3*a**2. Let f be x(3). Sort 5, -4, f in ascending order.\nAnswer: -4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3188 and 34.\nAnswer: -108392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 + 0)*(3 - 4 + 0*n**3 - n**3).\nAnswer: -9*n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 19. Sort -1, 1, m.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1309087705?\nAnswer: 5, 71, 151, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 176*k + 859. Let q be z(5). Let j = -6 - -3. Let n = 3 + j. Solve n = -q*l - 4 - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y. Let j(c) = -3*c. Suppose -o + 4*o = 12. Suppose 784*h - 785*h = -5. Determine h*j(k) + o*i(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230230 + -123023?\nAnswer: -1013313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (5 - (-40 + 25) - 29)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6564880 and 60959600?\nAnswer: 426717200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 992241017.\nAnswer: 47, 331, 63781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v + v**3 + 0*v**3 - v**3 + 3*v**3 + (4*v**3 + 0*v**3 - 5*v**3)*(0 + 5 - 4) + 3064148*v**2 - 3064148*v**2 - 10520*v**3.\nAnswer: -10518*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:04 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12870016*x. Let u(b) = b. Calculate u(g(o)).\nAnswer: 12870016*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50972 - 3?\nAnswer: -50975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*1*11\/22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 2)\/(1\/3). Let p(v) = v**2 + 11*v + 2. Let s be p(-6). What is the units digit of s\/(-6) - (-3)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 + 14*g + 19. Is l(-5) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 13. Let i(q) = 316*q**2 + 4. What is i(t(f))?\nAnswer: 2844*f**2 + 24648*f + 53408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 5*m, 0*m + 3*g = m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -20\/3*s**3 + 21 + 0*s**2 - s**4 + 0*s + 5\/24*s**5. Let m(f) be the third derivative of u(f). Differentiate m(t) wrt t.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**3 - 4*s**2 - 2*s + 3. Let y be q(3). Suppose -w = 3 - y. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35813888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72960 and 512.\nAnswer: 145920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6 + 13*h**4 - 2*h**3 + 3*h**4 - 63*h**4 to w*h**4 + z*h + u*h**3 + p*h**2 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.918 + -8. Let l = -181.782 + 176.7. Let o = k - l. Sort -2\/7, o, 0.1 in decreasing order.\nAnswer: o, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 754503*k - 754504*k + 30.\nAnswer: -k - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 180 = -16*o. Suppose 234 = 7*u - o. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5809578 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 33*b**2 + 18*b - 16. Calculate p(-17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f - 3*d - 6, -5*f + 3*d + 6 = 0. Let k be (f\/2 + 1)*15. Suppose 4*j = -k + 23. Solve c - j*c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 70288562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517066, 1034106, 1551148, 2068192, 2585238, 3102286, 3619336?\nAnswer: 4136388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 5, v: 7}. Give prob of picking 2 v and 2 z.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*4*(sqrt(3328) - sqrt(3328)*-4))**2 + 4.\nAnswer: -63897596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, k: 4}. Give prob of picking 2 e.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**8\/168 - 5*a**4\/24 - 5*a**2. Find the second derivative of w(d) wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/7? (a) -4 (b) -1 (c) -2\/9 (d) 4 (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/54 and -157\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 44*w**2 + 123*w + 368. Give n(41).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 82 = 2*q + 85, -o = 3*q - 41. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4183, 4229, 4353, 4597, 5003, 5613, 6469, 7613?\nAnswer: 9087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b. Let n(v) = 11*v**2 - 9*v**2 + v - v. Give z(n(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1232\/(-21))\/(-16) + (-1)\/18*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*i = 1, -4*j - i = -9*j - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76179539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvwwwwwvvvw. What is prob of sequence wwww?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:35 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 109*k - 112*k - 6, 12 = 4*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**3 - 13*j**2. Let k(n) = 3*n**3 - 4*n**2. Calculate 3*f(g) - 8*k(g).\nAnswer: 3*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53519 in -2\/7, 7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -191755?\nAnswer: -958775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s. Let q(p) = 2*p - 1. Suppose 9*a = -3*h - 42, a = 3*h + 8 + 4. Suppose -3*n - 3 = 3. Determine a*t(m) + n*q(m).\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*n**4 + d**2 + 333*d*n**4 + 2*d*n - 115*n wrt n?\nAnswer: -24*d**2*n**2 + 3996*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -17079*y - 1246730. What is b(-73)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 2*n - 2*n)*(4*n - 3*n + 0*n) - 4892*n + 11233*n**2 - 4958*n + 9853*n as m*n + u*n**2 + p and give u.\nAnswer: 11235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, -14, -43, -84, -137, -202, -279?\n\"Answer: -6*n**2 + n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 57, 77, 93, 105, 113?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*q - 37*q + 8 + 2*q**3 + 76*q to the form l + u*q**3 + g*q**2 + i*q and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 102 = 5*f. Let l = -4 - f. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x + 10. Let b(c) = c**3 + 4*c**2 - 9*c + 20. Let k be b(-6). Suppose 3*l + 35 + 0 = 5*v, -k*v - 7 = 3*l. What is the tens digit of w(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {l: 4, k: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*17\/((-1496)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 19. Let q be d(4). Suppose -4*h + 11 = -13. Solve -h*p = -p - q for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than -4622\/511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 69*g**3 - 35*g**2 + 23*g - 4533. Let h(j) = 33*j**3 - 20*j**2 + 12*j - 2266. Let z(q) = -4*d(q) + 7*h(q). Differentiate z(v) wrt v.\nAnswer: -135*v**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72970 divided by -72970\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(109\/109).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-0.1201265.\nAnswer: 0.003603795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 19, -124, -1?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 6*x + 5. Let k be n(-6). Which is the third biggest value? (a) -1\/4 (b) k (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 1. Suppose -5 = -y + 49. Let n be (-45)\/2*-3*24\/y. Let c = 32 - n. Determine l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -619 - -625. Suppose 2*l - 15 = -3*t, -2*l + 7*t + 11 = w*t. Sort -8, l, -4, 0 in descending order.\nAnswer: l, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -598 + 0*t**2 + 598 + 2*t**2. Let a(h) = 147*h + 3. What is r(a(g))?\nAnswer: 43218*g**2 + 1764*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3095220996 rounded to five decimal places?\nAnswer: -0.30952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = a. Calculate the common denominator of -71\/44 and (-10)\/(-35) - a\/4.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**2 + 1\/3*u**3 + 168*u + 0. Let m(d) = -d - 1. Let v(a) = 16*a + 8. Let c(h) = -8*m(h) - v(h). Calculate c(o(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.4 (b) -11.6 (c) -3 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 33*q**2 - 80*q + 1049. Calculate s(30).\nAnswer: 1349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15\/72109 - -109102042\/5408175. Let x = c + -17\/50. Find the common denominator of -41\/33 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 4*u + 1. Let r = -15 - -15. Suppose r*c = -3*c - 15. Is x(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 5*o - 12. Let w be x(7). Suppose 4*t + s - 11 = 4, w*s - 6 = 0. Differentiate -13 + n**t + 6*n**3 + 11 - 29 wrt n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (2 + 6 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011111 (base 2) to base 13.\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 64*a - 672. Is 168 a factor of l(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + 66\/12. Let h = -6\/3281 + 488941\/39372. What is the common denominator of h and (-15)\/p + 3\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -16*o**2 + 11*o - 11. Let k(u) = 4*u**2 - 129 + 0*u**2 - 135 + 266 - 2*u - u**2. Determine 11*k(p) + 2*x(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 8 = -14. Solve 1 = -q - b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2198 - -50?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 7 (b) -59\/4 (c) -3 (d) 4\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8851, -8537, -8211, -7867, -7499, -7101, -6667?\n\"Answer: j**3 + 307*j - 9159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-33) - 1*2\/(-11). Suppose 25*u - 28*u + 53250 = k. What is u rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. Suppose -50 = -0*j - k*j + 5*d, 3*d + 87 = 5*j. Let q = j + -11. Which is greater: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((585\/(-40))\/13)\/((-6)\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 5*b**2 - 8*b + 8. What is q(5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttptgtgttgttttt. What is prob of picking 3 t and 1 g?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:36 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Calculate the remainder when (-3 - 31)*(-3)\/6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/80336 and -19\/55231?\nAnswer: 883696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7834763483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3261, -3265, -3269, -3273, -3277, -3281?\n\"Answer: -4*f - 3257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/12 + 5\/3. Let g be -5*l\/(-1)*-1. Let v = 13 + g. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k + s + 26 = -27*k, -3*s = -k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2 - (-63)\/15) + -3. Let y(p) be the second derivative of -1\/10*p**4 + 0 - 1\/50*p**5 - t*p**2 - p - 1\/5*p**3. Factor y(d).\nAnswer: -2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33978351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 20. Let q be c(-23). Suppose 5*z = 5*z + q*z. Solve z = 3*k - 0*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - 2*s**2 - 61*s + 56*s - s**3. Let m(t) be the second derivative of 3*t**5\/20 + 7*t**3\/3 + 2*t. Determine 8*d(i) + 3*m(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6911.\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(125*(-216)\/(-15300))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 13*g + 18. Let h be u(13). Let f be (1\/(-3))\/((-5)\/180 - 0). Calculate the greatest common divisor of f and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -274822, 39, 5 in decreasing order.\nAnswer: 39, 5, -274822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:56 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.077 + -0.123. What is the fourth biggest value in 1, 2\/17, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*q - 1 - 2 = 0, -3*c + 5*q = 1. Let p be 6\/(-21) - c\/7. Suppose d + 2 = -p. Does d = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - x**2 + 9. Suppose 5*k = 4*q - 10, -3*k - 3 - 3 = -4*q. What is the units digit of r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j - 18. Calculate the remainder when 118 is divided by d(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708 (base 9) in base 14?\nAnswer: a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240002043 (base 5) in base 8?\nAnswer: 32414666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-50))\/(1\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -57 + (240 - 194)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 18. Is 16 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzitttccxgccttg. What is prob of sequence zc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 3 = -13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -12*t + 149 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -693, -707, -735, -783, -857, -963, -1107, -1295?\n\"Answer: -u**3 - u**2 - 4*u - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 75*y - 139*y + 63*y + 263, 0 = -i - y + 55 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/(-75) - (7 - 3)) + (-8)\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 (base 10) in base 13?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 22 (b) 1\/6 (c) -1\/6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*r + 2*r. Is (-10)\/45 + (-61728)\/(-27) + r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 at most 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29628900?\nAnswer: 2, 3, 5, 7, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - -395736128011.\nAnswer: 395736128010.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 3. Let g(d) = -d**3 + 2*d. Let i be g(0). Let n be p(i). Suppose 0 = -n*x + 7*x - 168. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a century?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52470 divided by -1642.\nAnswer: 26235\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m. Suppose d + 1 = -1. Let p be d\/11 + (-65)\/(-55). Let n(r) = r + 1. Determine p*n(k) - x(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + g**2 - 3*g**2)*(-6 + 0 - 12) to l*g + o + b*g**2 and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/85 and 99\/22945682?\nAnswer: 114728410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/192*-8)\/(1785\/170)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-8))\/(1\/32). Suppose -r + f = -56. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 141. Put -1, 0.06, a in increasing order.\nAnswer: -1, 0.06, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -15, -3, -425, 3 in descending order.\nAnswer: 3, -2, -3, -15, -16, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 4. Let s(l) = -1330*l - 1140. Calculate 570*o(k) - 2*s(k).\nAnswer: 2090*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10956 and 34716?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + k + 3*k)*(2*k + k - 4*k)*(5*k - 5*k**3 + 4*k**3 - 4*k).\nAnswer: -2*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*s - 79*s - 13*s + (-2*s + 5*s - s)*(-5 + 4 + 2)*(2 + 3 - 6) to g + o*s and give o.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4441 - 4436. Solve -r*j - 108 = -103 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -o - 2*o - 12, -3*o + 3*v + 12 = 0. Suppose o = -5*f - 4 + 24. Suppose f*b + 0 - 4 = 0. Is 6 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 6:41 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 18 + 8 + -19 - (0 + 27) - 5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*u*v**2 + 2*j*u + 3*j*v**2 + 8*j - 27*u + v**2 - 3*v + 4 wrt v.\nAnswer: 4*j*u*v + 6*j*v + 2*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -13. What is the remainder when 29 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*l - 3*l + 1 + 0 to y*l + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -623 + 623. Solve 3*j - 4*j + 2*y + 8 = i, -4*j + 4*y + 20 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972188*5.\nAnswer: -4860940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 67*p - 6 + 3 - 64*p + 236*p - 75*p to the form z*p**2 + v + l*p and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a*w**3 - 228368*a*w + 92*w**3 - 9892*w with respect to a.\nAnswer: 7*w**3 - 228368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 98.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Suppose -10 = 2*h - 50. Let n(j) = h*j**2 + 33*j**2 - 18*j**2 + 2*j. What is n(a(r))?\nAnswer: 35*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5416 in -4, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2. Let i = 24 + -2. Let k = i + -20. Let g(r) = r**2. Calculate k*q(x) - 14*g(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2833?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 72? (a) -2 (b) 8 (c) 46 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21*22\/(-528)*12*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 7 = -o - 28, 0 = 5*b - 4*o - 24. Suppose 3 - 39 = -b*d. Let c = d - -26. Solve 18 = -j - 4*m, -3*j - 4*m - c + 13 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326744 and 57904.\nAnswer: 4574416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-21 + 77 + -1 + -25 + -175)\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let m(b) = 6 - b**q + 2*b + 4*b + 60*b**2 - 55*b**2. Calculate m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 0, 4*f - 3*s = 4 - 15. Let j = 1 + -0.5. What is the third biggest value in 11, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pup when three letters picked without replacement from upupjjuj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 11:11 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 0, -3*p + 7*d = 3*d - 12. Suppose -w + 2*q + 3*q = -4, -3*q = w - p. Suppose -3*v - c + 122 = 15, 134 = w*v - 3*c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -55.95, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0.1, 4, 5\/3, -0.1, -29, 1615\/56?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*t - 98 + 98 as g + w*t and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*x - 4*x + 2 + (3 + 1 - 2)*(x - 2 + 2) - x + x - 3*x.\nAnswer: -7*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 + -84. Let o(k) = -k - 4. Calculate o(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/13 - 296*j**3\/13 - 11244*j**2\/13 - 21608*j\/13 - 10658\/13 = 0.\nAnswer: -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 - 130*a**2 - 48*a - 207. Give u(-43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193575240 divided by -32262540.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03361 - 0.10639. Which is the smallest value? (a) g (b) 0.01 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27\/181 - 353\/10860. Let x(o) be the third derivative of 0*o + 7\/24*o**4 + 0 + m*o**5 - 4*o**2 + 1\/120*o**6 + 0*o**3. Determine x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/58 and -29\/85479268.\nAnswer: 2478898772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.02 in 0.3, 4, 2\/7, -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2470c - -3bb?\nAnswer: -24341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -37. Let b(m) = -4 + k*m**2 + 4 - 18*m**2. Let p(y) = 2*y**2. Give p(b(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -3547\nAnswer: 1773.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 38*l + 19*l - 11*l)*(-2*l**2 - 3*l + 3*l) to the form o*l**3 + r*l + t + y*l**2 and give o.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.085 + 0.014. Let q = -11990.699 + 12000. Let f = q + a. What is f rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 3:17 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-10)\/(-6))*18. Suppose q = -2*v - v. Let i(a) = a**2 + 6*a + 3. Calculate i(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 5*f + 4*a + 18, -6 = 3*a. Suppose -4*q + 2*o + 3*o = -13, 5*q = -2*o + 8. Solve 0 = 5*j - 0*y - 3*y + q, -5*j - f*y = 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447559 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y + 6. Let j(n) = 2*n - n - n + y*n. Let k(u) = -4*u**2 + 4*u - 4*u. What is j(k(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-9)*3\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 4)*(0*g + 2*g + 0*g) - g + 3*g - g)*(4*g**2 + 2*g**2 - 8*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 36 = -12*w. Which is greater: w or 35?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*k, -17 = 5*g - 2*k + 31. Let t = 34 + -38. List the prime factors of t\/(g\/78) - 1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/3 + 644576*h\/3 + 2578240\/3.\nAnswer: 4*(h + 4)*(h + 161140)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -335\/6. Let g = -0.16 + -8.84. Let u = -8 - g. What is the third smallest value in p, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (11 - (21 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1000001010100100001?\nAnswer: -1000001010100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -28, 34\/19 in increasing order.\nAnswer: -28, -4\/3, 34\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-18) - (-312)\/5616?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*g**2 + 0 + 1\/5*g**3 + 16\/5*g.\nAnswer: g*(g + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 22 - 4 - 2*i + 5 - 8*i**2 + 21*i. Find the first derivative of z(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16064 = -6*m, -4*j + 18*m - 16104 = 22*m. Is j less than -4022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.95 - -6. Let h = i - 0.05. Which is the second smallest value? (a) 2\/7 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 + (-36)\/48)*(9 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089030770 divided by -217806154?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 892501 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 103*m + 114*m = 40, -2*q + 16 = 2*q + 5*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -1.7. Let j = m - -1. Let f = -0.3 + 0.2. What is the nearest to f in 0.1, j, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 3670*t - 226440.\nAnswer: -5*(t - 666)*(t - 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 4*g + 9. Let u be h(6). Let k = 6 + u. Solve 16 = -3*f + w, 5 = 2*w + k*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v)\/(v**(4\/7)\/v) assuming v is positive.\nAnswer: v**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 4*i - 1069*b + 1073*b, -5*i + 3*b = 100 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 17*l + 9. What is the remainder when j(14) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -216, -4, -0.5, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-815764)\/(-184) - (-1)\/2?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10481.\nAnswer: 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68642 and 6?\nAnswer: 205926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*h - 97. Calculate the common denominator of h\/(-10) + 11\/44 and 89\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2106.924t?\nAnswer: 2106924000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, 65, 141?\n\"Answer: 76*r - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 3*q + 78, 0 = -5*j + 4*q + 134. Solve -6*m + m + 6 = 3*t, 5*m - 5*t = j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -787996, -787994, -787992?\nAnswer: -787990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(66) + (sqrt(66) - (sqrt(66) + -2*sqrt(66))))*-4*-5)\/(sqrt(6) + -5*(3*sqrt(6) + sqrt(6)) + 2*sqrt(150)).\nAnswer: -80*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s**(-14))*s\/(s\/(((s**18*s)\/s)\/s)) assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 divided by 2?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 10:51 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10011010122 (base 3) to base 11\nAnswer: -426a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-56)*-3*4\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1205 and 3133.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -44, 4 in decreasing order.\nAnswer: 4, 3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times 41996446\nAnswer: -6299466.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-5 - -1) + 3. Suppose 4*m - 5*m = 3*v - 10, 5*m - p*v = 16. What is the remainder when (6\/m)\/(6\/8) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 11\/18 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v + 5. Let s(b) = -b - 4. Suppose -7 - 1 = -4*o. Let m(y) = -5 + o + 4. Let z(x) = 6*m(x) + s(x). Give -2*r(j) + 5*z(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -1317489246956\nAnswer: 1317489246955.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 9*p = -2. Solve -p*f - 1 = i + 2, 4*f = 4*i - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/7 (c) -29\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 4270?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3502738?\nAnswer: 2, 877, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 307 = -558. Let m = y + 1087\/6. Find the common denominator of m and (5\/60)\/(6\/496).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(50\/(3200\/(-1248))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 8*t**2 - t - 13. What is l(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*q = -0*g + 40, -4*g + 2*q = -14. Suppose 4*h + g = h. Let s(w) = -4*w - 3. Let p be s(h). Put -1, p, 3 in descending order.\nAnswer: p, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h + 116 - 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25443\/7126 - 1\/1018. Calculate the common denominator of 39\/2*(91\/(-13))\/28 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 89 + 19. Suppose 0 = 2*p - u - 11. What is the remainder when p is divided by (-46)\/(-6) - 4\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 2, 92 in decreasing order.\nAnswer: 92, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 - 145*h**2 - 38*h + 28. Calculate the remainder when l(-36) is divided by 88.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 2059*m - 18606. Calculate n(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19293256?\nAnswer: 2, 71, 33967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -5. What is the least common multiple of m\/3 - 55\/(-3) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2 + 1. Let o = -3 + 5. Suppose -o = 2*i - i. Let v be i\/(-6)*(-6 + 0). Give z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -1\/3*y**4 + 0*y**2 - 10*y + 0 - 4\/3*y**3. What is the second derivative of r(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 1. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*d*i**3 + d*i + 12354*d - 48*i**3 + 94*i + 731 wrt i.\nAnswer: -90*d*i**2 + d - 144*i**2 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, a: 6}. What is prob of sequence ua?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 53*s - 3502. Let y be u(66). Which is the fourth smallest value? (a) -0.5 (b) y (c) 6\/5 (d) -0.4 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15*1)\/((-6)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0*d**4 + 0*d**7 - 3*d**2 + 0*d**3 + 0*d - 1\/540*d**6 + 1\/1512*d**8 + 0 + 0*d**5. Determine b so that u(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:01 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(((s\/s**(-1\/3))\/s)\/s)*s)\/s)**(3\/11)*(s\/(s\/(s**1*s)))**(-11) assuming s is positive.\nAnswer: s**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/((sqrt(18)\/sqrt(3))\/sqrt(2)))\/((sqrt(320) + sqrt(320) + -1*sqrt(320) + sqrt(320) - sqrt(320)) + 2*sqrt(180)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(-2\/9)*t*t))\/t)\/t**(-1\/9))\/((t**1*t)\/t)**(-38)*t*t**(-2)*t**7*(((((t**1*t)\/t)\/t*t)\/t)\/t)\/(t**1\/t) assuming t is positive.\nAnswer: t**(359\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.1 (b) -2\/9 (c) -1.14 (d) 0.07 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, -0.3, -28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227.35ml in litres?\nAnswer: 2.22735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -74\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(-26)\/(c**5*c*c*c*c**(-4)))**(-19) assuming c is positive.\nAnswer: c**(-912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 1. Is r(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -547 less than -533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b)*(1 + 2 + 5)*(-1 + 4*b**3 + 1).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 15. Suppose 4*b + 850 = i*b. Suppose 3*z = -2*z + b. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let r(z) = -z. Let v(p) = 2*d(p) - 3*r(p). Let i be ((-3)\/2)\/((-21)\/28). Let b(y) = -3*y**2 + 8*y**i - 2*y**2. Calculate b(v(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10297 and -23?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2931297 - -4?\nAnswer: -2931293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 146. Let x = 134 - 136. Let j be n\/12 - x\/6. Calculate the greatest common factor of 20 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/14151 and 79\/378?\nAnswer: 1783026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63927*t**2 - 43673*t.\nAnswer: -127854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 0, u + 60 = 4*f - 46. Let h = -42 - u. Calculate the remainder when h is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(77) + (-2*sqrt(77)*-4 - sqrt(77)) + 6*1*sqrt(77))\/(sqrt(70)\/(sqrt(60)\/sqrt(6) + sqrt(10)) - 5*sqrt(7)*-2).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/3 - 44*l**2\/3 + 172*l - 288 = 0.\nAnswer: 2, 18, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + -4 + -1 - (3 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 + 5*g**4\/12 - 3*g**2\/2 + g. Let p be c(-3). Solve 14 = -h - 4*d, 3 - p = -4*h + d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + (-8 - (-6307)\/448). Let r(b) be the third derivative of 17*b**2 + 0 + 1\/160*b**5 + 1\/320*b**6 - y*b**4 + 0*b + 3\/16*b**3. Factor r(u).\nAnswer: 3*(u - 1)**2*(u + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22201 (base 3) to base 14.\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1178, -2356, -3534, -4712?\n\"Answer: -1178*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -0.08, 3\/5, -0.4, -0.25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 4.93. Let c(z) = 11*z - 27. Let d(k) = 6*k - 14. Let a(b) = 3*c(b) - 5*d(b). Let r be a(4). Sort 2\/3, r, w.\nAnswer: w, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-234)\/48)\/(8\/32))\/(25\/50).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41806.\nAnswer: 2, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q\/(q*q\/(q**7*q)))\/(q\/(q**(1\/3)*q))**(-2\/19) assuming q is positive.\nAnswer: q**(568\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1795 - 1788. Let k(c) = -7*c + 5. Let t be (8\/6)\/((-2)\/6). Calculate the remainder when k(t) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u - 1871*u**2 - 1807*u**2 + 3565*u**2.\nAnswer: -113*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18673242, -37346484, -56019726?\n\"Answer: -18673242*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 8*a - 52. Calculate the least common multiple of a and (-3)\/(-9) - 46\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 16*a - 9. Let b be q(11). Let v = b - -159. Solve 4*z**4 + 32*z**3 + 72*z + v*z**2 - 36 + 17 + 19 = 0 for z.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 444.3 - 443.4. Which is the closest to -1\/4? (a) -1 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734370 is divided by 4771?\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -6211?\nAnswer: -6214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/37? (a) 3\/2 (b) 1\/40 (c) 1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkxzzrririzzz. What is prob of picking 2 r and 1 k?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 82. Suppose 41 = 2*a + 3*i, -3*i + 25 + 0 = a. Suppose n = a + 5. What is the remainder when r(0) is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 4340 = 184*y + 62*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 2. Suppose 0 = -h + 2*h - 5*j - 46, 5*h - j = 134. Let l = h - g. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14661900 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -3. Let u be ((-4)\/6)\/((-4)\/18). Suppose 5 = u*n - x. Solve -4 + 19 = n*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/6 - 14*u**3\/3 - 21*u**2 - 98*u. Calculate the lowest common multiple of 22 and r(-8).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75614 is divided by 2410.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:49 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27813?\nAnswer: 3, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98372453 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242.\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*k**3*x**3 - 3*k*x**3 - x**3 - 249*x**2 wrt k.\nAnswer: -57*k**2*x**3 - 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13\/3))**(-2\/77)*r*r*(r\/(r*r**(1\/28)*r))\/r*r**(-20) assuming r is positive.\nAnswer: r**(-18409\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 7*i**2 + 15*i - 2. Give d(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 4*n**2 + (3 - n**2 - 3)*(4 - 4 - 2) + (3*n**2 + 6*n**2 + 9*n**2)*(3 - 2 - 2))*(-24 + 16 - n + 10).\nAnswer: 15*n**3 - 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66.9 and -0.09115?\nAnswer: 66.80885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.56, 0.4, -2 in ascending order.\nAnswer: -2, 0.4, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 3*i. Let s be h(3). Suppose 4*q + 24 - 4 = s. Let u be (-2)\/q - 152\/(-20). Solve -z = -5*z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2945108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 7}. Give prob of sequence kk.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.1. Let g = -1 - -0.9. Which is the closest to -1\/2? (a) g (b) 1\/6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 - -49. Let q = t + 83.0000049. What is q rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 34 - 18 = 0. Suppose l*q = 436498 - 39998. Round q to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**3 - 9*w**2 + 6*w - 11. What is the remainder when g(4) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 2217*y + 10 + y**4 + 2237*y - 4419*y to u*y**2 + v*y**3 + i + x*y + g*y**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581281413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0912 + 702.9088. Let t = o - 703.16255. Let n = t + 0.159. Round n to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + b - 1. Let s(c) = 3*c**2 + 8*c - 3. Determine 3*k(o) - s(o).\nAnswer: -6*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzeez. What is prob of sequence zz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 127. Let w be y(31). Solve 3*i = -m + 8, -2*i + w*m - 13 = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 350.1424 milliseconds?\nAnswer: 0.3501424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let y be 30\/(-5)*u\/3. Let q(r) = -r**2 + 5*r. Determine q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684 divided by -421?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 1. Let g(v) be the first derivative of -2*v**3 - 13*v**2\/2 + 13*v - 4. Let d(m) = -g(m) + 4*h(m). Is d(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 31 + 8 = -159. Solve -r*u - b + 8 = 0, 6 = 3*b - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 20 (b) -0.3026 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/70 and -141\/181930.\nAnswer: 181930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*l**2*n**2 - 140*l**2*n - 25497*l**2 - 2*l*n**2 + 5*l*n - l + n**2 - 161720*n + 1 wrt l?\nAnswer: 50*n**2 - 280*n - 50994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -2*(1 + sqrt(2)) - ((sqrt(24) - sqrt(600))\/sqrt(12))**2.\nAnswer: -34 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/7 and 87\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + 1460\/132 + -2. Which is smaller: m or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 11, 0, -3, 6, 4, -8 in increasing order.\nAnswer: -107, -8, -3, 0, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, d: 5, x: 8}. What is prob of sequence ffdd?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 9*k + 11. Let z be b(-5). Let i = -8 - -11. Suppose 4*d + z = f, -f + d = -0*f + i. Is -6 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -6*n + 185, 0 = 8059*n - 8063*n - j - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448\/83 greater than 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 416 = 70*u + 6*d, 2*u - 208 = 2*d. Solve 0 = -45*h - 121 - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.2 - 7.2. Which is the closest to g? (a) 2\/9 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 191 - 204. Sort 0.1, -2\/15, -1\/4, f in decreasing order.\nAnswer: 0.1, -2\/15, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 2135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddodoodddoododdooo. Give prob of sequence dooo.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945\/998 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and -167\/10387650.\nAnswer: 41550600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/4 (b) -6 (c) 0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 119. What is the remainder when (108 - 0)*(-12)\/x is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 84067628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**7\/5040 - t**6\/120 - t**5\/30 + 11*t**4\/8 + t**2 + 17. Let y(p) be the third derivative of i(p). Determine y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 5895*p + 5890.\nAnswer: 5*(p - 1178)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83223659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -15*i**6\/2 - 21*i**5 + 25*i**4\/4 + 125*i**3\/3 + 97. Factor s(b).\nAnswer: -5*b**2*(b - 1)*(3*b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 + -152. Suppose -35*r - 25 = -m*r - 3*q, -2*r = -q - 21. Solve 1 + r = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1351173990 to the nearest integer?\nAnswer: 36758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(23*d**2 - 8 - 35*d**2 + 6).\nAnswer: 12*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -166 + 85 + 80 + 69*l. Let f be b(-2). Let h = -57 - f. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 167, 401, 729?\nAnswer: 1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g + 9 - 2*g**2 - 10 + 2*g - 13*g to the form q*g + r*g**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.869 and -21.\nAnswer: -20.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 17?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 11:23 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30308899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26066885 by 4.\nAnswer: -26066885\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 58080216*i - 210831968162916.\nAnswer: -4*(i + 7260027)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.49 - 5.69. Let f = -6.67 - g. What is f rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/63*-3)\/(126\/(-294)). What is the biggest value in -62, j, -2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167380823.\nAnswer: 19, 337, 26141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 34*p - 126413 = 31*p, -5*p = -35. List the prime factors of d.\nAnswer: 2, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/2503?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 7*t - 3*t - 3*z, 92 = 4*t - 5*z. Suppose t = 2*r - 10. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4469 and 931 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/356798 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsccxsnssbsssscscss. What is prob of sequence xs?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-105)\/(-49))\/(18\/84). Let k(n) = -n**2 + 9*n + 4. Let o be k(8). Suppose o*b - 8 = c*b. What is the least common multiple of b and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.979132ug to milligrams.\nAnswer: 0.000979132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 2:50 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 - 5. Let h(o) = -10*o**2 - 6. Let p be (-30)\/(-2) - (14 + 24 + -27). Determine p*h(i) - 5*f(i).\nAnswer: 15*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6899 (b) -3 (c) -4 (d) -49 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2 = 2*h + 6, 0 = -5*h - s + 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.121 * -3.3148\nAnswer: -0.4010908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 4 - (-4)\/2. Let v(p) = -5*p + 130. Let w be v(t). Suppose 22*x - w = 17*x. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15447.478942 rounded to the nearest integer?\nAnswer: -15447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 128490973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 1. Let g(u) = 3*u - 2. Let d(p) = 2*c(p) - g(p). Suppose -v - v = 2*z - 12, 0 = -4*z + 20. Let f(a) = a - 1 + v + 2*a. Determine f(d(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2\/9 (c) 1\/3 (d) -0.08332 (e) 0.22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let c(x) = 3*x - 5. Let p(z) = -c(z) - 4*q(z). Let j(u) = -5*u - 6 + 7*u**2 + 0 + u**3 - 2 - 2*u**3. Let o be j(6). Determine p(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 9*h**2 + 1. Give g(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4172168?\nAnswer: 2, 7, 11, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 23 - 13)*(3*g**2 + 0*g + 0*g).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-63) + (-940)\/120.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 6\/30*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4561 + 963. Let n = h + 50349\/14. Let q = -51\/14 - 52\/77. Find the common denominator of n and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1349*g**2 - 7*g - 10. Let h(r) = -2*r**2 + 14*r + 13. Let v be h(8). Let n be t(v). Suppose -4473 = 7*j - n. Is j 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 59705278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-24)*6\/9)\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/3))\/r*r**9)\/((r**(1\/6)\/r*r)\/r)**(-10) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22135 (base 7) to base 9\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2. Let s(z) = 5*z**3 + 5*z**2 + 3*z + 3. Let i(t) = -6*n(t) - s(t). Let q be (3\/(-2))\/(9\/12). Give i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3335, 0.1, 8\/3, -6 in increasing order.\nAnswer: -6, 0.1, 8\/3, 3335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q = -110*q + 4125. What is the highest common factor of 240 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53082 less than -53082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 2*h. Suppose h*t + 98 = 2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:57 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 8, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 32 - 5 = -d, -3*a + 3*d = 81. Let v(q) = -4*q + 8. Let p be v(a). Let n = p - 112. Solve m + 2*l - 20 = -2*m, -m = n*l - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -45, -82, -145, -240, -373?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*a = -g - 188193165, -15 = 5*a. Let o = g + -25024354. Suppose 3*h = 6, 2*v - 3376061 = -h + o. Round v to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1844 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -70. Solve 5*n + 29 = t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 7*i - 24. Let x be d(-8). What is the greatest common factor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -158.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 43*a**2 - 206*a - 55. Calculate z(6).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d. Let o(n) = 137*n. Determine s(o(v)).\nAnswer: 411*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -836 + 954. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(36)\/(sqrt(48)\/(2*sqrt(4) - sqrt(4))))**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1624.88 (c) 81\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:01 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112578233 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: Let c(f) = -f**2 + 9*f - 10. Let h be (-1 + -2 + 2)*-14. Let b be (0 - -1)*h\/2. Let o be c(b). Solve r - o*s + 7 - 1 = 0, -5*r = -s + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 + p - 2. Let r be n(0). Let i be 1\/(-3) + 13\/3. Let a be (-3)\/(18\/i)*2. Which is bigger: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3291, 3463, 3635, 3807, 3979, 4151?\nAnswer: 4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*b, 3*f + 5*b - 6 - 1 = 0. Let p be 17\/f + 2\/(-8). Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -24872?\nAnswer: 24872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 (base 9) in base 11?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100066 is divided by 24985.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0572 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.60905 rounded to one decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 = 36. Let s = 26 - a. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168095302.\nAnswer: 2, 5413, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2283.0144 to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(19)*1 - (-4 + sqrt(19) + sqrt(19)*4).\nAnswer: -3*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.33 + -0.43. Which is smaller: -17 or k?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16718 divided by 3.\nAnswer: -16718\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 143651314 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -13 - 8. Let t be (1 + -2)*(-6 + 5). Let o be (-2)\/b*(-2)\/t. What is the second smallest value in -0.4, o, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -114? (a) 648 (b) 2\/3 (c) -4 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 34, 63, 126, 235, 402, 639, 958?\n\"Answer: 2*p**3 - p**2 - 4*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 548610*g**3 + 238704.\nAnswer: 1645830*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31597.\nAnswer: 19, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 6 - 1) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**3\/3 - 90300*z**2 - 5059936*z - 212561216\/3 = 0.\nAnswer: -28, 67781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 119054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -446 - -351.85. Let l = f - -94. Is 2\/5 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-3*sqrt(30))\/(sqrt(6) - 5*sqrt(30)\/sqrt(5)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4086 + 6081. What are the prime factors of r?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -316536 and 51?\nAnswer: -16143336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/13*(-5)\/70*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 156*q - 3446. What is the least common multiple of 888 and n(33)?\nAnswer: 20424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 12 = 3*a, 6*a - 13 = z + 8*a. Suppose 28 = o + 3. Solve 4*i - 5*w + 25 = 0, 4*i + 5*w - o = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1273673 + 4*p**2 + 1273673.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11193 smaller than -3394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 938.3 + -938. Let j = -17 - -14. Let a = -14 - j. What is the third biggest value in k, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-40) + (-130)\/(-25) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3210, -10, 2, -11, 1, 5, -14 in descending order.\nAnswer: 3210, 5, 2, 1, -10, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*q + 469*q - 1068*q.\nAnswer: -962*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*((v**34*v)\/v)\/v))\/(v*v*v\/(v*v\/v**(-27))*v))\/(v*v**15*v*v**(-5\/6)*v) assuming v is positive.\nAnswer: v**(-151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(68))**2 - sqrt(17)) + (5 + 1 + sqrt(17))**2.\nAnswer: 11*sqrt(17) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 + 2*r**3 - r**3 + (2 + 3 - 3)*(0*r**3 - 3*r**3 - r**3) to f*r + g + a*r**2 + o*r**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 709 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/167593?\nAnswer: 6\/167593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {g: 1, h: 1, c: 1, w: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 11 = -2*r, 10 = -334*j + 333*j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -23*r**8\/336 + 13*r**4\/24 + 8*r**2. What is the second derivative of a(u) wrt u?\nAnswer: -460*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*sqrt(125) - sqrt(125)) + sqrt(125))*-2)**2 + -4 + sqrt(125) + (sqrt(125) - (0 + sqrt(125))**2*3).\nAnswer: 10*sqrt(5) + 49621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*m**3 + 0*m**2 + 2*m**2 - 6*m**2 + 13*m + 2*m**2 + 24 - 58*m**3 in the form r*m**3 + l*m + v + o*m**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*1*sqrt(63))\/(sqrt(144) - -3*sqrt(144)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 697*z**3 - 100*z**2 + 38*z**2 + 60*z**2 + 2*z to g*z + k*z**2 + u + n*z**3 and give n.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 29 - 2*i - 17 + 2 - 98 as p + d*i and give p.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9*p**2 + 7*p + 14. Let u be (12 - -4)*-1 - -4. Let a be n(u). Is (-1 + a)\/(-7 - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**7\/210 + q**4\/12 + 5*q**2\/2 - 4*q. Let s(j) be the first derivative of d(j). Find the second derivative of s(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let l(g) = -2*g + 4*g + 2 - g**n + 5*g. What is the units digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061365 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1033375 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 5, -0.1, 46 in increasing order.\nAnswer: -4, -3, -0.1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 563549 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273507598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 3*y + 4*i, 3*i + 241 = y + 227 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1527018 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) 0.2 (c) -1\/6 (d) -0.04 (e) -2271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:07 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 136 = 0. Let u = t + -7. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 246.3 in -2, 6, 0.5, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616195273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0*m + 7*m + 0 + 11 + 2*m. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.1 (b) -71\/5 (c) -1\/2 (d) -1.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -25. Is 5 a factor of -2 - v\/(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8991168 is divided by 44732?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -32*17\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2675293 + 2675293 - 21*z**2.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.2 - -3.6. Let a = -8.6 - l. What is the second biggest value in 4, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1228.91 and -0.15.\nAnswer: -1229.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 4*l - 3*l + (0*l - 3*l - l)*(-33 - 7 - 15) to the form u*l + k and give u.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 6)*(-2*y + 3*y - 3*y) + (-4*y + 6*y + 0*y)*(4 - 1 + 0).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 9*a**2 + 3*a - 3*a - 3*a.\nAnswer: -9*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2. Let d(t) be the second derivative of t**3\/2 + 6*t. What is d(q(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 9*z - 36. Does 10 divide v(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - (0 + -1)*-3. Solve n = -4*m - 3*q + 32, 3*q = 2*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - ((47 - -23) + -48)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**2 + 11*o - 35. Determine q(5).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 54. Let j be b(0). Suppose 2*m - 5*o - 141 = 129, -o = 0. What is the greatest common divisor of j and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 + -134. Let i = 7 - 11. What is the second biggest value in i, 3\/5, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + 49 + 2338\/(-90))\/(2\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483312 by 40276.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d + 60. Let t = d - -32. Solve -4*s + 3*h + 27 = s, h = t*s - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 11:16 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.346 and 0.4.\nAnswer: 0.1384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(n**3 + n**3 - n**3 + (4*n**3 - 4*n**3 + 2*n**3)*(0 - 1 - 1)) + (0 + n + 0)*(0*n + 2*n**2 + 0*n) to h + d*n**3 + b*n + p*n**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -44*y - 66. Let u(j) = j + 2. Let r(s) = -t(s) - 33*u(s). Let g be (-1)\/(-1*2\/4). What is the tens digit of r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.061 or 0.3?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -540.01.\nAnswer: -540.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*h + 3*o, 82 - 62 = 3*h + o. Solve -2*k = 3*j - 7, 5*k - j = h*k - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.024641 and 0.0674.\nAnswer: 0.042759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 + 2*k - 11. Determine b(3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*i + 24, 3*i - l - 22 = 14. Suppose i*p - 9*p = 18. Suppose 2*w = 3*w - 6. Calculate the greatest common factor of p and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00205279 rounded to 6 decimal places?\nAnswer: 0.002053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 2)*(-14*h**4 + 34*h**4 + 7*h**4) + (0 + 0 + 2*h**2)*(-h**2 + 4*h**2 - 2*h**2) in the form q*h**4 + d + r*h**2 + j*h**3 + y*h and give q.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + 0.35. Let p = -3.4 + j. Let s be 1*9\/(-21) + 0. Sort p, s, 1\/7 in decreasing order.\nAnswer: 1\/7, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319597460 to the power of 1\/2, to the nearest integer?\nAnswer: 17877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 194 (c) -24219 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:28 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 16.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 10, 4 in descending order.\nAnswer: 10, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 3*v - 12770*v**2 + 11*v - 5*v.\nAnswer: -12770*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 0*m + m. Let r(k) be the third derivative of 0*k**4 + k**2 + 1\/60*k**5 + 0 + 0*k**3 + 0*k. Calculate r(u(y)).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -40*r + 99. Which is smaller: r or 7\/36?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvyuydf. Give prob of sequence yvfu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 5, -6, -276 in decreasing order.\nAnswer: 26, 5, -6, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12)*t**6*t assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*t - 3 = 1, -5*p = -5*t - 20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3. Suppose 3*n + n = -5*f + 14, b*f - 7 = -n. Suppose -4*i = -f*i - 12. Let l(y) = -3*y + 9. What is l(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6168, -6183, -6198, -6213, -6228, -6243?\n\"Answer: -15*b - 6153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 919, 877, 841, 811, 787, 769, 757?\n\"Answer: 3*v**2 - 51*v + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519029.7l to millilitres.\nAnswer: 519029700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2394 and 28994.\nAnswer: 260946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -628? (a) -1 (b) 1 (c) 536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 12\/10 + -3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-1)\/((-2)\/(-4)). Let l(g) = -5*g + 2. Let s(u) = -5 + 1 - 2*u + 11*u. What is o*s(f) - 7*l(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/4 - 1\/4. Let t be g\/(4\/16 - 0). Let f = 12 - t. Calculate the lowest common multiple of f and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 6 = 18, -2*y - 26 = 5*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 3*n)*(4*n + 3*n - 6*n) - n**2 + 2*n**2 - 3*n**2 + 2*n - 2*n + 3*n**2)*(n + 0*n - 4*n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 times 318?\nAnswer: -47.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11531086 divided by -5?\nAnswer: -11531086\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -4*y - 2*p, 0 = 2*y + 4*p + 14. Suppose 5*t = 6 + 19. Suppose -z + 11 = -3*k, 4*z - 6 = -t*k + 4. Sort z, 0, y in increasing order.\nAnswer: y, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 - p**2 + p**2. Let f(v) = 5*v - 2*v + 31423 - 31423. Calculate f(g(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-464)\/24*4\/(20\/(-3615)).\nAnswer: 2, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(3993) + sqrt(3993))\/(1*sqrt(3)*1) + (sqrt(7920) - (sqrt(7920) + -3*sqrt(7920)))\/(sqrt(5) + (sqrt(5) + sqrt(30)\/sqrt(6))*3).\nAnswer: 267*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-55) + (-3)\/(-15)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**3 - 3406*i**2*l + 3*i*l - 155*i - 5*l - 4 wrt i.\nAnswer: 60*i - 6812*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, b: 7, y: 6}. Give prob of sequence by.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 15 - 11. Let n be -4 + (-4 - -6 - y). Let f be 20*2\/16 - n\/(-2). Is 3\/46 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27362620 - -0.31?\nAnswer: 27362620.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 0.5 (c) -7 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/36*456\/(-23940).\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 15. Let c(z) = 2 + 0 + 6 + 5*z. Let g = 3 - 9. What is g*k(n) - 11*c(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-7)*1396\/12. Let z = -100 + v. Do 1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 69*h**2 - 3*h - 1. Let m(b) = -206*b**2 + 10*b + 5. Give -2*m(a) - 7*p(a).\nAnswer: -71*a**2 + a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = w - 5*x, 0 = 4*w - 5*x - 21 - 16. Suppose -b + 1 = -4*p + 14, -4*b + w = 4*p. Solve -p*o + 1 = -5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17887, -71676, -161347, -286882, -448263, -645472, -878491?\n\"Answer: 3*l**3 - 17959*l**2 + 67*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b5e + 1?\nAnswer: 1b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 50*b**2 + 1280*b + 10. What is u(-26)?\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285857, -571833, -857809?\nAnswer: -1143785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*s*u**2 + 6228586*s + 103701*u**2 wrt u.\nAnswer: 22*s*u + 207402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 13*p**2 - 89*p - 11. Determine k(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.19 or 520?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.58669 + 0.11331. What is the third biggest value in x, 0, -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*v**3 + 2 - 74*v**3 - v - 3*v - 17 to the form d*v**2 + r*v**3 + t*v + w and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 - -161. Suppose -3*q - j = t, 4*q = 6*j - 2*j + 4. Let f(k) = -4*k - 2. Let n(g) = -g. What is q*n(m) + f(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -6.21897\nAnswer: 31.78103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*d**5 - 34*d**4 - 10488*d**3 + 145984*d**2 - 35840*d = 0. What is d?\nAnswer: -40, 0, 1\/4, 16, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -99, -441, -1011, -1809, -2835, -4089?\n\"Answer: -114*y**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/5 - 1512*s\/5 - 5888 = 0 for s.\nAnswer: -736, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -182, -181, -180, -179?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225527 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 + 220*s**4 + 3140*s**3 + 14230*s**2 - 3145*s - 14450 = 0 for s.\nAnswer: -17, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -9*x**6\/160 + x**5\/4 - x**4\/8 + 15*x**2\/2 + 10. Let g(m) be the second derivative of h(m). Solve g(f) = 0 for f.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2\/4 - 12955*t\/4 + 658525\/2 = 0.\nAnswer: 106, 2485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/2))**(-14))**(-12\/5))**(-2) assuming y is positive.\nAnswer: y**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137\/1008 - -1\/144. Let b = -0.4 - -0.5. Sort h, b, 1\/5, -5 in descending order.\nAnswer: 1\/5, h, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)\/j**(1\/7)*j**(2\/7)\/(j\/(j*j**(1\/6)))*j\/(j**6*j)*j**(-1\/5)*j**(-4\/11)\/j**0 assuming j is positive.\nAnswer: j**(-19067\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.5 - -14.5. Which is the closest to -5? (a) j (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006337 rounded to 7 dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16203674 or -16203675?\nAnswer: -16203675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -934 divided by 6\nAnswer: -467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4830 + -4830. Let i(o) = o - 39. Determine i(d).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -23782400 to the nearest ten thousand.\nAnswer: -23780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + (sqrt(325)*1*4 - (1 + (1*sqrt(325))**2)) + 2 + -3.\nAnswer: -334 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b. Let u(n) = -3*n. Give -u(j) + 4*x(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-286)\/(-39) - ((-1)\/(-9))\/(1\/3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:27 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13485.489 - 10.511. Let k = 13407.71 + t. Let r = k + 89. Round r to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 226*v - 13. Let i(r) = -116*r + 2. Calculate i(o(h)).\nAnswer: -26216*h + 1510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -49. What is the common denominator of -35\/2 and 4\/(-6)*(-906)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -19. Let d = -125.00000053 + j. Round d to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7 = -u - 2*j, -4*u + 2*j = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/300283 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1541 divide 319331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/9 - ((-670)\/6)\/(-67).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = i - 2*i - 6, z - 8 = 3*i. Suppose -5*g + z*g - 15 = 0. Let t(n) = 3*n**2 + n + 11. What is the tens digit of t(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**4 - 20*j**2 + 10*j**4 - 5*j**4.\nAnswer: 5*j**2*(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t - 1. Let v(q) be the second derivative of -23*q**3\/6 - 3*q**2\/2 - 213*q + 5. Calculate 22*j(m) - 6*v(m).\nAnswer: 6*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 603*h - 2593. What are the prime factors of g(44)?\nAnswer: 37, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/4 + 47*f**2\/4 + 45*f\/2 = 0. Calculate f.\nAnswer: -45, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(325)*3*2 + 1)*1)**2.\nAnswer: 960*sqrt(13) + 187216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55892370133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 430\/2408*4\/(-20).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 11476158*o**2 - 10975206489027*o - 43900642337772.\nAnswer: -3*(o + 4)*(o + 1912691)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 4. Let q be o(5). Let w(h) = 6*h**3 - h**2 + h - 1. Let k be w(q). Differentiate 6 + 74*x**3 - k*x**4 - 74*x**3 with respect to x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3322 - -2374. Suppose 19*z - 17495 + g = 0. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*m, -10 = -2*q + 3*m - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13)*-2 + -1 - (sqrt(208) + -3)))**2.\nAnswer: -600*sqrt(13) + 11800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/5 - 2*p**3 + 17*p**2\/5 - 8*p\/5.\nAnswer: p*(p - 8)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let c(s) = 4*s**2 - 2*s - 9. Let m(p) = c(p) - 6*h(p). Give m(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8679676?\nAnswer: 2, 653, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 - 1718822*q**2\/5 - 12031656*q\/5.\nAnswer: -2*q*(q + 7)*(q + 859404)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -5\/24*u**4 - 1\/24*u**6 - 1\/6*u**5 + 0*u**3 + 0*u + 25\/2*u**2 - 15. Let y(m) be the second derivative of g(m). Factor y(z).\nAnswer: -5*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 34*d = -27*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.882927 meters in nanometers?\nAnswer: 4882927000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 - 17*a - 17. Let l be m(7). Let i = l + 483. What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23025 (base 6) to base 16.\nAnswer: -cb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 x, and 1 f when four letters picked without replacement from {x: 8, l: 1, r: 2, f: 2, y: 1}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 116945166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 0.5, -1\/4, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29696*k**3 - 18553*k**2 + 2*k wrt k?\nAnswer: -178176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50127, -100254, -150381, -200508, -250635, -300762?\nAnswer: -350889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let x(z) = 131*z**2 + 3*z. Give x(p(n)).\nAnswer: 524*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 21 = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:16 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2, -16\/7, -72.\nAnswer: -72, -16\/7, -2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 13) in base 9?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3485 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 1 u when three letters picked without replacement from rllu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 50*k**2 + 50*k + 47. Determine j(-49).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/18428 and -67\/241471298.\nAnswer: 482942596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*q + 34*q + 4. Let c(r) = -r**3 + r**2 + r + 1. Calculate c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218531753?\nAnswer: 11, 17, 1168619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (0 + (3 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/((i**(2\/3)\/i)\/i))\/i*i))\/i**(-1\/5))**37*(i**(-4\/9)*i**(-3\/4))\/(i**1\/((i**(-1\/2)*i)\/i)) assuming i is positive.\nAnswer: i**(-8033\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8749973*j**2*n**4 + 2*j**2 + 2*j*n**4 - 15479071*j*n**2 wrt n?\nAnswer: 209999352*j**2*n + 48*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38 (b) 0 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 16460528*t + 16460524.\nAnswer: 4*(t - 4115131)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/2*8\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 435 + -327. Let k be 24*(-1 - 21\/(-6)). Let o be ((-12)\/(-30))\/(2\/k). What is the greatest common factor of p and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1335.\nAnswer: 667.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30\/1343 - -7908\/6715. Put -0.4, 2\/5, g, -0.02, -0.3 in increasing order.\nAnswer: -0.4, -0.3, -0.02, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327781.\nAnswer: 433, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 5 = -2*s, -3*j + 1 = -s. Let g be (-88)\/12*(-6)\/s. Let d = 23 + g. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Which is the smallest value? (a) -0.4 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 364*p - 376*p - 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, -4824, -19859, -50038, -100407?\nAnswer: -176012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -75. Let i be (-224)\/48*12\/n. Solve -2*r = i*p - 22, 4*p - 18 = -0*r + 2*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 0.4, -0.4, -3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 4*i + 28, 18*i = -4*a + 19*i + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -3 (c) 0 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120492736 divided by -8.\nAnswer: -15061592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1237.1493811 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3069 - 18545\/6. Let g = -239249\/8110 + 2\/4055. What is the common denominator of g and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 631 - 637 - (-17 + 0 + 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.58 * 20242269\nAnswer: 11740516.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7558 - d + 15123 - 7563 + 11*d**2 - d - 2*d**4 in the form n + z*d**4 + f*d**3 + p*d + m*d**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2495712.\nAnswer: 2, 3, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 15*z + 23. Let b be 7 - 6\/12*-14. Let h be f(b). Solve 5*n - 4*w = -11, 3*w + 3 + h = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.207*-88\nAnswer: -18.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 3.91. Let i be 1\/(-2) + -65*33\/(-550). What is the third smallest value in i, n, -0.4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/20 - u**4\/3 + 3*u**3 + 5*u**2\/2 - 6*u. Is s(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-3) + 52\/(-12) + 5. Let c = 1 + d. Suppose -8 = -8*z - c*z. Solve 1 = x - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*1*sqrt(108) + -4 + sqrt(108)*-1 + sqrt(108)) + ((sqrt(144)*3)\/sqrt(4))\/(sqrt(12) + (sqrt(1452) + sqrt(1452) + -1*sqrt(1452) - sqrt(1452))))**2.\nAnswer: 1872*sqrt(3) + 5139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/((-141)\/705).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -10\/99269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.312989 kilometers in meters?\nAnswer: 8312.989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2 - 4*z - 1 - 9*z + 7*z. Calculate v(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5 + 7*z - 8*z + 0*z. Let f be o(-6). Is 3\/11 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 77, 111, 125, 113, 69?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 0.0611?\nAnswer: -0.1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = m - 0*r, -5*r + 5 = 3*m. Suppose 0 = m*t - 5*t - 15. Differentiate -7*u**3 + 11*u**t - 6*u**3 - 7 with respect to u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2 + 27\/15). Is (-5)\/s + 202\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342\/5591 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 4. Suppose -2 = 3*r - k + 2, 16 = 5*r + 4*k. Let g be q(r). Suppose 0 = g*w + w. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1787635, -3575271, -5362907, -7150543?\nAnswer: -8938179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(-171)*-3*-6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*9\/54 - (-3)\/2. Factor 3*l**4 - 4*l**2 - 2*l**q - 5*l**4 + 20*l + 8*l**4 - 20*l**3.\nAnswer: 4*l*(l - 5)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -12, -2*b + 19 = 4*i + 27. Let q(m) = -3*m**2 - 8*m + 4. Let s(p) = 2*p**2 + 5*p - 3. Let r(u) = 5*q(u) + 8*s(u). Determine r(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10311022112 (base 4) to base 5.\nAnswer: -311010301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + 1 - -5) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -123*m**2 + 14*m + 6. Let v(f) = 41*f**2 - 5*f - 2. Give -3*l(r) - 8*v(r).\nAnswer: 41*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(242)*-3)**2.\nAnswer: 132*sqrt(2) + 2182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x + 5. Let y be p(0). Let k = y + -2. Suppose 0 = 5*u + 2*l - k*l - 7, 0 = 4*l - 12. What is the highest common factor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037507 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/29))**(2\/35) assuming z is positive.\nAnswer: z**(4\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/12 - 2*i**2 - 5*i. Let b(r) be the first derivative of j(r). Let m(z) = z + 2*z - z. Give b(m(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(32)*-5).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.42 - -330.77. Let i = -283.65001 + c. Let o = i + 0.3. What is o rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/527 + (-942)\/(-186) - 18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + i + 1. Suppose 0 = q + 3*q + 16. Let j be g(q). Solve 0 = 3*x - 0*x - 15, -3*h = 4*x - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-37)\/18 + 95\/38)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 2*w**3\/21 - 20*w**2\/7 - 219. Factor x(p).\nAnswer: 2*p*(p - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/1471?\nAnswer: -8\/1471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 681, 1087, 1499, 1917?\n\"Answer: 3*j**2 + 397*j + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:02 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -9*q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.00586? (a) -5 (b) -1 (c) -1\/4 (d) 3\/8 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c0 + -758?\nAnswer: d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12154 + 24815. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r. Suppose -5*x + 7 = n, 4*n - 5*x + 1 = 2*n. Suppose 0 = 7*l - n*l. Let f(d) = 5*d + l*d - 3*d - 3*d. Calculate f(z(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 33. Calculate the greatest common divisor of d and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13201 + -13179. Solve 4*t + y*v = 25*v + 11, 2*t + v = 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486994 is divided by 942.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/5 - 2998*a - 254541\/5 = 0.\nAnswer: -14973, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (-4 + 22 - (6 + 14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220399 to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5648297 to the power of 1\/2, to the nearest integer?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 421283.5 minutes?\nAnswer: 25277010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2537 and 1770.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let s(l) = -l**3 + l**2 - l. Let k be 2\/9 - (-21)\/27. Give k*a(p) - s(p).\nAnswer: p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 30*o + 48. Is s(6) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88696392 at most as big as 88696391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l + 5 - 5)*(2 + 0 + 0) - 29*l - 10*l + 8*l)*(-l - 4*l + 6*l).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + (11 - -4) - (-370 + 3) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.141 + 0.041. Let h = 7\/92 - -4\/23. Which is the nearest to 0.2? (a) y (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.5. Let l = 5164 - 5165. What is the second biggest value in l, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15130, -30280, -45422, -60550, -75658, -90740?\nAnswer: -105790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 59\/236*(-11 + -25).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99) + sqrt(11))**2 + sqrt(132)\/(sqrt(60)\/sqrt(5)).\nAnswer: sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -0.093938365.\nAnswer: -0.593938365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 4:01 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33.21 - -33. Let p = 0.2073 + q. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, 1 w, and 1 n when four letters picked without replacement from {h: 2, w: 1, f: 2, m: 12, j: 1, n: 2}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b66c03 - 2?\nAnswer: 6b66c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5980?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 15*u - 9*u. Let w be (1*-1 + u)*1119\/(-6). Suppose 5*o - w = 127. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, e: 2, d: 9, g: 4}. Give prob of picking 3 d.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 18624?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/31 and 19\/3?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114170.8 rounded to the nearest ten thousand?\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, d: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let d = 0.22 + -5.22. Let k be (2 - 0) + (-8)\/6. Which is the closest to 1? (a) k (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (18\/4 - (-35)\/(-10)) - -31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527988132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3)**(-9\/4)\/(k**7\/k)**18 assuming k is positive.\nAnswer: k**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38694 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-56)*(-32)\/(-24).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -130\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7071 and 0.3844.\nAnswer: -7070.6156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*z + 56. What is the units digit of z\/(-4) - 1\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2838.479 centuries to months.\nAnswer: 3406174.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 4*a**3 + 2*a**3 - 2*a**3 - a**3 + 4*a**3 + (7*a**2 - 2*a**2 - 3*a**2)*(3*a - 2*a + a) - 68*a**3 - 72*a**3 - 10*a**3.\nAnswer: -142*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132528 is divided by 26374?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - 57*f**2 + 29*f - 18. What is u(28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/4 of a milligram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**7\/210 + 959*v**6\/120 + 5147*v**5\/30 - 691*v**2. Find the third derivative of o(n) wrt n.\nAnswer: 24*n + 5754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -1\/4 (c) -0.6 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 + b)*(3*b**3 + 2*b**2 + b**3 - 2*b**3 + (2*b - 3*b + 4*b)*(b**2 + b - b) + b**3 - 5*b**3 + 2*b**3).\nAnswer: 3*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 283845, 1135423, 2554721, 4541739, 7096477, 10218935?\n\"Answer: 283860*i**2 - 2*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(64)\/(sqrt(16)\/sqrt(2)) - (sqrt(2) + (1*sqrt(6))\/sqrt(3) + 2))**2 + -3)*6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -41*n**4\/6 - 49*n**3\/6 + 51*n - 42. Let m(o) be the first derivative of p(o). What is the second derivative of m(r) wrt r?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 3*j + 9*j - 2*j**2 - 27 as u*j**2 + z + h*j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1124503 divided by 8\nAnswer: 1124503\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -812, -811, -810, -809, -808?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 + 9498*g**2\/5 + 1901*g - 56994\/5.\nAnswer: -(g - 9499)*(g - 2)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 2 (c) 5\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 949206 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1879 - 1890. Is -10 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39794 - -80901. Is z a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117118 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83 + -2?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3184664187 + 3184719478.00044. Let j = w - 55296. Let o = j + 5. What is o rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c + 0 + 0)*(16*c**2 + 1 - 11*c**2 + 0) in the form l + r*c**2 + u*c**3 + w*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8523*g = -8519*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -24. Suppose -7*f + 5*m = -2*f + 20, -3*f - 3*m = -l. Suppose 0 = -3*q - 5*t + 27, 0 = 3*q + 2*q + 5*t - 35. Solve z + q = -f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-117) + 3\/(-9). Which is smaller: -2\/3 or q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 9928 = -14*l - j, 3306 = l + 2*j. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -54. Let n = i + -16. What is the closest to 2\/5 in n, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Let x(k) = -k**3 + 14. Let i be x(0). Suppose -5*g - w + 0*w + 13 = 0, r*g - i = w. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - s)*(-2*s - 2*s + 6*s + 5 - 5 + 2*s + (-2*s + 3*s - 2*s)*(-4 + 0 + 2) + 10*s - 12*s - 22*s + (-1 - s + 1)*(2 - 4 + 0)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 7*m + 1. Let p(w) = -3*w**2 + 15*w + 2. Let f(o) = 2*p(o) - 5*v(o). Let c(g) = -g**2 - 4*g - 5 + 4 + 0*g**2. What is 4*c(x) - 3*f(x)?\nAnswer: -x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16775060?\nAnswer: 2, 5, 37, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55340939 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhvhhhhnvhn. Give prob of sequence nvh.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14263, -14443, -14937, -15901, -17491, -19863, -23173?\n\"Answer: -26*s**3 - s**2 + 5*s - 14241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -193*b**2. Let s(d) = -11*d + 16. Determine o(s(n)).\nAnswer: -23353*n**2 + 67936*n - 49408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and 1172767353.\nAnswer: 1172767372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(121) - sqrt(121)*2) + sqrt(121)) + -2*sqrt(121)*-1)\/((2*-2*sqrt(132))\/(sqrt(48)\/sqrt(4)*-2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13846 and 15824.\nAnswer: 110768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 4*h + 1. Let j be u(-3). Let s be (-2)\/(-6)*(1 + -10). What is the remainder when s\/(j + -1)*17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3464 + 3459. What is the closest to 1 in 0.09, x, -1\/7, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187991179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let z = -30.939 + -0.061. Let x = z + 31.2. Which is the nearest to h? (a) 1\/4 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*j, -5*j = -5*u - j - 0*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(52) + sqrt(13) + -5)*-5*-4.\nAnswer: -180 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0037 + -0.003156. What is p rounded to 5 decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 582.7999989268 - 582.8. What is p rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**4\/11 - 52*v**3\/11 - 42*v**2 - 72*v\/11 + 216 = 0.\nAnswer: -6, -3, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41220 and 1410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -231550522 (base 6) to base 3\nAnswer: -22002000111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59146481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 13) to base 6.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edbdddbedcdtede. Give prob of picking 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 1, w: 3}. Give prob of sequence gv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 - 63 - 137 + 58 - 126)*(-8*m**2 + 9*m - 14*m - 18*m) as p*m + b*m**2 + y and give p.\nAnswer: 6900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*c, 3*c = 4*z - c - 24. Let y(i) = -i + 9. Let j be y(z). Let d(l) be the third derivative of l**4\/8 + 2*l**2. Calculate d(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102236*q**3 - 2*q*y - 94719*y wrt q.\nAnswer: -306708*q**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 28, 8158, -369 in ascending order.\nAnswer: -369, 0, 3, 28, 8158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 11*b**3\/3 - 3*b**2 + 507*b + 953. Differentiate n(o) wrt o.\nAnswer: 22*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + b = -5, -2*b = -3*r - 0*r + 10. Suppose p = -r + 4. Solve 12 = -p*j - i, 0 = 4*j - j - 5*i + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*3.4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(20\/(-4) - -3)*10. What is the lowest common multiple of (-44)\/u*10\/(-4) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and 3.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-47)\/517)\/(12\/(-33)))\/(1\/(-44))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 377 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 2 in decreasing order.\nAnswer: 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:28 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2282 - -2290. Calculate the lowest common multiple of u and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 7\/3 (c) 37\/6 (d) 3 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 2)\/((-1)\/(-2)). Suppose h*g + 13 = -0*g + d, 3 = 3*d. Let i = -3 - g. Solve -i*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 245\/282 (b) 3\/2 (c) 111\/8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13540072 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -758158\/99 + 7659. Let p = 5398\/11 + -490. Let g = p - s. Which is the second smallest value? (a) g (b) -2\/11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/(-1950) + (12512\/(-624) - -20).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/5443104 and 91\/72?\nAnswer: 16329312","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(2\/3). Let c be (-6)\/(-42)*(3\/4 + i). Factor 0*t + 0 + 1\/4*t**4 + c*t**3 + 0*t**2.\nAnswer: t**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276587 (base 11) in base 7?\nAnswer: 3453123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = x - 7*u - 9, -3*u = 10*x - 62. Solve -x*q + 3*m + 16 = 0, -5*q + 9*q - 2*m = 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (5 - 16\/3)*3. Let z be (-6)\/5 - (1 - 2). Are a and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/57 > -8\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 + 9. Let z(a) = -204*a**3 + a**2 + 4*a + 2. Let w be z(-1). Suppose 0*q = -7*q + w. What is the remainder when q is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 7. Let x be i(-3). Let a = -3 - -9. Let o be (2\/3)\/(a\/27). Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300337.\nAnswer: 233, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o\/o**(-1\/4))\/o))\/o**(4\/3))\/(o**41\/o*o)**(1\/9) assuming o is positive.\nAnswer: o**(-149\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)\/(w*w\/((w**2\/w)\/w*w))*(w**18*w)\/w**(-3\/2))**23 assuming w is positive.\nAnswer: w**(4669\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/33796 and 15\/2414.\nAnswer: 33796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4760 - 608. Let d be 6\/3 + (-8698)\/g. Let f = d - -2\/173. What is the common denominator of 43\/7 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, g: 3}. What is prob of sequence igii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 15 = 6*j + 1 - 9, 5*j = -x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a day?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 8*c**2 - 9*c + 7. Let y be n(-5). Suppose -3 = y*f - 33. Calculate the highest common factor of 255 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -9. Let s = t - 35. Let u be (53\/51 - 1)*-3. Which is the smallest value? (a) u (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 2. Let d be b(-3). Solve 5*f - d*f - 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g\/((g*g**(-6))\/g)*(g\/g**(2\/7))\/g**(-5))**(10\/11) assuming g is positive.\nAnswer: g**(540\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13206, -16845, -20484, -24123, -27762?\nAnswer: -31401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407967?\nAnswer: 3, 7, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 8*n**2 - 7*n. Let g be v(7). Let p be (1 + -1)*8\/(-8). Suppose -k + p*k + 3 = g. Solve 5*b = m + 24, -5 = b + k*m - 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxi when three letters picked without replacement from qivoixoq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215653?\nAnswer: 7, 23, 19973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2234 - 389 - 9003*v + 7456 wrt v?\nAnswer: -9003","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v + 297. Let y(i) = -90*i - 2020. Let o(k) = -34*d(k) - 5*y(k). What is o(9)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 76377?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 63 = 4*k, 3*k + 27 = 2*k - 4*v. Let u = k + 21. Let p = u - -22. Solve 3*m - 1 = -4*t, -4*m + 4*t = 2*t + p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.06 - 0.06. Let h = -28 + x. Let y = h + -15. Is y less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from gooooooogggg?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -0.01, 0.3, -2\/7, 1\/4, 618?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34479486, 68958968, 103438450?\n\"Answer: 34479482*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*a - 380 - 359 + 739 - 2*a**2 - 123*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2373*w + 2377*w = 12444, s - 3120 = -4*w. Calculate the smallest common multiple of s and 18.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 1. Let a be n(-1). Suppose a = -m + 2*h - 1 - 5, 0 = m + 5*h - 15. Let f(d) = d**3 + d**2 + d - 7. What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 4*t - 8. Suppose -2*b - 28 = -y - 11, 4*b - y = -29. Let l be n(b). Solve 2*o = 2*m - l, -5*o + 3*o + 3*m = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o**3 + 42 + 70 - 152 + 40.\nAnswer: -65*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 44. Let x = k - -26. Solve -x = -2*r + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y - 4*d - 60, -2*y + 4*d = -24. What is the common denominator of 67\/12 and (2\/y)\/(110\/(-685))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1395 and 1333.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36426488?\nAnswer: 2, 7, 31, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 250730779915 + 0.631?\nAnswer: 250730779915.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + v**3 + 1)*((2 - 3 - 1)*(1 - 1 + 1) + 4 - 3 - 3 - 5 + 5 - 3 - 2 - 14 + 3) to a*v + q*v**3 + c*v**2 + l and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 9 - (-2)\/(-8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 46.7, 2\/3, 0 in increasing order.\nAnswer: -2\/3, 0, 2\/3, 46.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 195 + 171. Which is smaller: b or -361\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -15189963907799?\nAnswer: -15189963907793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283970?\nAnswer: 2, 5, 73, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 1. Let c be 9\/(-7) - 8\/(-28). Let n be u(c). Let x be -1 - 3*1\/n. Are x and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 465\/10714 + 1\/487. Let v be ((-6)\/4 - -2)*-2. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s - 36 + 96 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3467*k*o**3 - 10*k*o**2*v - 2*k*o**2 - 2*k*o*v**3 - 2*k*q*v**3 - o**3*q - 2*o**3*v**3 - o**3 - 2*o**2*q*v**2 wrt o.\nAnswer: 20802*k - 6*q - 12*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let a(i) = -5*i - 2. Calculate a(x) + 2*s(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 - 416 = 3*x. Put -1, x, 1 in descending order.\nAnswer: 1, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 10:54 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -4)\/(-4) + (-5 - (-42)\/12). Sort -19, 69, l in ascending order.\nAnswer: -19, l, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*f - f - 26 = 0, -3*f - 10 = 5*i. Let d(h) be the first derivative of h**2 + 1\/3*h**3 + i - h. Give d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.75 * -5191\nAnswer: -19466.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*c + 3*g, c + 3*g = -g - 16. Solve 0 = 4*h - c*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2339, 17\/21, -1\/7, -5?\nAnswer: 17\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 5, x: 7, n: 3}. Give prob of picking 3 x and 1 n.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o - 74*o - 46 = 0. Calculate the remainder when o is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 1766*f - 7091. Calculate p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 + 0*c**2 + c**2 - 20*c**3 - 27*c**3.\nAnswer: -32*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/14)\/((-13)\/819*9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q + 15 = 51*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**2))\/(k\/(((k\/(k*(k*k\/(k**(-2\/13)*k))\/k))\/k)\/k))*(k\/k**(-2\/3))\/(((k**(1\/29)*k)\/k)\/k))**(-1\/2) assuming k is positive.\nAnswer: k**(-836\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 801063*f**3*w**4 + 2221*f**3*w + 232*f*w - 2*f + 2*w**4 wrt w?\nAnswer: 9612756*f**3*w**2 + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(55)\/sqrt(5) + -2 + 5 + 6*sqrt(704)*-2 + -2.\nAnswer: -94*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 - -4. Let z = p - 0. Let j = z + -1.4. Which is the closest to j? (a) 3 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 4, 2\/11, -2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*k + 10 = -6*y, 3*y + 4*k = -25. Let q(j) = -j - 1. What is the remainder when 11 is divided by q(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 325 + 5320500?\nAnswer: 5321225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 18*y**3 + 454*y + 2*y**2 - 906*y + 432*y.\nAnswer: 17*y**3 + 2*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 81*z - 84.\nAnswer: 3*(z - 1)*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 3030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 6. Let t be u(-5). Let s = -19 - t. Let l(m) be the first derivative of -m**4\/4 + m**3\/3 + m**2\/2 + 11*m - 2. What is l(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + -1.8. What is the second biggest value in -3\/4, -5\/4, 1.3, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2. Let j(m) = 2*m. Let h(y) = -2*y. Let c(a) = 5*h(a) + 6*j(a). What is s(c(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, 625, 2 in decreasing order.\nAnswer: 625, 15, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 3*h - 5. Let x be j(-3). Let i = 37 + x. Suppose -i*a = -82 - 173. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, 1 m, and 1 w when four letters picked without replacement from {w: 5, n: 5, m: 1, s: 1, l: 7}?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 2*g - 33 = 0. Suppose 0 = -g*t + 413 + 352. What is the greatest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 12\/18)\/(4\/30). Suppose 0 = 2*n + o - 46, -o = 5*n + 2*o - 113. Suppose 0 = 5*j - 4*s - n, j = -2*s - 1 + 6. Is j bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-57)*6\/(-4). Let r = -3.04 + 2.64. Put -0.5, s, r in decreasing order.\nAnswer: s, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*d**3*o**4 - d**3 - 6078620*d**2*o**2 - 4063*d*o**4 wrt o?\nAnswer: -1680*d**3*o - 97512*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -248 - -353 - ((-24 - -11) + 45)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -249*p + 249*p - 7 - 2*p**2 - 29 - 6*p**3 wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 54\/(-26)) + 0)\/(34233\/23586537).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 406133 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 divided by 6?\nAnswer: -179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z + 0*z)*(134*z + 383*z + 238*z) - 11*z**2 + 249*z - 249*z to the form x*z + h*z**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*(-6)\/4. Let o be (4 - 2)\/(2 + s). Solve 4 - o = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5610*s = -5455*s + 1240 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1032?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*m**4 - 4)*(2 - 1 + 0)*(2 - 3 - 1)*(2 - 5 - 8).\nAnswer: -44*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpp when three letters picked without replacement from {p: 10, w: 7, b: 1, k: 2}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.07 - 0.07. Let f = -8 + u. Is f greater than or equal to 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (-6 + 3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 1332.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**11)**(2\/59)*o**(-2\/35)*((o*o**8)\/o)\/o assuming o is positive.\nAnswer: o**(13637\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 5*t - 28. Let b be s(9). Solve x = 5*x + b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 - 506*s + 1091. Let r be q(99). Find n, given that -48\/7 + 18\/7*n + 3\/7*n**r = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 5*o + 15, -7*o = 4*n - 8*o - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -48*y + 11. Let x be r(22). Let l = 375 + x. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 3*g**2 - 3*g**2 + (-324*g - 2122*g - 2050*g)*(-4 - 3*g + 4) to j + y*g + p*g**2 and give p.\nAnswer: 13490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k**2 + 9*k - 3. What is the remainder when z(2) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**3 - d**2 + d + 5. Let u be z(5). Let j be (-6)\/10 + (-1074)\/u. Let a = j - -4127\/1020. What is the common denominator of a and 119\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1454? (a) -1\/5 (b) 5 (c) -0.5 (d) -4 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309866 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 18 - 15)*(-2*h**3 - 3*h**3 - 2*h**3) + (6*h - 3*h - h)*(2*h**2 + 2 - 2).\nAnswer: 340*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7502 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**6 - 17*x**3 - 2214*x**2.\nAnswer: -720*x**3 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 5 - 3*y - 2*y + 4*y. Let t(x) = 20*x - 32. Let o(c) = 32*i(c) - 5*t(c). Let r(h) = h. Calculate r(o(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(384) - (((sqrt(384) - sqrt(384)*2) + sqrt(384) + sqrt(384))*5 - sqrt(384)) - sqrt(384)))\/((sqrt(84) + sqrt(84)*2*-6)\/sqrt(7)) + -5.\nAnswer: -5 - 16*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1015 = k, -5280*d + 5275*d = 4*k - 2492. Calculate the greatest common divisor of 840 and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 + 4702*s**5 - 4704*s**5 + 8*s**4 + 2*s**2 - 10*s**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/180*5\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 14. What is y(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3.1, -1\/5, 2, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1576, 1570, 1562, 1552?\n\"Answer: -q**2 - 3*q + 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*l - 4. Let n(k) = -17*k + 5. Let u(t) = 6*t - 2. Determine l*n(a) + 11*u(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30031110 - -100?\nAnswer: 30031210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47023 * 427.5.\nAnswer: -20102332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*r = 7 - 19, 0 = 3*n - 2*r - 18. Let f(h) = -h**3 + 7*h**2 - h - 8. Let x be f(n). Let l = -31 + 36. Solve x = -l*o - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 - -2. Let c = d + 0.7. What is the second smallest value in -1\/8, -2, c, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*((-1*sqrt(216) + sqrt(216))*4)\/(-2*-1*-1*sqrt(2)) + -5).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 28*m**2 - m - 19. Determine n(28).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -21 + 234*v**3 - 81*v**2 - 3 - 219*v**3 + 90*v = 0.\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 4:34 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + (152 - 30) - 61?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59377, -118793, -178209, -237625?\nAnswer: -297041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((114\/57)\/(1\/(-23)))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 + 2*q - 2. Let j be g(4). Let v(i) = i**2 + 25*i + 28. Let b be v(j). Let x = -3 - b. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7 + a - 11 + 0. Determine w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v. Let t(d) = -d**3 - 3*d**2 + 6*d + 18. Let j be t(-4). Let k(o) = -577 + 50*o + 578 - j*o. Determine k(h(p)).\nAnswer: -40*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1087 = -3*u. Let d = -568 - u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + f + 3)*(-3*f + f + f)*(-3*f + 156 - 156) in the form a + n*f**2 + i*f + o*f**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 167. Let r be g(0). Let z = r + -113. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p + 47*p - 84 = -54*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/((-13)\/(19708\/(-8))). Suppose -5*s - 2413 = -c. What is the least common multiple of s and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*x - 73 = 439*x + q, -2*q - 222 = 3*x for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 26*u - 141. Let p be l(-5). Does 41 divide (-2 - -1)\/((p\/(-1558))\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -439\/5 - -1541\/20. Calculate the common denominator of (-1)\/(3 - 172\/60) + -4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10227630 divided by -3.\nAnswer: 3409210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39312943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1164427*y**4 + 341*y**2 + 4911 wrt y.\nAnswer: -27946248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -5304.4.\nAnswer: -5308.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.2 (b) -2\/25 (c) -7\/239 (d) 12 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 + 29 = -w, -5*g = -4*w - 108. Is 11 a factor of (-20)\/270 + (-14258)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 2. Let r be i(2). Let n = -233956 + 2105593\/9. Which is smaller: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183267 divided by -3\nAnswer: -61089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/365996848 and 55\/3192.\nAnswer: 1097990544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112370669*b**5 + 48560942*b + 1 wrt b?\nAnswer: -2247413380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 51*d - 7 = -2*u, -3*d = -3*u - 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 338*l**3\/3 - 598*l**2\/3 - 748*l\/3 + 336 = 0?\nAnswer: -18\/13, 1, 28\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3357 times -4540\nAnswer: -15240780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97611533 to the nearest integer?\nAnswer: 9880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-76)\/12) + 4\/(-12). Suppose -66 - 34*a - 49*a + 20*a - 12*a**i + 15*a**2 = 0. What is a?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28235 divided by 5647\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - 11 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 + -202. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z = 6*z + 99 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20291807561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c - 3. Suppose c*l + 57 = 2*l + 2*r, 0 = -5*l - 5*r - 300. Let y = 68 + l. Calculate the greatest common factor of y and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*x**2 - 49*x**2 - 3*x**4 + x**2 + 32*x - 5*x**3 to the form j*x + g*x**2 + i*x**3 + c + n*x**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -734, 6, -41, 3, 4 in decreasing order.\nAnswer: 6, 4, 3, 2, -41, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118712.\nAnswer: 2, 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 120. Suppose 4*p - w = 6. Solve -3*x - m + p = 0, -3*x = 2*m - 8 - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - p**2 - 2*p + 7*p**3 + 24 + 22 in the form a*p**3 + w*p**2 + b*p + o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-3)\/(-108)*3663\/(-22)*2.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2.2 (b) 573 (c) 2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, o: 4, z: 4}. Give prob of picking 2 o and 1 d.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 8*m - 3*m to f + n*m and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14028 - 14028.1. Which is the smallest value? (a) 1\/4 (b) 129 (c) t (d) -0.7 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:39 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15100.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let i = -5 - m. Let c(k) = -k**3 - 2*k**2 + 3. Let w(x) = -204*x**3 - 817 + 824 + 202*x**3 - 5*x**2. What is i*c(l) + 3*w(l)?\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 36*o + 12. Let t = 11 - 16. Let p = t - o. Which is the biggest value? (a) 4 (b) p (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**7\/70 + h**3\/2 - h**2\/2 - h. Let s(i) be the first derivative of y(i). What is the first derivative of s(r) wrt r?\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from xfgfxkgxxfxx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 51. Calculate the remainder when 60 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 302.27\nAnswer: 4231.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**6\/150 + p**5\/10 + p**4\/20 - 21*p**3\/5 - 3240*p. Solve i(w) = 0.\nAnswer: -7, -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42357462*j - 8931372 with respect to j.\nAnswer: 42357462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1142)\/3*-2*66\/11.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5\/3 + 20*v**4\/3 + 8*v**3 - 8*v**2\/3 - 28*v\/3 - 4 = 0. Calculate v.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7.7, 3, 2\/4011, 3\/10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -83. Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.13 + -0.13. Let x = 98 - 96. Which is the third biggest value? (a) f (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -12*m + 176. Let u(g) = 16*g - 179. Let s be u(m). Let r = 4.5 + 0.5. Which is the fourth biggest value? (a) 0.5 (b) r (c) s (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02157, -3, 171 in increasing order.\nAnswer: -3, -0.02157, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -57. What is the remainder when c is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402345 at most as big as 1402343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 3947 + 10928 = 0. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, 8\/37, 5 in ascending order.\nAnswer: -1\/2, 8\/37, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869263 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9331 - 3881. List the prime factors of t.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7904, -30229 in descending order.\nAnswer: -4, -7904, -30229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 28 = 159. Suppose 3*h + g = -g + u, -g + 62 = h. Calculate the remainder when h is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 3*h + 4*h)*(1 - 2 + 2 + 2 - 3 + 0 + (1 - 1 - 1)*(4 + 1 - 3) - 3 - 2 + 3 + 1 + 1 - 4) + (-3*h + 0*h + h)*(-3 + 7 + 0) to c*h + b and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/2 + 161*l**4\/2 - 2543*l**3\/2 - 55601*l**2\/2 + 1272*l + 27720 = 0?\nAnswer: -12, -1, 1, 33, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/12*16\/(-6). Let v be (-2)\/6*-3*g. Solve -m - v = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75\/4 - -19. Let k(n) = 2*n + 11. Let o be k(-7). Let g = 5 + o. Which is the nearest to -2\/7? (a) s (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*r - 503 = 187 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35264\/144 - (-1)\/9. Is 5 a factor of r + 18\/6 + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/456 and 9\/40?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b0 (base 16) in base 3?\nAnswer: 20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2931\/26 or -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r - t = 24, -5*r - 3*t - 62 = 0. Let j = 13 + r. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11552532 divided by -276?\nAnswer: -41857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**6\/120 + p**5\/40 - 5*p**4\/12 + p. Let b(a) be the third derivative of y(a). What is the derivative of b(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2. Let u = 126 - 121. Let x(n) = -n**2. What is u*x(r) + a(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/((-3)\/(-10))*12\/210\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 1*sqrt(704) - sqrt(704)) + sqrt(704) - sqrt(704))**2 + 2.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f + 0*f)*(1 - 1 - 2)*(-2*f**3 + 5*f**3 - 4*f**3).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r + 2*r**2 + 1\/3*r**3 - 1. Calculate d(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n + 21. Let p be u(0). Let f = -46 + 67. Calculate the highest common factor of f and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + c**2 - 2*c + c + (-2 + 4 + 0)*(5*c - c**2 - 5*c) to s*c + x*c**2 + z and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2, -1, 4, -93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9528*j**4 - 4*j**3 + j**2 + j - 52313 wrt j.\nAnswer: 38112*j**3 - 12*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(30)\/(sqrt(6) + sqrt(6)*2) - (sqrt(30)\/(-2*sqrt(150)))**2)*-5.\nAnswer: -10*sqrt(5) + 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (22 + -12) - (-8)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h + 4. Let k(n) = -11*n + 3. Determine -3*k(b) - 4*u(b).\nAnswer: -11*b - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 43\/(-4) + (9 - (-132)\/(-16)). Is (187536\/40)\/((-4)\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 9. Let l be b(13). Suppose 5*s - 26 = l. Solve s = h + h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*b + 261*b + 254*b + 3 - 1290*b + 251*b + 278*b.\nAnswer: 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48601*i**6 + 67*i**4 + 3*i**3 + 2*i**2 + 11182*i - 923 wrt i?\nAnswer: 5832120*i**3 + 1608*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjy when three letters picked without replacement from offbbdfyjyy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54327 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 435139140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3383176 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4*q**3 + 6)*(-38*q**2 + 30*q - 30*q) - 6*q**5 - 166*q + 166*q.\nAnswer: 146*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3)*(1 + 2). Let r(f) = f**3 + 2*f**2 - 3*f. Let m be r(-3). Solve -n*i + 4*i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, -20820 in decreasing order.\nAnswer: 1\/4, -1, -20820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(6*sqrt(44))**2)*-1 + (5*(6*(sqrt(1100) + 0) - sqrt(1100)) + 1)**2.\nAnswer: 500*sqrt(11) + 697010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177 - 106. Suppose 0 = -5*v + 84 + n. Suppose 2*z = -4*k - 3 + v, -z = k - 5. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let m(d) = -5*d - d + x*d**2 - 7 - 2*d - d**2. What is the units digit of m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 9*m + 5*m + (1 - 5 + 1)*(3 - 3 - 2*m) to the form s*m + g and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**(-16))\/j)\/j)\/j**(-18))\/(j**(-8)*j)**(9\/2) assuming j is positive.\nAnswer: j**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 less than or equal to -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 40*k - 396. Determine n(10).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 + 9*j + 4. Let o(u) = -2*u**2 - 2 - 8*u + 0 + 3*u. Determine -3*i(b) - 5*o(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2281*b**3*w**2 + b**3*w - 46*b**2*w**2 - 12*b*w - 2*w + 295 wrt w?\nAnswer: 4562*b**3 - 92*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - sqrt(378)\/(sqrt(45)\/sqrt(5) + sqrt(9)))\/(sqrt(150)*2) - (3*-2*sqrt(847) + -4*-2*sqrt(847)).\nAnswer: -439*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 111?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g**5 + 4*g**5 + g**5 + (g + 1 - 1)*(-8*g**4 + g - g) - 15 + 15 + g**5 + (g**2 + g - g)*(-4*g**3 + g**3 + 4*g**3).\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t - 15*t - 13*t + 1 - t - 1 - 3*t + 3*t + t + (t + 2*t - 5*t)*(-2 + 0 + 3) + 4*t + t - 4*t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose -3*j = q*j - 5*k - 65, 36 = 3*j - 2*k. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/20 + 8*p**2 - 70*p. Let s(v) = 246*v. Give s(c(n)).\nAnswer: -738*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.73147l in millilitres?\nAnswer: 16731.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*k = 438, 256 = 4*u + 5*k - 198. Suppose -5 = -18*q + 17*q. Suppose -q*m = -2*m - u. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or -3\/23?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -0.5 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 1164*o**3 - 12396*o**2 + 21316*o - 10080 = 0. Calculate o.\nAnswer: 1, 9, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-19)*-3)\/(-23)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:14 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2850 by -57.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Let i(u) = -2*u + 2. Suppose 4*w - 16 = -0. What is w*i(x) - 9*q(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31397 - 12012. What are the prime factors of s?\nAnswer: 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-43404.\nAnswer: -1736.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, -80, 2 in descending order.\nAnswer: 364, 2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 806, 1958, 3446, 5264, 7406?\n\"Answer: -n**3 + 174*n**2 + 637*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:00 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 456*y + 5. Let s be o(4). Let i = -20101\/11 + s. Let g = -65\/33 + i. Put -3\/7, g, 0 in ascending order.\nAnswer: -3\/7, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -365, -494, -629, -770?\n\"Answer: -3*o**2 - 120*o - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 19*i - 21. Calculate the remainder when 36 is divided by w(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*j**2 + 273*j**3 + 164*j**2 + 636*j**3 - 312*j**3.\nAnswer: 597*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289 + 307. Suppose 17*z = 16 + c. Let b(r) = 2*r - 6. Let f be b(4). Solve -25 = -z*w - w - 5*l, -f*w + 2*l + 6 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/45)\/((-8)\/(92 + -12))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -296 + 1336. Let d = 4161\/4 - j. Let m be 2\/4 + 10\/(-12). Sort m, 5, d, 0 in descending order.\nAnswer: 5, d, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419547 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -377 + 379. Suppose o - f*j + 7 = -0*j, o + j = 5. Solve w + 2*m = o, 0 = -5*m + 4 + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 1\/2*n**4 + 4 + 0*n**2 + 0*n**3 + 6*n. What is the first derivative of d(g) wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.04277 hours to minutes.\nAnswer: 4022.5662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h. Suppose h = 4*k - u - 7, -4*k + 0*u - 3*u = -11. Put k, -5, -2 in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, p: 1, y: 9, q: 1}. What is prob of picking 1 e and 3 y?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/15*6)\/((-22)\/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o?\nAnswer: -18*o - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**3 + 2*k**3 + 3*k - k**3)*(1 - 2 - 1 + (-3 + 2 + 3)*(-1 + 1 - 5)) to the form t*k + b*k**2 + c*k**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11 = 5*d + 9, 0 = 5*y - 25. Let v(c) = c**3 + 6*c**2 - c + 3. What is the remainder when 6\/d*(3 - 39) is divided by v(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404966 divided by -300?\nAnswer: 202483\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341883.8 tonnes to milligrams.\nAnswer: 341883800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15206*y + 7609*y + 7609*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*h**2 + 29*h**2 + 627*h**2 - 3 - 72*h**2 as s*h + r*h**2 + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265 - -176. Let q = h + 85. What is the lowest common multiple of 8 and ((-1)\/q)\/((-3)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 779 - 599. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 - 2*x**2 - 3*x + 4. Let f(g) = -19*g**3 + 8*g**2 + 13*g - 17. Let c(j) = 9*a(j) + 2*f(j). Let r(w) = -41*w - 81. Let m be r(-2). Give c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, -1\/4, -3\/167, 41, 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 2 = 10*g + 1. Put 11, g, -26 in ascending order.\nAnswer: -26, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f**2 - f + 1. Let l(p) = -4*p**3 + 5*p**2 + 7*p - 6. What is 5*c(i) + l(i)?\nAnswer: i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 8 - 28*a**2 + 33*a**2 + 0*a. Let t(c) = -5*c**2 + 4*c - 8. Let v(i) = 4*l(i) + 3*t(i). What is the derivative of v(u) wrt u?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 11*c**3\/3 - c**2 + c + 2. Let a be l(1). Suppose s + s = a. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0254 - -0.01803. Round j to 3 dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637304 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = i - 7, 0 = -2*i + 4*n - 2*n + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2\/2 - 7*q + 1. Let h = 16 + -13. Let s be y(h). Sort -5, s, 2 in decreasing order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148f (base 16) in base 2?\nAnswer: 1010010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(44) + -1 - -4*(sqrt(11) + 0)))**2 - (-2 + sqrt(1331)*1 + -2)**2)*-1.\nAnswer: -5005 + 104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 4685*c**2 - 1122775*c - 11790295.\nAnswer: -5*(c + 11)*(c + 463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 106. Let s = 54.99999898 + t. What is s rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 24*n**2 + 79*n - 53. Give u(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**2 + 5. Let p(z) = z**2 - 1. Let u(l) = 2*h(l) + 10*p(l). Let m(s) = 11*s - 10*s + 33*s. What is m(u(k))?\nAnswer: -68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(sqrt(128) + 1)**2*-4.\nAnswer: -12900 - 1600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 26*i - 128. Let a(r) = 2*r + 1. Give 10*a(d) - l(d).\nAnswer: -6*d + 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.208 from -0.441.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -241145 (base 11) in base 15?\nAnswer: -7837c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 81*d - 15. Let j(k) = 5265*k - 972. Let i(r) = -5*j(r) + 324*m(r). Let p(b) = 9*b**2. What is i(p(q))?\nAnswer: -729*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 + 172. Let a = -37 + f. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823 + 910 = 87*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4329813 * 1\nAnswer: -4329813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*68.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 1, i: 2}. Give prob of picking 2 t and 1 c.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -1 + 2 - 3 - 1 + y. Let g(k) = 2*k**2 - 1. What is g(w) + 3*o(w)?\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 12:07 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 7*l - 6. Let n be d(4). Solve 1 + 2*i**2 - n + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:28 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2635502 in -0.4, -1\/3, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/24 + 1410\/240 + 284879994. Round h to the nearest one million.\nAnswer: 285000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38009993*z**2 + 3*z - 3749569 wrt z?\nAnswer: 76019986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19)*1 + 5 + 5 + (sqrt(228)*1*-3)\/((sqrt(12) - 2*sqrt(12))*5))**2.\nAnswer: 224*sqrt(19)\/5 + 6116\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117265 - -213987. Suppose -w + 324096 = -2*g - 9346, -w = 2. Let h = g + x. What is h rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) -1\/4 (c) 9.31 (d) 0.219\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 48 = 330 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -103. Let v be (n + -2)\/(-3 + -19). Let l = -5 + 8. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/23, -2\/9, -28\/11, -16, 0?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 20 + 44 + 31.\nAnswer: -c**3 + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -4.96. Suppose 0 = -3*r - 2*l + 29, 4*l = -6370*r + 6368*r + 46. Let d = 0.3 - 0.1. Which is the nearest to 1\/3? (a) z (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 4.3. Let m = o + 0.1. Which is the nearest to -1? (a) -0.1 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 9*t - 1. Calculate the remainder when r(-3) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = 5. Suppose -2*w = h + 10, 19 = 17*w - 18*w - 4*h. Let b(c) = c**2 - 46*c - 147. Let t be b(w). Is t != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -85, -186, -327, -520?\n\"Answer: -2*s**3 - 2*s**2 - 53*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**7\/189 + 4*r**6\/135 - r**5\/30 - 2*r**4\/27 + 4*r**3\/27 + 14*r. Let j(w) = 0. Calculate w.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let h be (-4)\/10 - 16\/10. Let x be ((-1)\/h)\/(4\/16). Solve -2*q - 6 = -3*n, -2*q + g = -x*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1*2)\/(32\/8))\/(121\/(-1210)). Solve -30 = -r*a + 2*c, -4*a + 10*c = 9*c - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 488750000 to the nearest one million.\nAnswer: 489000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.89 and -21.\nAnswer: -732.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056343363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:18 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/145 + 14\/1595. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96865 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/((-819)\/2184)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*v + 125 - 33 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 5, -64, -4, 4, 0 in increasing order.\nAnswer: -64, -4, 0, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.9 + -19.\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103911322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147612\/(-1894354))\/(-26*(93\/42 - 2))?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -161?\nAnswer: 83\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.26, -26, -6?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44054.12mg?\nAnswer: 0.04405412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 10. Let w = c + 4.8. Let b be -3*((-2)\/(-6) - -1). What is the closest to 1\/2 in -2\/5, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m - 4. Let t be s(2). Let k be t - (-76)\/12 - 7709\/(-3). Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/12 - 10*c**3\/9 + 9*c**2\/2 - 6*c + 85. Factor g(d).\nAnswer: (d - 6)*(d - 3)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 35*w + 90.\nAnswer: -5*(w - 9)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h - 996 + 996)*(24 - 59 + 26 + 431*h + 11).\nAnswer: -11637*h**2 - 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 50*l + 462. Let y be s(-58). What is the smallest value in 1, -0.1, y, 1\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011 + 1111101?\nAnswer: -100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.172330654 to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 314737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49560788543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.629 + -0.119. What is s rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -119, 27, -0.351, -0.2 in decreasing order.\nAnswer: 27, -0.2, -0.351, -12, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237.021 - -236. Let r = h + 0.98. Let z = -0.0449 - r. Round z to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 721467.72642 - 0.5.\nAnswer: 721467.22642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -32. Let h be (72\/27)\/(u\/63). Let d = h + -21. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y + 9. Let m = -4 + 9. Suppose m*v - 20499991 = -y*l, -v - 20499994 = -6*v - 2*l. Round v to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q - 3*v, -q = -7*v + 11*v + 26. What is the third smallest value in q, -0.4, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1336.79969953 + -1336.7447. Let k = 0.055 - s. Round k to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 30*d - 91. Determine t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 4 + 26*n - 14 - 303*n as w*n + h and give w.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)\/((-4)\/24). Let u be (-16)\/g*(-90)\/4. Let o be u*(-2 + 1*4002). What is o rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 949454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 2*j - 2*j + 2 - 2 - 2*j + j + 0*j - 2*j + (4*j - 2*j - 3*j)*(-2 + 3 + 0) to the form d*j + x and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257646503.\nAnswer: 37, 6963419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.066, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 59951*b**3 - 239797*b**2\/4 - 7*b\/4 = 0.\nAnswer: -7\/239804, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from job.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10188, -10173, -10158, -10143, -10128, -10113?\nAnswer: -10098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 19 - (15 + -26 + 18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121 + -103. Suppose -2*b + 3*g - 10 = -3*b, 5*g = -2*b + d. What is the greatest common divisor of b and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*w + 5 = 0, -3*s - 2*w = -46 + 3. What is the greatest common divisor of 323 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1. Let z = 819 - 819. What is the nearest to k in 2, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5688\/(-1224))\/(-8*(-19)\/(-2584))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3486228 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 165686846 a multiple of 1742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 528.4948mm?\nAnswer: 528494800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 6*l + 7. Let h(p) = -p. Let f(i) = -3*i - 1. Let a(m) = -f(m) + 4*h(m). Calculate -5*a(s) + c(s).\nAnswer: -3*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 118\/(-4) - 4\/8. Let g be 6\/(-5)*x\/9. Suppose 0 = -4*d + v + 21, d + d - 2*v - 12 = 0. Solve -5*m = -g*u + 29, -21 = d*m + 2*u + 2*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2)\/(36\/1026). Sort 2, 6, c in descending order.\nAnswer: 6, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9997447 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 + -102. Let i(v) be the first derivative of -1\/14*v**4 + 0*v**2 + 4\/21*v**l + 0*v - 1. Determine q, given that i(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5022 divided by 3?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 919084151 to the nearest integer?\nAnswer: 30316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 2*s**2 + 15*s - 6. Let o = 57 - 56. Let x = o - -4. Is a(x) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152877150 and 900?\nAnswer: 305754300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-2) + 2)*(-2860)\/30. Let z(k) = -143 + m + 3*k**2. Let f(b) = 10*b**2. Give f(z(u)).\nAnswer: 90*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 35*t - 26*t. Let a(h) be the second derivative of 0*h**3 + h + 7\/2*h**2 - 1\/5*h**6 + 0*h**5 + 0*h**t + 0. Find the first derivative of a(r) wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110063?\nAnswer: 110063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2755249099?\nAnswer: 2755249099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5. Suppose -3*i + 15 = g, -4*b - 2*i = -63 - 283. Suppose 10*p - b = 7*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 26957*j**3 + 7*j**2 - 33*j + 47. Is i(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b27a3 (base 13) to base 12\nAnswer: 135149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.09 + -2.91. Which is the closest to 1? (a) 4 (b) q (c) 124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 2. Let o be d(3). Let l be 54\/(-6)*(0 - 1). Suppose -3*i + q = -22, 3*i - l*q = -o*q + 38. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2690 + -2392. Is b a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/8 + n**3\/2 - 141*n**2\/8 + 45*n.\nAnswer: n*(n - 8)*(n - 3)*(n + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -998355.6 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*u + 1, -3*u + 25*m - 30*m = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 4. Let d be h(-5). Let f be 3 + (0 - (-4 - -6) - d). Factor 0 + 72\/11*s**f + 8\/11*s + 162\/11*s**3.\nAnswer: 2*s*(9*s + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(((-38)\/1596*49)\/(14\/(-66)))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.124123 and -5191.\nAnswer: -5170.875877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 779132 by 389566.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -35*f + 158. Determine u(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h - 9. Let j(i) = -i + 1. Let p be 9*(4\/12 - 1). Let m(c) = -c**3 - 5*c**2 + 6*c - 1. Let l be m(p). Give l*s(v) - 6*j(v).\nAnswer: -v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:25 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -49 - (0 + (-8 - -16 - 5) + -7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g - 605 = 637 - 1032 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**2 + 1 - 1)*(-3 + 3 - 2*a) - 14*a**3 + 57 - 57 as q*a**3 + s*a + b + w*a**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 202688, 202660, 202632, 202604?\n\"Answer: -28*c + 202716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 10 + 5\/2*b**2 - 5*b. What is the first derivative of a(x) wrt x?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -785357?\nAnswer: -1\/785357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -15) + -9 + 12 + -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26573635 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 595013 equal to 0.562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18 + -21)\/(174\/177 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 238*o - 6. Let g(i) = -2*i - 1. Determine 12*g(f) - 2*y(f).\nAnswer: -500*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/7)\/o)\/o**(-1\/8)*(o**(-2\/3)*o)**15)**(-1\/7) assuming o is positive.\nAnswer: o**(-207\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + sqrt(112)*5 + sqrt(7))**2 + 2*(sqrt(175)*3 - sqrt(7))).\nAnswer: 770*sqrt(7) + 15480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2340 - 5379. Let t = -1337 - z. Let g = -1701.99999183 + t. Round g to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2 (b) -133 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-671)\/(-165) + (432\/45 - 8). Factor -5*o**3 + 38\/3*o**2 + 2\/3 - f*o.\nAnswer: -(o - 2)*(3*o - 1)*(5*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, h: 1}. What is prob of sequence hn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 266376 - 4?\nAnswer: 266372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.6 + -4.6. Let w = a + -65. Let o = w + 46.00065. What is o rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1357363?\nAnswer: 7, 211, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/36 and (98\/(-147))\/(2 + (-618)\/21)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22458 (base 13) to base 2.\nAnswer: -1111001100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-74)\/(-14) + (-2)\/7. Solve 3*b = -b - j*k - 36, 0 = -2*b - 4*k - 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*w = -1054*w + 526*w - 391 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*f + 3*f - 7, -5*i - 11 = -3*f. Suppose 0 = -2*c - f*v + 454, -3*c + 241 + 408 = -5*v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 143*r**4 - 5*r**3 + 9*r + 18. Let v(i) = -72*i**4 + 3*i**3 - 5*i - 9. Let w(c) = -3*s(c) - 5*v(c). What is the derivative of w(m) wrt m?\nAnswer: -276*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*g**3 - 167*g**2 + 321*g + 7529249 wrt g?\nAnswer: 18*g**2 - 334*g + 321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 2727523*v + 27274927. Calculate y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 30*t + 2*t**2 + 3 + 0*t**2. Let r be u(13). What is the second derivative of -63*f + 59*f + r*f**2 + 11*f**2 wrt f?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, p: 4, q: 1, l: 7}. Give prob of picking 1 l, 1 j, and 1 p.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v + 30 - 53 + 99 = 0. Suppose -3*d + 1 + 6 = 4*m, 0 = -3*d - 2*m + 11. Let x(b) = b**2 + b + 2. Let p be x(0). Sort d, p, 0, v in descending order.\nAnswer: d, p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294423 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3521 by -2.\nAnswer: -3521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*-3*sqrt(152))\/((sqrt(8) - 1*sqrt(800))*3)*6)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -58*z**7\/35 - 19*z**5\/6 + 234*z**2 - 2*z. What is the third derivative of w(q) wrt q?\nAnswer: -8352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/84200 and 13\/9?\nAnswer: 757800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8902*z - 327678 = -1200074 for z.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 214. Let c(k) = -90*k - 432. What is the remainder when g is divided by c(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b = 511*b + 2262 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -26 + 19*y + 26 - 33*y + 18251*y**2. Let l be n(14). What is l rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 45 = 2*q. Let b = q - 5. Solve -b*z = -3*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*u**3 - 182*u**2 wrt u?\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 7*p + 59, 8*u - 3*p - 204 = 11*u - 309 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 2*g + (46 + 81 - 1)*(51 - 51 - 4*g))*(-2*g + 4*g + 0*g).\nAnswer: -1004*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1312923 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + 4*r - 2. Let x(j) = -3*j**3 - 3*j**2 - 13*j + 7. Calculate 14*m(z) + 4*x(z).\nAnswer: 2*z**3 + 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 739412 - -a?\nAnswer: 739420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b524 + -16d?\nAnswer: 7b3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-180)\/(-50)*(-10)\/(-3). What is the second derivative of 6 + 4*p - p**4 + r*p**4 - 6 wrt p?\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61752, 61711, 61640, 61539, 61408, 61247?\n\"Answer: -15*g**2 + 4*g + 61763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-10)\/12)\/((-2457)\/(-2106)). Let l = 3 + -6. What is the nearest to o in -4\/3, 4, l?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a**2 - 397*a + 29. Calculate u(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q + 1. Let k be t(0). Let g = 13 + k. Solve -1 + g = 5*b + 4*l, -2*b + 22 = -4*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = 1. Let v be (-8 - -9) + 2\/z. Let d = -1 + 0.9. What is the closest to d in v, -3\/5, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 105 = d. Suppose 0 = 4*p - d + 7. Which is the third biggest value? (a) 2\/5 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -372.65959 to one decimal place.\nAnswer: -372.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 + 65870*f\/11 - 65892.\nAnswer: 2*(f - 11)*(f + 32946)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/7)\/(n\/n**6))\/(n*n**1)**(-2\/141))\/(((n**1*n)\/n)\/n**4*((n**(-2)\/n*n*n)\/n)\/(n**(1\/5)*n)) assuming n is positive.\nAnswer: n**(56117\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24851696.9 rounded to the nearest one hundred thousand?\nAnswer: 24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 29*t - 181. What is r(-27)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -9185\nAnswer: 6\/9185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -21*k - 12. Solve 0 = -2*z - k*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6386*d = -6397*d - 132 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by -6 - 952\/(-161) - 2003\/(-23).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1442\/8 + (-1)\/4. Let o be ((-13740)\/(-108) - 7) + (-46)\/207. What is the highest common divisor of c and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 310*h - 618. Let m be u(2). Solve 11*w = -m*w + 65 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 28. Which is the second smallest value? (a) 0.2 (b) f (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 2328*m**2 + 282220*m.\nAnswer: -4*m*(m - 103)*(m + 685)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21462 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 238, 242, 248, 256, 266, 278, 292?\n\"Answer: r**2 + r + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 29 (c) 546 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -79*s**9\/168 + 17*s**5\/30 + s**3\/3 - 12*s**2. Find the third derivative of j(x) wrt x.\nAnswer: -28440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-12) + (6 - (-222)\/(-36)). Which is the nearest to p? (a) 1\/7 (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -399 + 398.9. Let x = -49 + 49.328. Which is the closest to f? (a) x (b) 4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4336 divided by -2168.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 2*v**5 + 0*v**5 + 4*v**5 + 9*v - 9*v + (0*v**4 + 4*v**4 - 3*v**4)*(0 + 0 - v) + 2*v**5 + 1 - 1.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.047 - -0.837. Let u = 0.21 + g. Let o = 4 - 3.9. Which is the closest to o? (a) -2 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.995 - 15. Let k = 7572 + -7572. Which is the nearest to k? (a) 1\/2 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 12. Let r be d(-3). Let u be (-3)\/(r*(-2)\/(-12)). Suppose w + w = u. Solve 14 = w*o - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(15\/(225\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87650 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 275501 - 233453 = 0. Calculate the greatest common factor of 352 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/48 and -7\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12387386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/(-210))\/(2\/(-7)))\/((-2)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*(-3 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12*x - 20. Let s be c(-9). Let d = s - 49. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.5. Let z = -0.5 - y. Are -1 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1. Let p(q) = -q**2 + 8*q - 18. Let n(d) = 6*m(d) - 3*p(d). Determine b, given that n(b) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 3 = 2*p - 4*d, 3*p - 2*d = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 1128*c**2 + 41682*c + 148552.\nAnswer: -2*(c - 599)*(c + 4)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3099603.\nAnswer: 3, 13, 19, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*d + 77. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -8, 861 in descending order.\nAnswer: 861, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(962\/52 + -26).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 9\/4, -1\/5, 2814?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/21)\/(232\/203).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 + -168. What is the second biggest value in u, 2\/7, -6\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, 1 v, and 1 i when four letters picked without replacement from {v: 1, a: 1, i: 1, e: 2, y: 1, g: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -21 + 13 + 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/14889, -0.03, 0.09?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5405.68 millilitres to litres.\nAnswer: 5.40568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**3 + 49 - 23 - 2*z**2 - 24 - 8*z**3 - 18*z**3 - 2*z to f*z + u*z**2 + a*z**3 + b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - x**2 + 89.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17486129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000970278 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13733 + 13733.7. Put 1, j, 77 in increasing order.\nAnswer: j, 1, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (11 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - 13\/(3016\/(-4263))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*l**2*q + 22*l**2 + 17*l*q - 2169*l wrt l?\nAnswer: 226*q + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**3 - 9*t**2 - t - 9. Let k(o) = 4*o**3 + 4*o**2 + o + 4. Let d = -18 + 14. Let h(r) = d*b(r) - 9*k(r). Find the second derivative of h(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35177 - 30464. Which is smaller: -2\/11 or o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 9*c + 3. Suppose 0 = 8*p + 43 - 67. Suppose b + 5*t - p = 0, -b + 5*t - 5 = 6*t. What is u(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -3*k, 3*k - 2 = 10. Suppose -t = 5*i + b*t - 30, 0 = -5*i + 3*t + 30. Solve 0 = -a - 2*d + i, -7 = -2*d + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 - v**3 + 84 + 3*v**3 + 32*v**4 in the form f*v**3 + o*v**4 + s*v + y + n*v**2 and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14*y - 66. Let j be z(-5). Solve j*h = 2*k - 6, 5 = 4*k + 2*h - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 57 = 5*x + 50*z + 97, -x = z - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*u + 12, -2*u - 6 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360853*w + 360796*w - 721649*w + 21*w**2.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(18\/96)\/((-24)\/64).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53031*k - 1384*k - 76873*k - 98092*k.\nAnswer: -123318*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 1403 = 269. Calculate the greatest common factor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (2 - 8) - (-42 + 1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19*f + 37. Let j be b(23). Suppose -2*q - n + j = 0, -3*q + 2*n + 349 = -376. List the prime factors of q.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 16) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-18.1\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1016 - 858. Sort 5, 2, k.\nAnswer: 2, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11514*t**4 + 8910*t**3 + 2012*t**2 - 17872*t - 3 wrt t.\nAnswer: -276336*t + 53460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - k**2 + 2*k**2 - 559*k**3 + 999*k**3 - 223*k**3.\nAnswer: 217*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert c17 (base 14) to base 15.\nAnswer: a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.524 - -20.7. Let b = x + 0.324. Put b, 0.39, -5 in ascending order.\nAnswer: -5, b, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkw when three letters picked without replacement from vwkwg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 8be0?\nAnswer: -8be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -15*j**8\/14 - j**4\/12 + 3*j**2\/2 + 9*j - 3. Find the third derivative of z(x) wrt x.\nAnswer: -7200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27613699 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**6\/120 + 3*t**2\/2 - 3. Let l(r) be the second derivative of d(r). Solve l(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -26. Let x = 7 - 3. Calculate the least common multiple of k and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200905.99928 + 200891. Let n = 15 + t. Round n to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11799, -11989, -12179, -12369?\nAnswer: -12559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806216423.\nAnswer: 806216423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6731 minus 1?\nAnswer: 6730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12787194451\/5857960 - 2\/732245. Let u = -2186 + g. Is u smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18379958*u - 36759631*u + 18379673*u + 10*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181308299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670 less than 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**5 - 3*b**4 + 7*b**3 - 5*b + 3. Let y(f) = -7*f**4 + 22*f**3 - 6*f**4 - 16*f + 3*f**4 - 16*f**5 + 10. Let c(s) = 20*m(s) - 6*y(s). Factor c(t).\nAnswer: -4*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 10 + -10 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1. Let o(l) = l**3 + 10*l**2 + 5*l + 12. Let m(t) = -o(t) + 5*v(t). Is m(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*g - 8 = 37, -3*r - 2*g = 70. Is (34\/r + 13\/65)*-40 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 33) + 7 + -4 - (-83 - 21)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3.9, 3, -1040, 3\/5, -2\/15, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 22*c**2 + 59*c + 33. What is q(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 10. Let p be s(6). Suppose -d - p*d + 75 = 0. What is the second derivative of 10*j**2 + 15*j - 7*j - 10*j - d*j wrt j?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126765 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: Is 5511271999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*15\/135)\/((-4)\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66463*q**4 + 6231*q**2 + q wrt q?\nAnswer: 1595112*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2004504 and 126.\nAnswer: 42094584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 96, -0.1, 5, -119, -0.2 in decreasing order.\nAnswer: 96, 5, 2, -0.1, -0.2, -3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (8\/2)\/((-12)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -94. Suppose -3*f + 24750 = 3*x, 2*x = -f - m*x + 8265. Suppose -11*o + 6*o = -f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9471 - 6244 - 10*w**2 - 3227.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnk when three letters picked without replacement from wngbknnwbnfg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - -2) + -3 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/2 - (1 + 9\/18). Suppose l - 730 = -q*l. List the prime factors of l.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.2 + 8. Let v = -11 + 11.8. Let k = v - g. Which is the third smallest value? (a) k (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*s - 9 + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 5*l + 7, 4*m - 2*l - 15 = 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6162*a**2 + 28*a. Let y(p) = -1232*p**2 - 6*p. Calculate 6*x(b) + 28*y(b).\nAnswer: 2476*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 4. Let o be w(-3). Let f(p) = -5*p**2 + 2*p + 1 - p**3 - p**3 + 3*p**3. Let s be f(o). Solve -14 - s = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -298370.60123 + 298372. Round k to two dps.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*o + 2*o = 13, 3*a + o - 25 = 0. Let c = a + -6. Suppose s + c*s + 12 = 0, 5*n - 3*s - 412 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26860)\/338436 - (1\/7 - -1 - 2).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63519727 - -4?\nAnswer: 63519731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 1:59 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-5 + 4*t + 5)*(-2*t**3 + 4*t**3 + 0*t**3).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 207*l - 198*l - 4788. List the prime factors of l.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30295 divided by 1.\nAnswer: -30295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 e when four letters picked without replacement from iepenpp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = h - 0*h + 5*d, -4*d = -16. What is the smallest common multiple of (-1912)\/(-12) - 46\/(-69) and h?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.06 - 5.56. What is the closest to -16 in -1, 4, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 539*o**3 - 10*o**2. Let r(s) = -540*s**3 + 12*s**2. Give -6*n(t) - 5*r(t).\nAnswer: -534*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1593505 divided by 5.\nAnswer: -318701","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 105*z = -18 - 2852 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*d, -2*z - d = d - 272. Suppose 3*t + t - z = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3129 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 2110924.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14388750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 15 - (-7 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - (sqrt(192) - (-1 + sqrt(192)) - sqrt(192))) + -1 - (4 + -1 + sqrt(192)) - (-3*sqrt(192)*-2 - (sqrt(192) - (0 + sqrt(192))*-2)))*-5)**2.\nAnswer: 4000*sqrt(3) + 19825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 4. Let x(q) = 1. Let r be (1 - -2)*10\/6. Let h be 5\/30 + 17\/6. Suppose -3*f + 6 = h*u, 27 = f + r*u + 9. Determine f*x(j) - t(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.7 and -1053.\nAnswer: -15479.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 11. Let o be k(-9). Suppose -58 = o*n - 2*z, 5*z + 0 - 49 = n. Let g be (-812004)\/14 + n\/(-84). What is g rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 2 - 7 - 3) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.98 - 0.61. Let g = u + 1.46. Round g to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13e + 0?\nAnswer: -13e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 13*s**6\/360 - 3*s**3 - 2. Let v(z) be the third derivative of m(z). Let u(y) = 2*y. What is v(u(c))?\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 10 - 28)*((1 + 4 + 1)*(5 - 5 - 2) - 1 - 3 + 6)*(-2*v + 4 - 4).\nAnswer: -1320*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335186 is divided by 85.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*y + 19. Calculate the remainder when ((-7)\/(-2))\/((-1)\/(-2)) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 8*o - n + 5 = 0, -2*n - 25 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v + 56. Let k be h(0). Let a = -45 + k. Suppose 29 = 5*d - 51. What is the lowest common multiple of d and a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*v**2 + 243 - 243 + (-5 + 7 + 5*v - 4*v)*(15 - 15 - 8*v) as q*v**2 + k + m*v and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5 - (-1 - (-1 - -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50240 is divided by 1434?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 33\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l*l**2*l**(-1\/12)\/l**0 assuming l is positive.\nAnswer: l**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(1053) + sqrt(104)\/((sqrt(8) - -2*sqrt(8))*-3 - sqrt(8)).\nAnswer: 1 + 179*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**4\/12 + 4*h**3\/3 + 21*h**2\/2 + 17*h + 21. Determine n(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/21)\/((-12)\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(110) + sqrt(110))*-4)\/(sqrt(2) + 4*(sqrt(18) + sqrt(2) + sqrt(2))))\/(5*sqrt(275) - (sqrt(33)*-2)\/sqrt(3)).\nAnswer: -4*sqrt(5)\/189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogvhmmh. What is prob of picking 1 m and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -0.03, -1, 0.09, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23216.9469 to the nearest 100.\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 996763, 1993534, 2990305, 3987076, 4983847?\n\"Answer: 996771*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = 4*d - 16, -4*d + 5*g = -2. Solve 0 = -w - t - 2, 5*w + d*t + 6 = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 33)*(2*b + b - 4*b).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y - 4. Let p be s(3). Let z(m) = -p*m + 14*m - m**2. Let u(g) = -12*g**2 + 10*g - 22*g + 12*g. Calculate u(z(k)).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(833) + sqrt(833))**2*-6 - sqrt(833)) + sqrt(833) + (-3*(-1 + sqrt(833))**2 - sqrt(833)) + 2.\nAnswer: -22498 + 203*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*q + 1 + 4, 4 = -3*b - 4*q. Suppose -5*o = 5*w - 14385, 5*w - o + 7904 - 22301 = b. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 212054440*w**2 - 280566534 wrt w?\nAnswer: 424108880*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2 + sqrt(153)))*2 - 5*(sqrt(1377) + -1).\nAnswer: -49*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = -500. Let l = -66 + j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxkxfxixcsxsxski. Give prob of sequence ifx.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**7\/84 + c**6\/180 - c**4\/24 + c**3\/3 + c**2. Let h(k) be the first derivative of s(k). What are the prime factors of h(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 40 = -5*z, 4*v - 2*z - 2*z - 128 = 0. Which is smaller: v or 31?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(2299) + sqrt(2299) + -3 + sqrt(2299) - (sqrt(2299) - (-2 + sqrt(2299) + 2 + sqrt(2299) - sqrt(2299)))) + -4)*6)**2 + -2.\nAnswer: -19008*sqrt(19) + 2980078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 + -77. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 3\/10 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 250456.13 and 5.\nAnswer: 1252280.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 20 = -2*g, 0 = g - q - 17. Let u be 10\/30*(4 + 11). Solve -5*x = -2*b - g, u*x + 3*b = 2*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaivivrddvvivdv. Give prob of sequence ira.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide ((-622)\/14 + 5)\/(4\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 0.0571.\nAnswer: -3.9429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 + 110. Let q = z + 116. Suppose q*r = -9 + 73. What is the least common multiple of r and 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664276128 divided by -32?\nAnswer: -20758629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from zzsszsz.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19020 and 18?\nAnswer: 57060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503789551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(24) + (sqrt(24) - (sqrt(24) + sqrt(288)\/(1*sqrt(12))))))\/(sqrt(768)*2 + sqrt(768) - sqrt(768) - sqrt(768)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(539\/220)\/49. Which is bigger: v or 23\/63?\nAnswer: 23\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30077065, 60154122, 90231167, 120308194, 150385197, 180462170, 210539107, 240616002?\nAnswer: 270692849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 10*z**2 - z - 8. Let q be k(-10). Let r be 15\/12 - q\/4. Put r, 0, 0.1 in descending order.\nAnswer: r, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.056 times -4.3045\nAnswer: 0.241052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*x**2 - 1 + 77131*x - 1 - 77127*x in the form r*x**2 + f*x + y and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let z = -102 - -107.3. Let q = l + z. Which is the second biggest value? (a) q (b) -2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 - 4*a - 1. Let s be k(5). Let b = s - 26. Suppose 0 = d - b*g - 38 - 11, 55 = d - 5*g. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 240328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-64)\/(-2*2). Suppose -y + 9 = 4*j. Let v(o) = 13*o**2 + o + 1. Give v(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/540 and -83\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/((x**3*x)\/x))\/(x\/x**(-2\/5))**(15\/4) assuming x is positive.\nAnswer: x**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p**2 - p. Let o(x) = -3*x**2 + x. Suppose 19*u + 13*u - 36*u = -12. What is u*b(t) + o(t)?\nAnswer: -3*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 27*k**2 - k. Let u(w) = -9*w**2 + 7*w. Let m(a) = 4*a**2 - 3*a. Let h(n) = -14*m(n) - 6*u(n). Calculate h(s(t)).\nAnswer: -1458*t**4 + 108*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141559\/540 or 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.523 and -0.81113.\nAnswer: 0.71187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/6)\/(2\/106). Let m = y + 173. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (13 - 4\/(-4)). List the prime factors of ((-62)\/(-4))\/(1\/z).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 + 2?\nAnswer: 2.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3729710 rounded to the nearest one hundred thousand?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 1. Let d(u) be the second derivative of 11*u**3\/6 + 5*u**2 + 2*u + 56. Determine -2*d(v) - 18*t(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*h = 737 - 5 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-120)*468\/(-520).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2868 divided by -119\nAnswer: -2868\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7202777 to the nearest integer?\nAnswer: 2684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92519 + -215666. Let n be (-15)\/9 - -3 - 725226\/l. Let u = n + -1\/4561. Find the common denominator of u and -44\/57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (9 + 15 + -9 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - m - 1. Let r(x) = -x**2 - 9*x - 4. Calculate r(i) - 6*t(i).\nAnswer: 5*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-179172)\/8295)\/((-6)\/(-20))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 382527316833 and -0.03.\nAnswer: 382527316832.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*y**2 - 972*y**2 + 19*y - 61*y**2 + 1 - 17*y + 207*y**2 - 2730*y**2.\nAnswer: -3399*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 5*k**6\/24 + 2*k**5 - 25*k**4\/8 - 10*k**3\/3 + 45*k**2\/8 - 4504. Solve n(h) = 0 for h.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**2 - 1959*q - 130050 = 0.\nAnswer: -578, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 87*g + 9 = 89*g, 0 = 3*b + 2*g - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*z + 0*z + z.\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4135 - 4135 - 66*q**3 - 20*q**3.\nAnswer: -86*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1003, 2010, 3025, 4048, 5079?\nAnswer: 6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxlexelxbbxbxlxxbeb. Give prob of picking 3 x and 1 l.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8653091 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1184\/(-9702) - 2\/(-9). Let w = r - -4\/49. Let t = 0.3 + -1.3. Which is the third biggest value? (a) w (b) -3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - 8*r**2 + 9*r + 182. Calculate v(0).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76)*1 + sqrt(76))) - sqrt(76)) - sqrt(76))*-3)\/(1*sqrt(16)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2196)\/(-42) - -2 - (-4)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 7. Let g be l(-5). Let k = -2552 + 2557. Sort k, -12, 0, g.\nAnswer: -12, g, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j + 11. Let h(w) = -40*w - 33. Let f(z) = -6*h(z) - 17*x(z). Find the first derivative of f(n) wrt n.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 + 101*l**3 + 354*l**2 + 8*l - 3533166 wrt l?\nAnswer: 8*l**3 + 303*l**2 + 708*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7861*j**2*s**3 - 9*j**2 + 54*j - 4 wrt s.\nAnswer: 23583*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*j + r + 120, -j = 5*r + 1. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22, -5, 6963.\nAnswer: -5, 5, 22, 6963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*g**4*r - 26*g**2*r**2 - 49*r**2 + 3*r - 2 with respect to g.\nAnswer: -208*g**3*r - 52*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 194 + 56. What are the prime factors of (6\/(-15))\/(2\/o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 5. Let l be (-3 + g)\/4*1. Suppose -4*o + l = -11. Solve -w - 3*y - 9 = 0, -o*w - y - 3 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/(((-1702)\/111)\/((-20)\/15))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88579, 88580, 88581, 88582, 88583?\n\"Answer: u + 88578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 3, r: 4, u: 2, h: 2}. Give prob of sequence dhr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*v**2 - 15*v**2 + 16*v**2 - 2*v.\nAnswer: 24*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5743 * 0.5\nAnswer: 2871.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 101011111001011000 (base 2) to base 15\nAnswer: 3841a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 35*d + 31. Let l be f(-18). Suppose l*w - 40 = 3*w. Solve -3*c - 5*a - 1 = 7, -3*c + 28 = -w*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 478, 472, 456, 424, 370, 288, 172?\n\"Answer: -l**3 + l**2 - 2*l + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1126588886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwyw. Give prob of sequence wyw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1834 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 + 17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(0 - (-2)\/1). Is -10 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 - m - 2. Let h be f(-1). Suppose -3*r = -2*q - h + 1, 3*q + 5*r = 37. Solve 4*w + 12 = w - q*i, 4*w - 4*i + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2828 + -2738. Solve -62 = 28*t - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5115 less than -5395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - 0.91. Let b = 13688\/39 - 351. What is the nearest to m in b, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -423*u**3 + 489408*u**2 + 983985*u + 6954 = 0.\nAnswer: -2, -1\/141, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (25 + -9)) + -39?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 9*r. Let d be t(8). Let g = 13 + d. Let j(s) = -s**2 + 5*s - 2. Let i be j(g). Sort 5, -5, i in decreasing order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 543, -3, -0.1, -14, 0.13, -1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283771 is divided by 2307?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71116 - 2366 = 6*m + 4*m. Is m a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40476 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/w**(-1\/7)))*w)\/w)**(1\/3)\/((w**17\/w*w)\/(w*w**11)))**(-8\/11) assuming w is positive.\nAnswer: w**(776\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -1 - (315 - 298)) + 1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2058, -3809, -6910, -11511, -17762, -25813, -35814?\n\"Answer: -25*p**3 - 525*p**2 - p - 1507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -9, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 641428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -10452*n - 56. Let v = -137 - -159. Let b be m(v). Round b to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10202*u + 10207*u - 385 = 0. Calculate the remainder when u is divided by ((-6)\/(-15))\/(2\/130).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (19 - -32) - 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -47*q**2 + 338*q - 70. Give r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - -15. Let i = 43 - r. Let d(x) = -15*x**3 + 13*x**i + 8*x - 9*x**2 + 11 + 3*x**3. What is d(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*o - 15, 5*o - 6*o - 4*u = -21. Sort 4\/21, o, 1\/3, -2\/7 in decreasing order.\nAnswer: o, 1\/3, 4\/21, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 10*o**3 - o**3 + 13*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from mwwmmlwqdlxwxlmllxlw.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.05, -2, 1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 385 or -58?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -r - 3*x, 2*r + x - 3 = 0. Let w = r - 0. Suppose w*k = -5*h, -h + 3 = 2*k - 4. Put 0.2, 0.5, h in decreasing order.\nAnswer: 0.5, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228429 is divided by 114116?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 347517, 695115, 1042701, 1390269, 1737813, 2085327, 2432805?\n\"Answer: -v**3 + 347605*v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-2))\/((-93)\/(-124)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4423 (base 7) to base 5\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 624679, 624805, 624931, 625057?\n\"Answer: 126*s + 624553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - s = j - 238, 0 = -3*s + 3. Solve -5*z + 59 = j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2 - 2 + 5*z**2 - 5 - 4*z**2 - 14*z. Let p be c(15). What is the common denominator of 137\/18 and (32 - -1)*p\/(-24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 386000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(484\/(-32340)*-35).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/19 + 66*k**2\/19 - 510*k\/19 + 1150\/19.\nAnswer: -2*(k - 23)*(k - 5)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(408) + sqrt(408)*-1 - sqrt(408))*-2)\/(1*sqrt(32) - sqrt(8)))\/((4*sqrt(3)*2 - (sqrt(3) + sqrt(36)\/sqrt(3) + sqrt(3)))*-6)*6.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -24a9044?\nAnswer: -24a9047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + 0. Let g be (2\/(-180)*-24)\/(2\/(-3)). What is the nearest to c in -0.3, g, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h. Let l(a) = 6*a**2 - 2*a. Determine -2*l(u) + 10*s(u).\nAnswer: -2*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Let i be j(15). Suppose -i = -2*x - x. Let s be 3\/x + 2 + 2. Solve -2*g - s*h + 6 = -4*g, -10 = -4*g - h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + -2841.\nAnswer: -2840.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*474\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/6)\/((f**(2\/15)\/f)\/f))\/(f**(-4))**(-1\/23) assuming f is positive.\nAnswer: f**(1283\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 2, l: 2, j: 2}. What is prob of picking 1 w and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + ((sqrt(405) - 1*(-1 + sqrt(405)))**2 - sqrt(405)).\nAnswer: -9*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13091)\/1537 + 17)*(-4)\/6. Put -1, p, -5 in ascending order.\nAnswer: p, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2 - (0 + -2). Let n = 11 - 10. Let r = n - t. Solve -5*s + r + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 2c?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 66, 222, 514, 984?\n\"Answer: 7*z**3 + 5*z**2 - 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 11*h + 65. Let n be u(12). What is the greatest common factor of n and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435 - -21?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3195659 and 1.4778.\nAnswer: 3195660.4778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 375 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*i**3 + 135*i - 15*i**2 - 325 = 0. Calculate i.\nAnswer: 5, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61962.5218 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 20*k + 21. Let n be g(19). Suppose n*l - 1082 = 2*d, 3*d + d + 1628 = 3*l. Round l to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.54 - -419.54. Let q = z - 411.11. Sort 5, q, -3\/8 in ascending order.\nAnswer: -3\/8, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 4*i + 3 - 3.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2. Let h(v) = -v**2 - 134*v. What is w(h(f))?\nAnswer: 2*f**4 + 536*f**3 + 35912*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -551, -550, -549, -548?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -868 - -873. Solve 4*w + 12 = -5*r - h, -1 = 2*w - 5*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.284882 to 1 dp.\nAnswer: 323.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -52, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.025 * -0.04.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 21. Suppose 3*j = 5*f + 12, 3*j + j = 16. Let h = f - l. Sort 4, 0.3, h in decreasing order.\nAnswer: 4, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9217 is divided by 9179.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 867425\/57001728 + -471\/10603. Calculate the common denominator of -56\/9 and v.\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9317176529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 564522013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = 0, 0*z - 28 = -4*o + 3*z. Calculate the greatest common factor of o and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*s + 44 - 14, -4*w + 18 = -2*s. Let i = s + 21. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/8)\/((-6)\/16). Does 18 divide r\/((-2 - -3)*4\/108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -53*j**3 + 239*j + 3. Let w(n) = -51*n**3 + 239*n + 2. Let p(x) = -2*q(x) + 3*w(x). What is the second derivative of p(z) wrt z?\nAnswer: -282*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5861, 5642, 5399, 5132, 4841, 4526, 4187?\nAnswer: 3824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 3, h: 3}. Give prob of picking 1 h and 1 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 0, -1, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404 + -350. What is the derivative of -l + 16 - 2*p**2 - 12*p**3 + 6*p**2 - p**3 + 2*p**2 wrt p?\nAnswer: -39*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(567) + 5.\nAnswer: -18*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -17. Put -0.5, x, 0.01 in descending order.\nAnswer: 0.01, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 3*q**4\/8 - 3*q**3\/2 + 3*q**2\/2 - 4. Factor w(l).\nAnswer: 3*l*(l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 - j. Let w = -32 - -30. Let y(k) = -154 - 2*k**3 + 0*k**3 + 153 + 4*k**3 - k**2. What is w*g(h) - 2*y(h)?\nAnswer: -2*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364501?\nAnswer: 29, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = k - b, 0 = k - 3*b - 2. Which is smaller: k or -1\/80?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 - 3 + 3)*(-6*g**2 + 33*g**2 + 46*g**2) as c*g**3 + s + v*g + r*g**2 + l*g**4 and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -34 + -50 + -2 + 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 60, 84, 132, 210, 324, 480, 684?\n\"Answer: c**3 + 6*c**2 - c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 20 = 0. Suppose 8*p - 3*p - r = 0. Sort p, -4, 5 in decreasing order.\nAnswer: 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-6) + -2)*117\/(-78)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -5, 2\/5, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -9*o. Suppose 1 = q - o*q, 5*q = -4*x + 81. Put -0.2, x, 1 in ascending order.\nAnswer: -0.2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -r - 9. Let g = 28 - r. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-1)\/2 + 2. Suppose -d = q*d. Let s(i) = -i**3 + 5*i**2 + 4. Let u be s(5). Solve d*p = u*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46502 - 27138. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000172799 rounded to seven dps?\nAnswer: 0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94939 - 94934. Determine k so that -179\/6*k**4 + 0 + 113\/3*k**3 + 35\/6*k**r - 2\/3*k**2 - 4*k = 0.\nAnswer: -2\/7, 0, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 4, -4 in decreasing order.\nAnswer: 5, 4, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*j - 3195*o + 3192*o, 3*o = 4*j + 15 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 2*h. Let p(c) = -5*c**2 + 4*c. Give -7*b(u) - 4*p(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -5. Which is smaller: 6 or t?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252314 (base 12) in base 10?\nAnswer: 605248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(-1)\/9*-3. Let y(a) = a**2 - 4. Let q be y(x). Suppose -5*r - 11 = -4*h, q = 3*r + h - 2. Which is smaller: 2\/11 or r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/170)\/((-143)\/286).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*o + 9. Let y be (o\/12)\/(54\/(-16)). Suppose -2*r = -1 + 3. Are y and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 0, 5, 9723, 1 in descending order.\nAnswer: 9723, 5, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 - 4*a**4 + 3*a**3 + 4*a**2 - 4*a.\nAnswer: a*(a - 2)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2540707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 5 (c) -4\/23 (d) 1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuu when four letters picked without replacement from {t: 3, o: 4, d: 3, u: 3, g: 4}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 divided by -54?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)\/(n**(3\/4)*n))\/((n**(-2\/3)*n)\/(n\/n**(1\/4))))\/((n**(-1)*n)\/((n*((n*n**7)\/n)\/n*n)\/n))**(-1\/9) assuming n is positive.\nAnswer: n**(-67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.8, 20\/19, 5, -318?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-8))\/(3\/(-30)). Let r(b) = -b**3 + 2*b**2 + 58. Let j be r(0). Let a = j + f. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897746 is divided by 864?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53664 and 132784.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 15*f**2 + 62*f + 528. Determine b(-16).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622 is divided by 3470.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 602\/3751 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 = -9. Let o = -77.6 - -77.5. Let r = 0.39 - 7.39. Which is the closest to o? (a) r (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1777 + -1767. Suppose -2*j + 3*j = 56. Suppose -56 = -2*m - 5*h, -2*m + 2*h + j = -2*h. What is the remainder when m is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -477034400 rounded to the nearest one hundred thousand?\nAnswer: -477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 776004, 776003, 776002?\n\"Answer: -m + 776005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136036 by -3.\nAnswer: 136036\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167 + -165 - (10 - 1)) + (0 - 14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268 by -1911.\nAnswer: -268\/1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 7*j + 1. Suppose -2*f - 8 = 8. Is t(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 11*v - 6. Calculate n(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4535*g = -4537*g - 6*c + 10, 0 = 5*g + 2*c - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -566, 0.3, 2.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 51 + u**2 - 4*u**3 + 9 + 42. What is p(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97\/3*o**3 - 357*o - 294 + 605\/3*o**2 + 5\/3*o**4 = 0. What is o?\nAnswer: -3\/5, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6)\/(4\/18). Let z(h) = 4*h**2 + 4*h. Calculate the remainder when z(s) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 - 78. Find the second derivative of x*n**4 + 14*n - 7*n**4 - 9*n**4 wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-3) - 3) + 2. Suppose -m*o + 9 = -4*p + 1, 0 = 4*p - o. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from ruuurrwruwrr.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + b + 0*b - 2*b - 2*b**2. Let u(w) be the second derivative of w**5\/20 - 3*w**4\/4 + 3*w**3\/2 + 11*w - 5. Give 9*s(i) - 2*u(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -37174.49693 take away 3?\nAnswer: -37177.49693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + -4.88. Let w = -101.5 - -102. Which is the smallest value? (a) 2 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(2 - 2\/6). Which is the nearest to 2\/3? (a) 5\/4 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - x**3 + 0*x**3)*(1 - 2 - 2)*(-x - 3*x + 5*x).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -6 - (1 - -14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = -d, -d + 3 = 2*h. Suppose h*k + 2*q = 7752, -k - q = -540 - 1399. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103732841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -433*b**2 + 4*b + 155. Let s(d) = -866*d**2 + 10*d + 311. Let n(i) = 2*s(i) - 5*w(i). Differentiate n(f) wrt f.\nAnswer: 866*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -1205, 3.\nAnswer: -1205, -63, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*u**2 - 51*u**2 + 2*u - 20*u**2 + 66*u**2 + 83*u**2.\nAnswer: 156*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 19317145832\nAnswer: 19317145832.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 5084*j**2\/7 - 4206962*j\/7 + 160360872.\nAnswer: -2*(j - 977)**2*(j - 588)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*d + 18, -y = -0*d - 5*d - 27. Solve 0 = 2*t - 7*t + 3*z - 12, 4*z = -y*t + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*a + 6 - 66 - 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1026\/(-63))\/19)\/(3\/21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 174 + -3?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-224)*-6 + (-3)\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1319963 or 1319964?\nAnswer: 1319964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/(v\/v**7))*v))\/((v\/v**(-7))\/v*v))**2)**6 assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20009 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*w - 27*w - 33*w + 84*w.\nAnswer: 121*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 2*h**2 - 2*h + h + 23 - 21*h. What are the prime factors of u(15)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -3, 2193, 1.\nAnswer: -3, -0.12, 1, 2193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f**2 + 5*f + 5. Let w(c) = -7*c**2 - 4*c - 4. Let q = 0 - 4. Let t(x) = q*i(x) - 5*w(x). Let j(h) = -h. Determine j(t(o)).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-24))\/(150\/40) + 24\/30?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 21*y**2 - 27*y + 98. Give s(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 - 17*k - 19. Let a(x) = 2*x**3 - 8*x - 9. Give 13*a(r) - 6*u(r).\nAnswer: -4*r**3 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c**5\/9 + 124*c**4 + 2476*c**3\/9 + 164*c**2 + 148*c\/9 = 0. What is c?\nAnswer: -1, -1\/8, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 25*f - 20*f = -14395, -4*d - 3*f + 14435 = 0. What are the prime factors of d?\nAnswer: 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 6*l**2 - 2*l + 7. Let t be v(6). Suppose -4*b - 45 = j, -4*b + 5*b - 5*j - 15 = 0. Is (-179)\/(-2) - t\/b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 - 35*m**4 - 90*m**3 - 110*m**2 - 65*m - 15 = 0. What is m?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8277*z**3 - 8455*z**3 + 25009*z**3 - 8271*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-1)*(-231 - -230)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/187675 + -3640847\/9008400. What is the common denominator of -103\/1080 and l?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53010 is divided by 787?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 0.18 (c) 0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 13*p**2 - 38*p + 1444. Calculate h(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3) + 4 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -6 - (10 - (-2 - -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.139 - -0.161. Let i = z + -2.2. What is the nearest to -2\/5 in i, 3\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:28 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 9:17 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = 5*a + 24, -4*b - 5*a = -14. Let i be (-15)\/b*(1 - 3). Let f(p) = p**3 - 5*p**2 + 3. What is the units digit of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 61. Let v be j(0). Let m = -23 - v. What is the highest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128 + 247. Calculate the remainder when n is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1876 or -14?\nAnswer: -1876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1 + 4 - 6*q + 0 - 7. List the prime factors of c(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 8*y - 210. What is the remainder when 15*y\/21*(-2 + 1) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 6*j - 83. Give w(-7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o - 89*o = 320. What is the smallest common multiple of 63 and (3\/(72\/o))\/((-2)\/105)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28 - 426028)\/(-1 + 2). Round j to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezezzzzzzzezzzz. Give prob of sequence zee.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.1274 nanometers in kilometers?\nAnswer: 0.0000000003531274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/97600 and 37\/2200.\nAnswer: 1073600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18*7*9\/126?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 10. Suppose 5*a + 7*a = 132. Let t = a + w. Solve 2 - 7 = -t*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2. Let p(j) = 23*j - 4. Let d(n) be the second derivative of -8*n**3 + 9*n**2\/2 + 45*n. Let t(r) = 4*d(r) + 9*p(r). Calculate f(t(q)).\nAnswer: -675*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46\/135 - -8\/135. Which is the closest to -0.2? (a) -0.4 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 c when three letters picked without replacement from hschhhcqchhqccccch.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - 1 + g - 2*g)*(-3*g**2 - 6*g**2 + 4*g**2) to t*g**2 + j*g + q + a*g**3 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13290 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001101001110010000 (base 2) to base 9.\nAnswer: 1071430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13106815*l**2*w**2 + 111*l**2*w - 8*l + 705*w - 2 wrt w?\nAnswer: 26213630*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 2 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 3\/(-3 - 0). Suppose 4*u = -4*g + 6*g - 92, 0 = k*g - 3*u - 159. Which is smaller: 35 or g?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 34719\nAnswer: 69438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*w)*(5 - 1 - 1) + 8*w + 5 - 5 - 1 in the form o*w + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 138, 5, 26, 1 in decreasing order.\nAnswer: 138, 26, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66241202851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 17 + 47 - 14*q + 13*q - 2 as n*q + f and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(2\/(-3) + 4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*n - 91, -2*s - 134*n + 33 = -129*n for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-3))\/(9*7\/(-21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8936958 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33132545 + -4?\nAnswer: 33132541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*w)*(-2*w - 3 + 3) + w**2 + 0*w**2 + w**2 + 0*w**2 - w**2 + 0*w**2 + (2*w - 1 + 1)*(0*w - w + 3*w) + (9*w + 11*w + 3*w)*(3*w + 2*w - 2*w).\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -49*n**3 - n**2 - n. What is h(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*k**2 + 48\/5*k - 64\/5 + 1\/5*k**3 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 22 = -10. What is the first derivative of 8 + z*s - 12*s + 6*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 - 0.7. What is the closest to -1\/2 in f, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 5. Let w be p(-5). Suppose -2101 + 9501 = w*t. Suppose 5*c = 3*c + t. Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eme when three letters picked without replacement from ezzvvemzm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-236)\/(-76) + 4\/(-38). Suppose -6*w = w - 21. Suppose w*q = -r*q + 72. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/7 + 228*w**3\/7 - 7346*w**2\/7 + 48336*w\/7 - 89888\/7.\nAnswer: -2*(w - 53)**2*(w - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -128142346 and 943?\nAnswer: 128143289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.49 at least -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 3. Suppose u - 5*u = -x. Solve -11 = -u*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10104, -19765, -29308, -38673, -47800?\n\"Answer: 10*h**3 - h**2 - 9728*h - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - 6) - 3 - (10 - -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**3 + 13*m**2 + 13*m + 13. Let c(y) = 3 + 5 + 6*y**2 + 6*y - 2 + 5*y**3. Let d(t) = -361*t + 716. Let l be d(2). Give l*w(f) + 13*c(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f + 644 - 644. Let v(s) = 4*s. Let q(o) = -7*o. Let x(t) = 6*q(t) + 10*v(t). Give x(c(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 - -130. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-66) + (-54)\/(-99) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20742 divided by -5143\nAnswer: 20742\/5143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*b + b - 2 = 0, 4*t + 9 = 5*b. Let z = t - -12. Calculate the least common multiple of z and (-8)\/(-10)*(-5)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(171)\/(1*sqrt(9)) + sqrt(19))*-1*-1 - (-5 + 1*((-5*(-1 + sqrt(19)))**2 - sqrt(1216)*-2)).\nAnswer: -495 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 774?\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.745 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 142, 180, 254, 376?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 557878629 to the nearest 1000000.\nAnswer: 558000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 12*p - 18. Let o be j(0). What is the hundreds digit of ((-4938)\/o)\/(12\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(3)) + (sqrt(3) - (-5 + sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: 4*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 130, 129, 128, 127, 126, 125?\n\"Answer: -d + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 10*k**2 - 14*k + 24. Let j be n(-9). Suppose 14*a = 4 + j. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-91)*2\/4)\/((-88)\/2112)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwsn when four letters picked without replacement from nwnwswwswnnnn?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Let u be (10 + -10)\/(2 + -6). Sort j, 4, u in increasing order.\nAnswer: u, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i - 5*x, -3*i - i + 2 = -2*x. Suppose -i*w + 2 = -16. Calculate the lowest common multiple of w and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -5\nAnswer: 174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 4 - 19\/((-152)\/(-24)). Which is the closest to r? (a) -5 (b) -4 (c) -2 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. Let x = -2.56 - q. What is x rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -46, 3\/5, 3 in descending order.\nAnswer: 3, 3\/5, 2\/5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2677 and 1265?\nAnswer: -3386405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 176 = -31. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(262\/4). Let s = h + -271\/1179. Let j = -1.2 + 0.2. Is j not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275280 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51273818*t**3 + 80555213*t**2.\nAnswer: -307642908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - ((8 - (8 - -4)) + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 9*r**2 + 5*r + 73. Let o be i(12). Suppose 4*g + v = o, g + v = 3*g - 2435. List the prime factors of g.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353864376 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 41, 4, 5.\nAnswer: -5, 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/3*588\/(-441).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k - 11 = -11. Let v(t) be the second derivative of -7\/12*t**4 + 0*t**2 + k - 5\/6*t**3 - 5*t. What is the second derivative of v(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159.7+-0.5\nAnswer: 159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-68)\/8 + 2)\/(8\/(-16))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - -49.71. Let o = k - 49. What is the nearest to -0.1 in o, -1, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/343 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 - 465 + 423 - 252*z**3 + 269*z**3 to the form c*z**3 + m*z**2 + l*z + n and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 98, 10 in ascending order.\nAnswer: -4, 10, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -82. List the prime factors of ((-2211)\/55)\/(k\/5).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 19 = 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**2 + 6*t**2 + 16*t**2 + 10*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286 - 286 + 2*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/13, -0.5, 1536, 6\/5, -5\/2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10513396 and 20803.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111 (base 2) in base 11?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3)\/(6\/(-4 + 5)). Sort -5, x, -0.1, -0.2 in ascending order.\nAnswer: -5, x, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737.7509mm to centimeters.\nAnswer: 73.77509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*u + 49905, -3*u + 3*s - 115056 = -40203. Let f = u + 12002. What is f rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 308200, 2465510, 8321040, 19723900, 38523200?\n\"Answer: 308185*y**3 + 15*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -122807120 to the nearest 100000.\nAnswer: -122800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21159701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 16 = 2. Suppose 0 = c*j - 6. Suppose -j*s = -4*s + 4. Solve -p = s*p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000497439228 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l - l - 2 + 9*l - l**3 + 3*l**2. Let u(f) = 6*f**3 - 16*f**2 - 6*f + 11. Give 11*j(d) + 2*u(d).\nAnswer: d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:44 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*h - 135*h + 50 = 0, -9*h = -4*p - 54 - 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**4 + 400*p**2 - 260\/3*p**3 + 256 - 1840\/3*p = 0?\nAnswer: 2\/3, 2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6503?\nAnswer: 7, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20563*m**4 + 2*m**2 - 71525.\nAnswer: 82252*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 + -6 + 236 + 7?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c - 4 - 6 + 10 to v*c + w and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/3 - 15393344*k\/9 - 1140248 = 0. Calculate k.\nAnswer: -2\/3, 2565558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*a - 5*m + 14, -m = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**4\/4 - y. Let f(a) = -a - 4. Let c(l) = -2*l - 7. Let q(d) = -4*c(d) + 7*f(d). Calculate o(q(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1925)\/380 - (-4)\/((-12)\/(-21)). Let v = j + -32\/19. Determine k, given that 5\/4*k + v*k**3 + k**2 + 1\/2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 = -g, t - 12*g = -7*g + 18. Solve 57*c - 54*c + t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3549465319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:21 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159837 - -368104619\/2303. Find the common denominator of u and 40\/3.\nAnswer: 6909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*480155.\nAnswer: -1440465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20633*p**4 - 32*p**2 - p + 4737773.\nAnswer: 247596*p**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 3)\/(-3)*-2. Let k be (26\/(-10) + c)*-5. Suppose -2*s = -223 + k. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83\/74? (a) 11\/3 (b) -4\/5 (c) -4 (d) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) - 108\/(-8). Let t = i - 10. Solve -j = l + 3, 3*l + 6 - t = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1787*d - 239428. Determine t(-134).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 951933195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:37 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*1 + 1)**2.\nAnswer: 12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 - 11*y - 5. Let v(m) = m**3 + 5*m**2 + 12*m + 6. Let x(c) = 6*v(c) + 7*z(c). Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1183 divided by -177.\nAnswer: 1183\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 2, u: 3, c: 1}. Give prob of sequence fuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 63422 divided by 1669?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -72. What is the highest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1073*l**5 - 2*l**2 - 69*l.\nAnswer: 64380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:08 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -21\/284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2666)\/2790)\/(1\/(-45))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (176924\/(-121) - (-2)\/11). Let m = -548 - y. List the prime factors of m.\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(605) + -2*sqrt(605) - 4*sqrt(605)*-1)**2.\nAnswer: 198*sqrt(5) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5 + 42*o**4\/5 - 502*o**3\/5 - 3202*o**2\/5 - 924*o - 160 = 0 for o.\nAnswer: -5, -2, -1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/3 - 16*x**4\/3 + 12*x**3 - 18*x = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - o. Let y be c(0). Suppose y = 2*r - 6*r + 180. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4259, -8, 3 in ascending order.\nAnswer: -8, 3, 4259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4932845 or 4932849?\nAnswer: 4932845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - 6\/(-9)*6. Let p be (2 + g - -160)*(-6)\/(-2). Let f = p - 265. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 1988*v\/13 - 42768\/13.\nAnswer: -2*(v - 972)*(v - 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/1*(-2)\/(-18). Let g(f) be the second derivative of -j*f**3 - 1\/2*f**4 - 2*f - 1\/3*f**2 + 0 - 2\/15*f**5. Factor g(c).\nAnswer: -2*(c + 1)**2*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2 - 3*z - 8. Is 7 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9697039043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908678901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42692420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190707964 is divided by 46?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 9b6?\nAnswer: 9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 1.8. What is the third smallest value in 4, f, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*o - 5515 + 5191 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -21*i**2 + 2256*i + 90. Calculate r(107).\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*f + 26 = 1, -g + 3*f = 1. Let n = -1 + 2. What is the greatest common divisor of g and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 6*d**2 - 3*d + 3. Let n be j(-6). Find the second derivative of n*l - 48*l - 23*l - 74*l**3 wrt l.\nAnswer: -444*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m - 60*m - 5424 = -128*m for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-288))\/((12\/(-8))\/3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -811e38?\nAnswer: -811e35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:07 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 1. Let z be n(3). Let w(d) = -d**3 + 7*d**2 - 2*d - 5. Let m be w(6). Suppose 3*g = z + m. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1404*t - 24. Let y(q) = 281*q - 5. Give 5*h(c) - 24*y(c).\nAnswer: 276*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = 188. Let j be (35\/10)\/(1\/20). Suppose 0 = -t + 5*y + j, -4*y = t - b - 41. Calculate the greatest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46463851673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 31632.\nAnswer: 1\/10544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-13)\/(-2) + 4)\/(30\/(-80)). Let j(w) = 2*w + 62. Determine j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:36 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.712627 days to hours.\nAnswer: 233.103048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**2 - 107*b + 3458. Calculate u(14).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -23*g + 86 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8599 is divided by 1715?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 41 + -28 + (-1 - 2) + -1 + 30\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266052*w**3*z + 300*w**2*z + 6*w*z wrt w.\nAnswer: -1596312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f + 9*f + 0*f)*(-f**2 - 4*f**2 + 2*f**2) in the form o*f + k + i*f**3 + b*f**2 and give i.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d - d)*(-2 - 2 + 5)*(32 + 283557*d**2 - 283559*d**2 + 3*d + 11*d).\nAnswer: -2*d**3 + 14*d**2 + 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -399*a**2 - 151*a - 197. Give k(2).\nAnswer: -2095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 - 7*p + 3. Let y = 84 - 131. Let b = -55 - y. Let d be h(b). Which is smaller: d or 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661549027.\nAnswer: 181, 281, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94561*i + 58 = 94532*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.76, -26, 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*z = 173*z - 9728. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvva. What is prob of picking 2 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6581042, -6581046, -6581050?\n\"Answer: -4*u - 6581038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 794852462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2 + 20*u + 601. Determine d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*b**4 - b**3 - 34702*b - 10964667?\nAnswer: -76*b**3 - 3*b**2 - 34702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0\/d**17*(d*d*d*d*(d\/d**(-3\/7))\/d)\/d*d**5*d assuming d is positive.\nAnswer: d**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 821339.175 + -830477. Let i = -9271 - k. Let q = 134 + i. Round q to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h - 24*h + 174*h - 58*h - 5.\nAnswer: 53*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11427760*g**3 - 3*g**2 + 22*g - 48535 wrt g?\nAnswer: -68566560*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*g + 65, -2*q + 3*g = g - 32. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**3 + 368505*s**2 - 737025*s + 368515 = 0 for s.\nAnswer: -73703, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5261 - -5264. Let j be (-2)\/5 + 4\/10. Suppose s*f - 7476 = -3*z - 2850, j = z + 5*f - 1538. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-1 + 2)**2*3.\nAnswer: -144*sqrt(7) + 3036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -37. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28320\/(-39648)*(-28)\/(-85)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/19 bigger than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 64050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**3 - 3*d**2 - 18*d - 1. Let r(q) = -8*q**3 + 3*q**2 + 19*q + 1. What is -7*j(l) - 6*r(l)?\nAnswer: -l**3 + 3*l**2 + 12*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 6 = -26*k. Suppose -3*i - i = 5*q - 272, k*i + q - 136 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8 - 217*k + 0 - 8. Let u(m) = 7*m. Let n(z) = -z - 94. Let o be n(-31). What is o*u(d) - 2*l(d)?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 5*s + 39. Let p(a) = a**2 + 3*a + 20. Give 3*g(r) - 5*p(r).\nAnswer: r**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a3 + -4?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(252)\/sqrt(4).\nAnswer: -3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91106080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -59*k**2 + 32*k - 14. Determine w(3).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from vvnvvvvvvpvvvnpvvvnv.\nAnswer: 91\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzaaaaaaaz. What is prob of picking 1 a and 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92120 is divided by 1301.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545547 is divided by 60616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 63 - 32 - 32 + 4*n**2. Let i be h(-1). What is the second derivative of -i*c + 2*c - 2*c + 6*c + 5*c**3 wrt c?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*p + 28*p + 1872. What is the remainder when p is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let s(m) = m**2 + 11*m**b - 9*m**3 + 22 - m**3. What is the units digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 124 = -2*g. Does 41 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 251435370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(1\/11)*l*l)\/(l\/l**(-4\/3)))\/(l*l\/l**(1\/3)*l*l)**(-3\/16) assuming l is positive.\nAnswer: l**(1291\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/15 + 84\/15. Let l be (n\/(-4))\/((-12)\/16). Suppose 6*x = l*h + 2*x + 30, 4*h - x + 53 = 0. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793472611?\nAnswer: 167, 4751333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 6. Let c be g(-5). What is the nearest to c in 2\/7, 1, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 2. Let l be (-1)\/(-3) - (-8)\/3. Let t = l + -7. Let j be z(t). Calculate the highest common divisor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44447.\nAnswer: 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 7, p: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 28 = 2*s, -15 + 5 = -5*s. Suppose 28*y - a = 24*y. Sort 2, -0.2, y in decreasing order.\nAnswer: y, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 8*f**2 - 3*f + 1. Let x be n(5). Let a be 671*(-11)\/22*-2. What is the greatest common factor of x and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (-1 - -9) - 1\/3. Which is smaller: -15347 or b?\nAnswer: -15347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 8. Let i be q(6). Let k = i - 0. Suppose 5*n = 3*x + 338, 2*n + k*x - 74 = 58. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191153197*b**4 + 170299455*b**2.\nAnswer: 4587676728*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/15 + (-432)\/(-5). Let d = q - 214. Let w be d\/(-9) + (-1)\/9. What is the highest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 + -73. Let q = -320 + 324. Suppose -q*k + p = -k. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/47)\/l*l*l)\/(l*l**(3\/10)) assuming l is positive.\nAnswer: l**(309\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*k - 2*k + 1190, 1198 = -2*k - 5*r. Let o = -295 - k. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 3 = -3*f - 4*d, 3*f - 11 = -2*d. Suppose -5*w + 70 = 5*t, 39 = f*t - 3*w - 15. What is the highest common factor of t and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 2 - 2*g**2 + 0*g**2. Suppose -4*i + 3 = -9. What is the units digit of p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 60 = 0. Let f = -57.9 + 58. Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(33)\/sqrt(3)*-5)**2 - (sqrt(121)*2 + sqrt(121))\/sqrt(11)).\nAnswer: -3*sqrt(11) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 3 - 14 + 7 + 2*d**3.\nAnswer: -4*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*i - 37 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-110)\/8)\/(-11)*28 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3)*k*k)**(10\/7))**(1\/27)\/((k*k**(2\/5))\/k*k**(-1\/4))**24 assuming k is positive.\nAnswer: k**(-1034\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -m - 7. Suppose -m*y - 45 = -100. Solve y*h - 9*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697340067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 - 1265798*l**3\/5 - 5063168*l**2\/5 - 1012632*l.\nAnswer: -2*l*(l + 2)**2*(l + 632895)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) - 24*2. Let g = l + 21. Let p = 52 + g. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -0.3 (c) -4\/17 (d) -3 (e) 0.03 (f) -0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2791 = -p + 3*z, -4 = 3*z + 2. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56962289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 29 = -5*y, -2*y - 28 + 60 = 6*p. Solve 4*r = m + 17, -5*r + 39 = p*m + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953312009.\nAnswer: 3, 11, 59191273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.7 + 42.699755. Round i to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:30 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 53*u**6\/30 + 2*u**5\/5 + u**4\/4 - 85*u**3\/6 - 223*u - 2. Find the third derivative of l(i) wrt i.\nAnswer: 1272*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*q + 15, 2*b - 5*b = 4*q + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*q + 5*q - 3*q - 2*q + 5*q - 2*q + (5 - 4 + 2)*(48 - 45 - 2*q - 3*q).\nAnswer: -21*q + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let m(i) = i + 1. Suppose -15 = -6*z + z. Let a(w) = -w**2 + 3*w + 3. Let r(c) = z*m(c) - a(c). What is r(x(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1762*b**2\/9 + 17239412*b\/9 - 39136\/9.\nAnswer: -2*(b - 9784)*(881*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 6 - ((-9 - (4 - 27)) + -4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -366 + 129*q + 268 + 202 wrt q.\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.839051 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36970*m + 36970*m + 4*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 11*y - 8. Let l be b(11). Let p = -8 - l. Let z = p + 5. What is the highest common factor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 229 or 2057\/9?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8\/5, -22654, -3 in descending order.\nAnswer: -8\/5, -2, -3, -22654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1175*j**2 - 2746*j - 2746. Determine v(-1).\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*a - w, 3*a + 2*a - 65 = -5*w. Solve -13*s - a = -8*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 11, -2, 2\/3, -3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 36*a**2 - 4*a - 5. Let i(g) = -73*g**2 + 7*g + 9. What is -4*i(k) - 7*l(k)?\nAnswer: 40*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1.24.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43800 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3 + 339 - 342 - 5*f**3 + f - 23*f**4 wrt f?\nAnswer: -276*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 9*f - 69. Calculate c(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1849\/4 - 460. Find the common denominator of 61\/24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 5, -2.21, -3\/8, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b + 5. Suppose -4*p - 19 = 5*w + 209, -5*p = -b*w + 248. Let g = p + 134. What is the remainder when g is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5054645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 208 - 207. What is the biggest value in w, 11, -1\/6, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 8*z + 42)*(2*z + 1 - 2*z + 26*z).\nAnswer: 208*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.128418197 to 4 decimal places.\nAnswer: 0.1284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((-1*sqrt(396))**2 + -5 + sqrt(396) + sqrt(396)).\nAnswer: 72*sqrt(11) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3, -q + 2 + 7 = x. Suppose 16 = -m + 3*v, 18 = -4*m + 4*v - q. Let k(w) = -2*w**3 + w. What is the units digit of k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r - 3*g - 8, 0 = g. Suppose r*d + 380 = 2*a, -a = -5*d - 187 + 1. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*x - 9, 7*j = -2*x + 2*j - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 27. Let r be (-280)\/12 - q\/6. Does 18 divide 150\/4*r\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -106711*b - 103793 wrt b?\nAnswer: -106711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-3)*((-9)\/(-6) - 3). Calculate the remainder when 11 is divided by -2*(-4 - (s - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 8*f + 2. Let n be u(8). Solve -3*d - 8 = n*s, -6*s + 3*s - 5*d = 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3250186.\nAnswer: 2, 227, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-231)\/(-35))\/((-1)\/(-15)). Let r = 6 - -5. Calculate the highest common factor of r and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v - 13. Suppose v*u = -2*u. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -4*k = 3*g - 21, -13 = -r*k + 5*g + 4. What is the units digit of 168\/(-16)*(-8)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 30*w**2 + 90*w - 18. Let z(c) = 7*c**2 + 20*c - 4. Let m(d) = -2*y(d) + 9*z(d). Let v(p) = 107*p. Give m(v(b)).\nAnswer: 34347*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(15\/(-4)))\/((-8)\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(14)*-1 - sqrt(14)) - (2*sqrt(154))\/sqrt(11))\/(sqrt(448) + (sqrt(448) - (sqrt(448) - 4*(sqrt(448) + sqrt(448)*-2)))) + 0.\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2550 and 1785.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 + 38732*t - 1321512 = 0.\nAnswer: -9717, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 12) in base 9?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 1. Let y(g) = -1 - 1 + 0*g + 7*g. Let w(x) = -k(x) + y(x). Let c(s) = -s**2 + 2*s - 2. Let f be c(2). Let i(l) = -2*l. Give f*w(a) - 9*i(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-12) - 30\/(-8)) + 0. Let r be (-871)\/(-26) + 2\/v. Is r bigger than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98963 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x**2 - x**2 + 7*x**2)*(-11*x**2 - 89 + 89) + 2*x**4 + 2*x**4 - 2*x**4.\nAnswer: 101*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49046631929030 + 49046631929030 - 7*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*k - 3 = 0, -2*x + 0 = -3*k - 3. Suppose x - 16 = -4*n. Let v(l) = l**2 - 4*l + 1. What is the remainder when v(n) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604000 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a - z = -35*a - 23, -11*z + 22 = 2*a - 2*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 32 = -4*v, -52 = 83476*v - 83472*v + 2*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 4*n + 3. Let j be a(3). Suppose 13*z - 18*z + 20 = j. Suppose -z*t = t. Solve t*x + 2*x - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 33600?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -34 + 24*a + 0*a - a**2 - a - 5*a - 38. What is the smallest common multiple of 24 and i(9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6176*d + 6139. What is h(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 19 = y, 0 = -2*y + 4*y - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*r + 183, -q - r = -280 + 81. Calculate the lowest common multiple of q and 56.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/sqrt(20))\/(sqrt(450)\/sqrt(5)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4\/2 - 222*a**3 - 9384*a**2 - 83232*a.\nAnswer: -3*a*(a + 12)*(a + 68)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.9 + -11. Let h = -4.9 + f. Which is the third biggest value? (a) 3\/11 (b) h (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 3543 = -11637. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 24.9. Let q = 1.9 - g. What is the third biggest value in 4, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 - 4*a - 5. Let o be 1\/2 + -9 + (-99)\/(-22). Give i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -f?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (10 + 37 + (-5 - -1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 1085, 1628, 2171, 2714, 3257?\nAnswer: 3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/390 and -15\/4177433.\nAnswer: 125322990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (80083\/53)\/((-1)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 4120*s + 4243600.\nAnswer: (s - 2060)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -s - 373092 + 373094, -1 = -2*s - h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98720 by -9872.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 + -0.05. Let g = -6.1 + 6. Let y = 1 + -1.3. Which is the third smallest value? (a) y (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 138*a. Let b(w) = -13*w. Calculate b(d(m)).\nAnswer: -1794*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 0, -1, -4?\n\"Answer: -k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744824 is divided by 3687.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(100))\/sqrt(10))\/(-1*sqrt(32)) + -1)**2 - (3 + 4 + (sqrt(90)\/sqrt(2) + sqrt(45))*4)**2.\nAnswer: -46843\/16 - 671*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen fifths of a decade in years?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3128, -6844, -13038, -21710, -32860, -46488, -62594?\nAnswer: -81178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 7969150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -23\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/42)\/((1655\/463400)\/(2\/(-75)*1))?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*(-25)\/(825\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -3757, -13269, -31785, -62305, -107829, -171357?\nAnswer: -255889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -7 + 2 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 1 = 3*r, -4*r - 5*s = -10*s - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b - 3*i - 12 = 0, 0 = -i - 1. Let t(q) = -286*q + 12. List the prime factors of t(b).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 19*r**2 - 1387*r - 23. What is f(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 7*i + 20. Let p be q(9). Solve -4*f + x + p = 11, 6 = 2*f - 4*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*x + 1651 = 318 - 623 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4648)\/700 + 7)\/(12\/(-140))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 14*b - 70 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18, -41, -64, -87?\n\"Answer: -23*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 17. Let l = 0.96 + -13.96. Which is the third biggest value? (a) v (b) 0.5 (c) 1\/6 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmm when three letters picked without replacement from {q: 1, m: 8, e: 2, v: 9}.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -12, -5*g - 13 - 7 = -5*v. Let u be (-3)\/1 + (-4 - g). Let x(q) = q**3 + 7. Determine x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/45)\/((-14)\/(-105))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*w - 8. Solve 0*f + 4*f - 2*v - 10 = 0, -w = 2*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9468, 18238, 27006, 35772, 44536, 53298?\n\"Answer: -s**2 + 8773*s + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let m(c) = -3*c**2 + 814339*c. What is m(n(l))?\nAnswer: -3*l**4 - 814339*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21332 = 106659\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/(g\/(g*((g*g**5)\/g)\/g)))\/((g\/((g\/g**(2\/3))\/g))\/g**(-4\/5)) assuming g is positive.\nAnswer: g**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103479*c**4 - 3*c**3 + 791819*c**2 - 8*c - 4 wrt c.\nAnswer: -2483496*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -288 * -9.16.\nAnswer: 2638.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -99076 < -267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14803 - -14808. Solve 2 = -p - 2*k, 5*p - 4*k + g*k + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2635647 and 56.\nAnswer: 21085176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14 - 32 = 0. Solve 4*z + r = 5*d, 0*d = d + z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13224 - -4930775\nAnswer: 4943999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169449786 divided by -7222.\nAnswer: 23463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*u**2 - 95 - 4*u**4 + 2*u + 50*u**2 + 58*u**2 - 153*u**2 + u**4 in the form j*u**2 + a + f*u + k*u**4 + p*u**3 and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 335, 0.2, -3\/10 in increasing order.\nAnswer: -1\/2, -3\/10, 0.2, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.6 - -46. Let k = m - -1.2. What is k rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.51545 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 3\/4 (c) -28\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*t - 4*t + 43, -4*a - 24 = -2*t. Let w = 10 - t. Solve 0 + 0*c + 2\/7*c**3 + w*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p + 5 = 62*p. What are the prime factors of (8\/(-60)*-537)\/(2\/p)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98\/3*s**4 + 10*s**5 - 146*s**2 - 138*s**3 - 176\/3*s - 8 = 0. What is s?\nAnswer: -1, -2\/5, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, -11, 4, -9 in decreasing order.\nAnswer: 4, -0.5, -1, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -36*l - 374 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 - 231*k - 396*k + 6.\nAnswer: -627*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*x + 2 = -7, 9 = r + 4*x. Let n(s) = -3*s**4 - 30*s**3 - 108*s**2 - 180*s - 96. Let j(f) = -3*f. Let a(v) = r*n(v) - 4*j(v). Factor a(o).\nAnswer: -3*(o + 2)**3*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -1.7. Which is the closest to 3? (a) 1 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 427*j - 427*j + 1410*j**2 - j**2 + 0*j**2 + 2*j**2 + (5*j + j - 3*j)*(2*j + 2*j - 3*j).\nAnswer: 1414*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 4*r**3\/3 - 5*r**2\/2 - 13*r + 6. Is h(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12)\/(sqrt(216)*-5) + 5.\nAnswer: -sqrt(2)\/30 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1087290 and 77\/234492210.\nAnswer: 703476630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+128863664\nAnswer: 128863663.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r = -8*r - 11*r + 1368 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.821*-3.\nAnswer: -8.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 41 = 10 - 59 + 10 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9057)\/2*232\/(-348) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 q when three letters picked without replacement from oqqqssoqqoolqnolsn.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/7 + 6*f**3\/7 + 4*f**2\/7.\nAnswer: -2*f**2*(f - 2)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 - (-98)\/(-7))*(-2)\/4. Suppose -a*k = -34*k + 253. Let i(r) = -r**2 + 11*r + 2. Give i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -y + 3*r + 35, 0 = -2*y - 2*r + 50. Let a be (1 - 21\/y)\/(1\/(-16)). Which is smaller: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - 0.02. Let n be 1 + 1 + (-12)\/5. Which is the closest to -2\/3? (a) u (b) 4\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39\/5 - 8. Which is the nearest to 2? (a) -2 (b) -9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48b96 (base 16) to base 15\nAnswer: -5d3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvlggiiiiviglvgii. Give prob of picking 3 g and 1 v.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 5 + 3 + -5. Suppose 4*m + 5*q - 27 = 0, 30 = 3*m + 2*m + 5*q. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvvhuhhvw. What is prob of picking 1 w and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2170 + 2178 = 0. What is the smallest common multiple of h and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222.2 - 222.5. Let v be (-2)\/4 + (2 - 3). Which is the third smallest value? (a) -2 (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {l: 1, o: 1, i: 3, a: 1, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 227. Let q = u - -174. Calculate the greatest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4\/5 (b) 5 (c) -48.2 (d) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/210 + k**6\/30 + k**5\/10 + k**4\/6 + k**3\/6 - 6*k**2. Factor z(d).\nAnswer: (d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 450\/(-110))\/(1\/(-4))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 17 + 3, -7524 = -5*b + 4*o. Let q = b + -998. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2328841665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 268*l - 1240.\nAnswer: -4*(l - 62)*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)*(-4)\/(-56). Let t(x) be the first derivative of -h*x**4 + 1 + 0*x**3 + 0*x + 0*x**2. Factor t(o).\nAnswer: -2*o**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2. Let g(t) = 3*t - 5. Let i(v) = 8*v - 32. Let z(r) = -14*g(r) + 2*i(r). What is m(z(w))?\nAnswer: 3380*w**2 - 1560*w + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 19 = -3*f, -v + 30 = 4*f - 4*v. Let s = 14 - f. Suppose 22 = z - 4*h, -5*h = -z + s*z - 109. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/207 + -409\/1035. Which is the nearest to u? (a) 3 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.68 + -1.825. Let q = k + -0.109. Round q to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2 + 4. Suppose -8*r = -5*r - 45. What is the highest common divisor of h and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -2. Suppose 2*y = b*y + 49000000. What is y rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k + 17. Let u be h(-7). Let r = 25 + u. Suppose -3*z - 122 = -i - r*z, -2*i + 3*z + 253 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 6. Let y be h(6). Let n be 1 - (-6 + 11) - (8*5)\/4. Is n bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 11, -34 in decreasing order.\nAnswer: 11, 0, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**4 - 6*l**2 - 3*l. Let z be 2\/4*(-36)\/(-6). Let i(a) = 7*a**2 + 4*a. Let w(c) = z*i(c) + 4*q(c). Find the third derivative of w(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 41 + 16 - 83 + 7*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (9 - 0) + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 + 1690*h + 10188. Determine y(-6).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o - 3*o)*(-3*o - 6*o + 4*o)*(2*o - 6*o + 3*o) as x*o**3 + n*o**2 + z + r*o and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66*j**5 - 24*j**5 + 133*j**5 + (-2*j**3 + 2*j - 2*j)*(0*j + 0*j + j**2) + 34*j**3 - j**5 + 2*j**4 - 35*j**3 + 0*j**4.\nAnswer: 40*j**5 + 2*j**4 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1044?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y + 40. Let i be ((-16)\/(-10))\/(7\/((-70)\/(-4))). Suppose -3*r - 5 = i*n, -4*r - 5 = n - 2*r. What is the greatest common divisor of y and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 4:58 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.044, 2\/9, -6.7, 1\/3?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 6*y + 18*y)*(4 - 6 - 5)*(2 + 5 - 2).\nAnswer: -560*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:47 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l + 1. Let f be j(0). Factor 0*c**2 - c**2 + f - 3*c - c**2 + 4*c**2.\nAnswer: (c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8464236034990 + -8464229333406.7999978. Let i = -6701581 + r. Let m = i + -2.2. Round m to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/20 and -45\/478?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 342?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28448 - -32437. List the prime factors of l.\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 0*i + 1\/56*i**6 + 0 - 13\/28*i**4 - 8*i**2 - 4\/7*i**3 - 13\/140*i**5. Determine t, given that g(t) = 0.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 2597.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5915)\/1740)\/13 - 2\/(-8). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/63 and -61\/455.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times 289?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + j - 584 = 0, -84*j = -3*x - 81*j + 354. Let u(k) = 5*k**3 - k**2 + k - 2. What is the remainder when (9 - x\/12)*-140 is divided by u(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 76*o - 797. Calculate j(0).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*p = p + 21, -3*p + 11 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.9 - -15. Which is the nearest to 3? (a) -2\/13 (b) f (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)\/(sqrt(11) + sqrt(44)\/sqrt(4)) - sqrt(22) - -1*sqrt(1782))\/(sqrt(2) + 6*-1*sqrt(2) + sqrt(8)\/(sqrt(32)\/sqrt(8))))**2.\nAnswer: 3179\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose 0 = -3*z + 12 - 3. Let a be (1\/z)\/(4\/(-9)). What is the second biggest value in 4, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4066764*z - 1355589*z - 1355589*z - 1355587*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 11, v: 1, i: 1}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Let x = 94.57 + -91. Let d = 3.27 - x. Sort -0.2, t, d, 4 in increasing order.\nAnswer: d, -0.2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j**4*l**3 + 11*j*l**3 + l**3 - 721*l wrt j.\nAnswer: -60*j**3*l**3 + 11*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 619, 2372, 5275, 9334, 14555, 20944?\n\"Answer: v**3 + 569*v**2 + 39*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-35)\/(-10))*(6 - 260\/15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 976*q = -975*q - 21, 0 = 3*q - 51 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14367633 divided by -43.\nAnswer: 334131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4075 is divided by 407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1338552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 271. Let m = t + -137.3. Let p = 0.2 + -0.2. Which is the smallest value? (a) p (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7696 = -14*f + 22*f. What are the prime factors of f?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408)*-1 + sqrt(1408) + sqrt(1408) + sqrt(22))\/(sqrt(11) + sqrt(1100)*-2 + sqrt(11)) + -1*((-3*sqrt(14))\/sqrt(7) + -4)**2.\nAnswer: -49*sqrt(2)\/2 - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-2) + -20 + 172676\/56 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1264\/(-6) - 1\/3. Let s = 311 + c. Let b = s + -70. Calculate the highest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = a + 49, -24973*x + 4*a + 179 = -24970*x - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30c98 (base 13) to base 6\nAnswer: 1514352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (2 - (23 + -32))) + 11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 + 9*l + 3. Let h(a) = 7*a**2 + 9*a + 4 + 11*a - 18*a + 2*a + 8*a. Let b(t) = -3*h(t) + 4*j(t). Let g(k) = 46*k. Calculate b(g(p)).\nAnswer: -2116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10092 divided by 1077\nAnswer: -3364\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 + 1472*z**2 + 4*z - 5888 = 0. Calculate z.\nAnswer: -2, 2, 1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 17 = 5*z, 0 = 1721*z - 1717*z - 12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792 and 15.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496*t - 6 - 986*t + 495*t.\nAnswer: 5*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25\/(-10))\/(2\/(-4)). Suppose 2*r - 57 = 6*r + i*t, 2*t + 48 = -3*r. Find the common denominator of -2 - (4 - r\/20) and 67\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 13. Let w be c(5). Let k = 98 - 45. Let p = k + w. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30102886871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523*w = 560*w - 258704. List the prime factors of w.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13222399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 + -6 + 198\/(-27). Sort 31, n, -213 in descending order.\nAnswer: 31, n, -213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 78*(2 + -3 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.58 + -0.142. Let i = -0.222 - n. Which is the second biggest value? (a) -4 (b) -3 (c) i (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -262955 and -0.5.\nAnswer: -262955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5916530.\nAnswer: 2, 5, 591653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.529 rounded to one decimal place?\nAnswer: 45.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -k - 4*u - 0, -15*k = -21*k - 5*u - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*h - 6*h - 5, h = 2*a - 5. Suppose 3*q - 2 = h*b, -4*b = -0*b - 20. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s + 4*s + 2*s)*(1 - 4 - 9)*(178*s - 90*s - 42*s - 6) as w + o*s + v*s**2 and give v.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*b = 157*b. Let o = -8 - -7.7. What is the third biggest value in -3, o, -3\/4, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.4 - -39. Let d = y + -1.3. Let v = 24.4 - d. Round v to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81212, -81213, -81214, -81215, -81216?\n\"Answer: -h - 81211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 15*s**2 + 36*s - 33. Give y(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -557, -1110, -1663, -2216, -2769, -3322?\nAnswer: -3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(-50)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j + 8. Suppose 2*t + 3*d - 38 = 0, -5*t + 82 = -d + j*d. Solve -4*w = -4*m - t, -2*m - 16 = -5*w - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90? (a) -93 (b) 313 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2 - p**2 - 3 - 2*p - p + 10*p. What is r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -20\/2105319?\nAnswer: -20\/2105319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -633*n**2 - 4249*n - 8499. Determine o(-2).\nAnswer: -2533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72146895 + 72146895 - 101*f.\nAnswer: -101*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 4*n - 9, d + 2 = 2*n. Suppose 3*p + 2*x = n*p + 5705, 0 = -2*p + 5*x + 11446. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 2. Let o = 31216 + -31194. What is the lowest common multiple of f(4) and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 369 - 369 + 31*g**2 - g**3 to the form y*g + x + b*g**3 + f*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000212220100100210 + -2?\nAnswer: -2000212220100100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.23? (a) 28 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o + 63*o + 41*o + 66*o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a02 (base 13) in base 4?\nAnswer: 330301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -193*p + 2502. Let c be f(13). Which is smaller: c or -124\/17?\nAnswer: -124\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 145 = 5*j - 6*i, 0 = -4*j - 3*i + 95. Suppose -24*r + 21*r + j = -o, -2*r - 3*o - 1 = 0. What is the remainder when 40 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -20*g - 343. Let h(i) = -7*i - 115. Determine -3*a(b) + 8*h(b).\nAnswer: 4*b + 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/590804 and -101\/9304?\nAnswer: 1181608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -1 (c) 2\/3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115775*p**2\/4 - 19797515*p\/4 + 855\/2.\nAnswer: -5*(p + 171)*(23155*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 0 - 1\/3*h**3 + h + 0*h**2. Let a(m) = -3*m**2. What is a(d(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 54. Let w be ((-504)\/(-1323))\/(a\/14). Find z, given that -8\/9*z**3 - 4\/9*z**2 + 2\/9*z**5 + 0 + w*z**4 + 2\/3*z = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384577611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**5\/10 + 11*t**3\/3 + 21*t**2. Differentiate h(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 428, 859, 1286, 1709, 2128, 2543, 2954?\n\"Answer: -2*g**2 + 437*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*z - 4*z - 2, -64 = -4*z - 2*f. Find the common denominator of ((86\/(-9))\/(-1))\/2 and z\/28*(-96)\/(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/153?\nAnswer: -4\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 717660984 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:08 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 35 = 2*s, -k + 2*s = 5. Let m(a) = -a + 4. Let o be m(6). Put 9, -5, k, o in decreasing order.\nAnswer: 9, k, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0)**49)**(-39))**10 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 628.71, -4, 1\/2 in decreasing order.\nAnswer: 628.71, 1\/2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -2*v + 33, 4*r + 3*v = -8. Let b = r + 13. Let k = -5 + b. Solve 3*c = -5*s + k + 8, -5*s = 5*c - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3352, -1\/18?\nAnswer: -3352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose 2*v - 5*t = -2*v + 156, -4*t = -a*v + 84. Suppose -s = s - v. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*l**2 - 502*l**2 + 66 + 267*l**2 - 110.\nAnswer: 60*l**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-209)\/((-103037)\/58))\/(72\/34).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9063 and 529788?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36648 and 549720?\nAnswer: 549720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13890907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**3 + 0*h**3 - 3*h**3 - 4*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149 (base 13) to base 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 18808988.\nAnswer: 1\/18808988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 + 3*n + 5. Let f be u(6). Let h = 6 - f. Suppose -3*i - 7 + h = 0. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = a. Let d be 4\/(-6) + (-17)\/(-3). Let l(m) = m**2 - 3*m. Let z be l(d). Calculate the highest common factor of a and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85964 divided by 21491.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128.72599945839 + -128.726. 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: What is the nearest to -11 in 65772, -16, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3253522.\nAnswer: 2, 19, 85619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 1730*j + 1735*j - 3465*j - 604 to r*j**2 + b*j**3 + n + p*j and give n.\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-18))\/(33\/66)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + m = 4, -4 = -50214*l + 50212*l + 4*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 6, h: 1, c: 4, j: 2, x: 3}. What is prob of picking 3 c?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ccccccceccccccee?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = 2*b, 0*b = -3*b + 4*d - 16. Solve 5*k = 2*s + 14, 16 = 4*k - 4*s - b*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 12*a - 16. Determine f(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 - 17.67. Let j = -17.96 - t. Sort 1, j, -2 in descending order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -8, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51002 divided by -930?\nAnswer: 25501\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*j + 7*j - 24, 4*j - 15 = z. Let p = 5\/2 - j. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 104*d - 106*d + 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:13 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 7. Let l be s(-3). Suppose l*v - 3*v = 14. Calculate the least common multiple of 6 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2176) + sqrt(2176))\/(sqrt(10)\/sqrt(5)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2096 and 1208868.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043.695s in nanoseconds?\nAnswer: 1043695000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 c when three letters picked without replacement from rrcrx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-27 - 1305\/(-48)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 - -6.83. Let d = f + -5. Let l = -5 - -5.3. What is the third biggest value in d, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*9\/(-2). Let i(d) = d**3 + 4*d**2 - 3. Let q be i(w). Let a(u) = 3*u + 3. What are the prime factors of a(q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 100309327855174\nAnswer: 100309327855180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s. Let j = 5 + -3. Suppose -2*v = j*v - 16. Solve -w - v = -s*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 6*j)*(48 - 21 + 31) + (0 + 2*j + 0)*(3 - 3 - 2).\nAnswer: 112*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1302 - -2082. Suppose 4*z = 4*d - 6768, 0 = -0*d - 2*d - 2*z + q. List the prime factors of d.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 - ((-9 - ((14 - 5) + -9) - -17) + -5)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 32*j + 61. Let r be w(-2). Let s be (-18)\/(-1816)*(7\/r + 3). Is s > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 18*j + 3. Let m be (-10)\/8 + (-52)\/(-16). Calculate h(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1832914 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2268639 to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828727 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0548 + -5.0548. Let u(q) = q + 8. Let o be u(-8). Suppose o = -7*x + 2*x. Which is the third smallest value? (a) 3 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -14 + 5, -4*z + 15 = o. Suppose m + 5*q - 12 = -0*q, 14 = 4*m + o*q. Suppose m*w = -w + 12. Solve -w*d - 12 = 0, 4*v + d + 3 - 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/5 - 1348*x**3\/5 - 101586*x**2\/5 + 42311024*x\/5 - 1970413088\/5.\nAnswer: -2*(x - 76)**2*(x + 413)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -11. Calculate the remainder when 9 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (10 - 2 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**2 - 864*r + 19760 = 0.\nAnswer: 26, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19\/(-5) + 1)*-70. List the prime factors of -2*(u\/(-8) - -4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:43 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggjgggjgggg?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-99)\/(-6) - 1 - 8\/16. Suppose 2194 = b*l + 169. What is the remainder when l is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4724 = 4686*w + 42212 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5 = 0, 862397*a + 36 = 3*l + 862400*a for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 22*a - 100\/3*a**3 + 31\/3*a**2 + a**4 = 0 for a.\nAnswer: -2\/3, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 92265*w**2 + 424578480*w - 9814174060.\nAnswer: 5*(w - 23)*(w + 9238)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 + 153*j - 817. Calculate m(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -162721650 divided by -3930\nAnswer: 41405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 63376.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 0. Calculate the lowest common multiple of ((-4)\/6)\/((-12)\/42)*6 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35391 * -0.5\nAnswer: 17695.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 440?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285\/734 - 1703\/51380. What is the common denominator of u and (-56)\/(-30) + (-1 - 0)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2000 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1046.8 - -1047. Put 21, p, 8 in ascending order.\nAnswer: p, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncicncncnncnncn. What is prob of picking 3 n?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/3 + 1*7. Suppose -h*n = -n + 12. Suppose 181*t - 384*t = 496*t - 699. Sort -10, t, n in descending order.\nAnswer: t, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.75 - 2.05. Which is the closest to 2\/9? (a) d (b) -12.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 4\/3*o**3 - 8 + 0*o**4 + 0*o**2 + 0*o - 1\/5*o**5. Find the third derivative of d(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7189 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Let h be 8*(10\/(-12))\/o. Let p = -1.2 + 1. What is the biggest value in h, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 40*k**3 + 400*k**2 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.762 - 5\nAnswer: -9.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**4\/12 - 25*k**3\/6 - 24*k**2. Let y be s(23). Calculate the common denominator of 1720\/448 - (-6)\/y and -47\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -29. Let f(g) = -g**2 - 4*g + 7. Give f(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1*sqrt(242) + -5)*4 - (2*sqrt(242) + 0 + -2)*1)*4)**2.\nAnswer: 38016*sqrt(2) + 144576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w + 35. Let r be q(-9). Let z = 30 + r. What is the remainder when 9 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432827 and 11363?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = -2. Let k = -242 + 251.75. Let t = k - 7.05. Which is the third smallest value? (a) d (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -657, -986, -1315, -1644?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -9460\/1473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5947 by -20563.\nAnswer: -5947\/20563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 858 * -0.1.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 7, x: 1, g: 1, k: 1, h: 5}. What is prob of picking 1 h and 1 k?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10642022 to the nearest integer?\nAnswer: 3262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s + 5. Let d(f) = f - 1. Suppose -2*v + 6 = 8. Let h(c) = v*b(c) - 2*d(c). What is the tens digit of h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) 0.4 (c) 3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35674 and 249718.\nAnswer: 249718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 466 + -468. Which is the biggest value? (a) 1 (b) -0.9 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3583 and 52\/777511.\nAnswer: 777511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -14*q**5\/15 + q**4\/24 + 172*q**2 - q. Let t(f) = f. Calculate t(i(v)).\nAnswer: -56*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - 3*r**5 + 4*r**5 + (-4 + 4 + 2*r)*(-5*r**4 - r**4 + 5*r**4) + (2*r + 0*r - 4*r)*(r**4 + 0*r**4 - 2*r**4) - 5*r**5 - 3*r**5 + 3*r**5.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 196864180 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2*u**2 - 5 - 4*u**2 - 17060*u + 17060*u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(297) - (sqrt(297) + sqrt(297)*2))\/sqrt(9) + -5*sqrt(165)\/sqrt(5))\/(-5*sqrt(12)*6))**2.\nAnswer: 539\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - x = -5354 + 5402, -44 = -22*x for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1582 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 5*v + 2. Let i be g(-3). Let z be ((-20)\/(-12))\/i + 4\/(-24). Which is the fourth smallest value? (a) 4 (b) 2.9 (c) z (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 562451155*b**3*v*x**3 - 11*b**2*v*x**2 - 51*b**2*v*x - b + 1088*v*x**2 - 2*v + x**3 + 1 wrt b.\nAnswer: 3374706930*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3008964890 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2245 - -5?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 769*q**2 - 5*q + 773*q**2 - 1 to the form x + h*q**2 + f*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r = 281*r - 3791 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-4)*(-4)\/(-3). Suppose -t + i*t = 40. Suppose -2*o + t = 2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + 3 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8265 + -7845. Calculate the lowest common multiple of y and 300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*f - 3*f + 2*i, -5*i - 7 = -f. Calculate the smallest common multiple of 44 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 1. Suppose 0 = 2*w - 4*h + 2464, -2*w + 7*h - 4*h - 2460 = 0. Let n = w - -1244. Solve 2*o - q = -0*o + z, -5*o - 5*q - n = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 3*u**2 + 4*u - 9. Let c be d(3). Factor -10*s**2 + 49 - 13 + 7*s**2 - s + 25*s - 3*s**c.\nAnswer: -3*(s - 3)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 1, h: 4, x: 5, i: 3}. What is prob of picking 1 h and 2 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286583 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50045 + 0.05\nAnswer: 50045.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 3. Let f be s\/1*6\/9. Suppose -f*w + 3 = 3*r + 3*w, 5*r - w - 33 = 0. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from wnnwwntnwnnwtwwnnt?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.0762025 to two dps.\nAnswer: -39.08","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 14. Let a(z) = -3 - 4*z - 4 - z**2 + 3 + 1. Give a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -10, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -y - 260. Calculate the remainder when 71 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/140 - 13*j**5\/420 - j**4\/21 - j**3\/42 + 26*j**2. Factor t(k).\nAnswer: -(k + 1)**2*(6*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1550, 1562, 1578, 1598, 1622?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/5 - 48*w**2\/5 - 30*w + 40 = 0. What is w?\nAnswer: -20, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**3 + 12*f**2 - 12*f**2)*(984940 + 1557*f - 984940) in the form h + z*f**2 + x*f**3 + n*f**4 + u*f and give n.\nAnswer: 1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 + 3*b - 207. Determine q(0).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 676031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-0.16\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 7*h**2 + 2*h - 10. Let f be r(7). Suppose -f*k + 21995 = 5*z, 3*k - 5*z - 3356 - 13149 = 0. What is k rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 5*y - 4*y + (-4*y + 0*y + 3*y)*(-1 + 4 - 1) + (3*y + y - 3*y)*(0 + 6 - 4) + (47 - 104 - 86)*(-1 + 2*y + 1).\nAnswer: -287*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6779 - -6780. Let r be 2\/(-11) - 30\/77. Put 0, u, r in ascending order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 5\/2. Suppose o + 1 = -3*t, 3*o = 6*o - 15. Let f = 11.8 + -12.2. Which is the nearest to t? (a) x (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 + 535*l - 3220. Give t(6).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/3 - 47. Let h(a) be the third derivative of -a**2 - 1\/60*a**5 + 1\/24*a**4 + 0*a + 0 + v*a**3. What is h(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*f + 38 = 0, -5*g - 17 = -3*g - f. Which is smaller: -17\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 24. Let w be r(8). Suppose 5*h - w - 7 = 0. What is the remainder when 7 is divided by h - 3\/(9\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001011001 (base 2) in base 14?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (0\/(-4))\/(-1) - -13. Let d(x) = 2*x**2 - 6*x. Let a(p) = -4*p**2 + 11*p. Let k(b) = i*d(b) + 6*a(b). Let z(f) = 18*f**2 + 2. Determine k(z(m)).\nAnswer: -648*m**4 - 144*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -4 (c) -199.7 (d) 0.6 (e) -1435 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4601 + 14639. List the prime factors of j.\nAnswer: 2, 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/508608 and 51\/14.\nAnswer: 3560256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1606.952 + -1619. Let v = y + 12. Round v to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*2*sqrt(88) + sqrt(88)*1*3)\/(sqrt(72)*-1*6).\nAnswer: -25*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103101233020 (base 4) in base 9?\nAnswer: -10451841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128953\/13 + 9919. Let a(c) = c**2 + 7*c + 8. Let g be a(-6). Let v be (g\/10)\/(2\/4). Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/4 + -2)\/((-15)\/(-12)). Let m be ((-1984)\/(-186))\/(o\/9). Solve -m = 5*r - 5*u - 8, -r - 3*u = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -5)*(-356)\/(-3)*((-315)\/(-180) - 1).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/573523?\nAnswer: 6\/573523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3450)\/(-12650) - 245\/1705?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t - 3498 = -24 - 668 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5466*r + 7440 = -5094*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -80*a**3 - 5*a**2 - 70*a - 107. Let d be q(-5). Is 10118 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1481315 and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1) + ((-910)\/28)\/(-13).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 4, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 628.1395ml?\nAnswer: 0.6281395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/201, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -129235590 divided by -5?\nAnswer: 25847118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -793?\nAnswer: -317.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 36 = -3. Suppose -3*x + 5*v + 5 = -x, x + v - j = 0. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-1))\/f)\/f*f*f**(-1\/9)\/f)\/(f**2*f*f*(f*f**(2\/9))\/f*f))\/((f*f**5\/f)\/f**(-2\/5))**(4\/7) assuming f is positive.\nAnswer: f**(-884\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2005 - 807.7995. Let w = i + 807. Let u = 27 - 107\/4. Which is the smallest value? (a) w (b) 4 (c) -4\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 255?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 137564*-5\nAnswer: -687820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 7*q + 32. What is the remainder when s(14) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(-f + 2 - 2) + (0*f + 5*f + 0*f)*(3 - 2 + 2).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-135)*(-3)\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let d = 1.24 - -1.76. What is the closest to d in b, -2\/3, 4\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 - 14*u - 20. Let y be s(-5). Let m = 838\/187 - 48\/11. Which is the nearest to 0.1? (a) y (b) -1\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254329371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 d, and 1 y when four letters picked without replacement from lyyylyymdymymyyyyyy.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/o*o\/o**(-2)*o)**(11\/6)*((o**1*o)\/o**(-1))**34 assuming o is positive.\nAnswer: o**(2569\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640674173 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-4) + (-1)\/4. What is the third derivative of -6 - 2*x**4 - 3*x**2 + r + 2 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2 - 237*o + 3020.\nAnswer: -4*o - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*l*z**4 + 3*l*z**2 + 12*l - 8593*z**3 - 3836*z**2 - 26 wrt z.\nAnswer: -528*l*z - 51558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*i - 4 = 0, 4*c + c - 4*i = 7. Solve 5*z - 18 = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418 + 493 - 1504 - 9*k + 490 to the form j*k + d and give d.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = z, -22 = -5*z - 3*m + 43. Let i be (8\/28)\/((280\/(-1519))\/(-10)). Is z >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 991, 1906, 2677, 3232, 3499, 3406, 2881?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Solve 2*g - 2 = d*v, -5*g - 13 + 0 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 895891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529 + -304. Let q = p + -370. Which is bigger: -144 or q?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 1861 - 2564. Let s = -1010 - -1014. Suppose -s*r = -c - 791. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21076 is divided by 102?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*k + 4*m, -k = -2*m + 6*m + 10. Suppose 2*o = d + 15 + 4, 0 = -3*o - k*d + 39. Let f(p) = 3 + 24*p - 12*p - o*p. Give f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/2 + (-272)\/(-85)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3101 - 3100. What is the third smallest value in -3, 11, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 646 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3572?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/12 - (-16842)\/9. Let r = x - -1119. Let w = r - 1622. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/6 + p**3\/3 + 2*p**2\/3 - p\/3 - 1\/2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 10*d - 16. Let z be u(7). Put 1, z, 4 in ascending order.\nAnswer: 1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7115 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201837?\nAnswer: 5201837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p + 69000. Let v(k) = k + 1. Let z be v(-2). Let o = -1 - z. Let j be u(o). Round j to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1692\/(-9400)*(-150)\/5?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1698\/7 - -243. What is the nearest to -1 in 0.17, n, -3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2435*v**2 + 668*v - 668*v.\nAnswer: 2435*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 6. Let g be n(-3). Solve -g*k = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - -6) - (-12 - -9 - -14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.409333 millennia?\nAnswer: 76911.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {n: 5, a: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 377\/5. Let w = -429.5 - -430. Which is the closest to w? (a) -4\/7 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520.3074 weeks to days.\nAnswer: 3642.1518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 - 35*j**3 + 20*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099764919?\nAnswer: 11, 467, 214087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 - 0.04. Let u = 78.068 + -78. Let d = u - 4.068. What is the third smallest value in d, 0.4, -1\/6, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -47607169?\nAnswer: -47607161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.25, 390, -2\/11, -3, 43\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -478870\nAnswer: 11\/478870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235 and 24191840.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1626*j**2 + 6490*j**2 - 1624*j**2 - 1621*j**2 - 1624*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 - 329*x**2 + 5. Let r(v) = -10*v**3 + 980*v**2 - 14. Determine -5*r(i) - 14*s(i).\nAnswer: -6*i**3 - 294*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1018*t + 27721. Give s(27).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-9)*u**(-2\/63)*(u\/((u*u**(-1\/4))\/u))**(10\/9) assuming u is positive.\nAnswer: u**(-107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11))**(-1\/9)\/(b*b**(-3\/10)*b**(-2\/13)) assuming b is positive.\nAnswer: b**(-7289\/12870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*i + i + 32, 41 = 4*h + i. Let a = -7 + h. Suppose 0 = k - 1 - 3. Solve 0 = 3*s + k*q - a, -4*q + 4 = -3*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 8. What is the tens digit of v\/(-2)*-6 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/7525 - 52811\/511700. Is r equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1198*o**2. Let r(w) be the first derivative of -2*w**3\/3 - 2095. Give t(r(q)).\nAnswer: -4792*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -226792\nAnswer: -27\/226792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601344434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 10. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let v(l) = -159*l. Calculate v(j(i)).\nAnswer: -159*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 291. Let x(g) = 2*g + 152. What is -3*d(j) + 5*x(j)?\nAnswer: j - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/90 - 71175\/43875\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -142a (base 13) to base 16\nAnswer: -b5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37978 (base 15) in base 9?\nAnswer: 300605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13686 times 0.1\nAnswer: -1368.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 8. Let q be j(8). Let v be ((-1)\/(-1))\/(1\/9). Let a = 16 - v. Solve c + 2 - a = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181435756246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 345433333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - 4*h**2 - 4*h + 262. Let i(k) = 6*k**3 - 5*k**2 - 5*k + 261. What is -4*i(b) + 5*o(b)?\nAnswer: b**3 + 266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5052, -5077, -5102, -5127?\n\"Answer: -25*g - 5027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224606, 449218, 673830, 898442, 1123054, 1347666?\nAnswer: 1572278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11465988 and 95022?\nAnswer: 34397964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*h*n**3 - h*n**2 - 5*h*n - 2*h wrt n?\nAnswer: 378*h*n - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114314184 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114098662 divided by 1751.\nAnswer: 65162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**2 + 10*w**2 + 6*w**2 - 17*w**2 - 4*w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) -5\/117 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 5*u - 2*o = 4, -3*o + 22 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and (5 - (-94)\/(-14))*-70.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14310173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.3, -557, -2, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 351 + 81*f - 351 in the form o + s*f and give s.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 6) + 25 + (16 - -9)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + 6*k**2 - 15 + 95 - k**2 - k as m*k**2 + f + c*k and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/10 + (-12)\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 + (-7 - -14) + -5 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*i + 424*i**3 - 828*i**3 + 418*i**3 as u + n*i + b*i**3 + m*i**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 13 + 17 + 2*l**5)*(-2 + 5 - 4)*(-7 + 14 + 5).\nAnswer: -24*l**5 + 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/257 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 + 9*p + 4. Let j be l(9). Suppose j*y - 36 - 68 = 0. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/3 - 1728*x + 1119744 = 0.\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 792.1218 kilograms?\nAnswer: 0.7921218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 34*f**2 + 4. Let i(g) = 0*g + g + 2*g + 5*g - 7*g. Give i(h(l)).\nAnswer: 34*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*j + 8 = -2*b, -3*b - 5*j = -10. Suppose b = -z + 24 - 20. Factor -1\/4*x + 1\/4*x**3 - 1\/4*x**2 + 0 + 1\/4*x**z.\nAnswer: x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 697, 5 in increasing order.\nAnswer: 5, 42, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*o - 1541 - 106 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214678 by -107339.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1.1 (c) 3573\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -61.96. Let h = 0.04 - o. Let s = -3 + h. Which is the third smallest value? (a) s (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-24)\/11)*(-56)\/84*90.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from fqrfrrfrper?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, p: 10, r: 2}. Give prob of sequence ph.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1150*l + 152. Let f be a(-25). What is the units digit of f\/17 + 50\/(-425)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 6528?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 45750*q - 91508.\nAnswer: 2*(q - 2)*(q + 22877)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**5 + t**2 - 1. Let p(c) = 4*c**4 - 8*c**3 - 14*c**2 - 2. Let s(x) = -p(x) + 2*q(x). Factor s(m).\nAnswer: -2*m**2*(m - 2)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 8*p - 5. Let c be t(-7). Suppose -v - c + 5 = 0. Solve v*f - 23 = -3*l - l, -5 = -2*l + 5*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 23 - 8. Suppose -y*g + 30 = 2*g. Let d(q) = 2*q**2 + 3*q - 17. What is the remainder when g is divided by d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-35)\/(-56))*(-23)\/((-7728)\/126).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98\/5 or 21?\nAnswer: 98\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 6. Suppose -2*k = -k - s. Let a = -3 + k. Calculate the smallest common multiple of 4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -h - 15. Suppose 3*f + h = 2*f. Does 6 divide f\/9 - (-1088)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*k + 563, 6*i - k = 2*i - 464. Let c = -109 - i. Solve g - c + 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - 193.51228.\nAnswer: -241.51228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -56, -63, -52, -17?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128469 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 18 = 4*v. Let a(d) = d**3 - 2*d**2 - 2*d - 2. Let w be a(v). Let j = 61 - w. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 32, -193.\nAnswer: -193, -5, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(448) + -1) + sqrt(448) + 5 + -2 + sqrt(448))**2.\nAnswer: -384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302598.\nAnswer: 2, 17, 126547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5647834057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 575?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 2:03 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 240.6938105 - 210.69382. Let v = -30 + s. What is v rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3279*g - 2375*g - 18080 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276792379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/48)\/(2\/(-16)). Let i(j) = -j**2 + 20*j - 82. Let s be i(m). Suppose -5*f + 5*z + 10 = 0, 5*z = -4*f - 0*z + 8. Solve -s*w = -0 - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*(-15870)\/(-805)*7\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2\/5 (c) 0.028 (d) 4822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -575, -1092, -1769, -2618, -3651, -4880, -6317?\nAnswer: -7974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 6*b**2 - b**2 - 8 - 4*b**2. Is a(9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*i + 24 = 0, -5*i + 27 = 2*l - 1. Suppose -l*d = 19 + 77. Find the common denominator of -63\/4 and 1\/(-2) + d\/33.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**4 - q**3 + q. Let u(r) = 50*r**2 - r**3 - 2*r - 29*r**3 + 4*r**4 + 12*r**3. Let y(o) = -2*l(o) - u(o). Suppose y(s) = 0. Calculate s.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*p - 85*p + 41*p + (-4 + 5 - 10)*(-2*p + 3*p + p) as a*p + g and give a.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 118, 322, 608?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3439 - 3437. Calculate the remainder when 419 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4 - 9 - 7 - 28*a - 6*a**2 + 4*a**2. Is 9 a factor of m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -15. What is the least common multiple of 6 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/9)\/(244\/7686). Which is the third biggest value? (a) 8 (b) l (c) -2\/5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 29 = -5*j, -3*d + 3*j + 33 = 54 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, u: 4, h: 9, y: 1}. What is prob of sequence yii?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3808226022.\nAnswer: 2, 3, 11933, 53189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.641 + 0.341. Which is the nearest to 1? (a) n (b) 1 (c) 6\/11 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-1)\/3)\/(-2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 14*n**2 + 73*n - 785. Determine z(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 8*y + 2. Let n be z(8). Suppose 6*d - n*d = -5*j + 104, -4*d - 136 = -5*j. Let r = -7 + j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*p - 2*r - 17, 16 = 3*p - 4*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 1 + 24*h**3 + 2*h**3.\nAnswer: 26*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 24*m**4 - 54*m**3 - 48*m**2 - 15*m = 0. What is m?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531.0454 nanometers to millimeters.\nAnswer: 0.0005310454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4 - 530\/1272.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*m - 3, 3*o - 2*m - 22 = o. Let k be 8\/12 - (-2684)\/o. Let w be 7\/(147\/(-56250))*k. Round w to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -890 + 2287. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**8\/504 + w**7\/945 - w**6\/30 + w**5\/15 - w**4\/108 - w**3\/9 - 64*w**2. Find j such that l(j) = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1083*t**4 - 453*t**4 + 123*t**4)*(-t - 4*t - t).\nAnswer: 8478*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000121 - 201011?\nAnswer: 1022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 101 = g + 24 - 34, -9*g = 2*v - 74 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107965 (base 12) to base 3.\nAnswer: 111022210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806 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: Find the third derivative of -642*v**3 - 2161*v**2 wrt v.\nAnswer: -3852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 3. Let f(y) be the first derivative of y - 1. Let t(p) = -6*f(p) - z(p). What is the tens digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 4. Let n(i) = -2*i - 2. Suppose -16*x = -12*x + 18*l - 24, 2*l = -2*x - 2. Calculate x*k(z) + 7*n(z).\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = j - 2. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11879205599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 - (78 - (-33516)\/(-432)))*24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214*a**2*f*l**3 + 135*a**2*l + 18*a*f + 3975*f*l**3 - 2*f*l**2 + 264*f*l - f wrt a?\nAnswer: 428*a*f*l**3 + 270*a*l + 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose 0 - 24 = -8*y. Suppose -y*u + 12 = 3*q, -w*q + 28 = q - u. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 3, w: 3, y: 6, b: 1}. What is prob of picking 1 p and 1 y?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*u + 28, 10*s + 64 = 13*s - 4*u. Calculate the remainder when (-113)\/(-3) + (-3)\/(-9) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23480 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 20. Let r = 178 + -122. What is the highest common divisor of r and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2125 + 10890. What are the prime factors of l?\nAnswer: 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201222102211210 (base 3) in base 13?\nAnswer: 2279b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -4*m**3\/3 + 29*m**2 + 30*m + 529. Solve w(x) = 0.\nAnswer: -1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/15)\/((-1)\/3). Let z be (k + -7)*(50\/4)\/5. Let s be ((-234)\/z + -6)\/(3\/10). Is -1\/4 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 27 - 1)*(-h + h + 2*h**2).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 8*m**3 - 10*m**3 + 0*m**2 + 25*m - 14*m + 0*m**2 to s*m + a*m**3 + l + g*m**4 + f*m**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/((-6)\/16). Let h be w\/(-14) + (-825)\/(-21). Suppose 2*j - h = -j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 5*i**2 - 7*i - 2. What is the remainder when 4 is divided by h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**21\/(g**(1\/4)*g) assuming g is positive.\nAnswer: g**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 12*i + 22. Let j be k(10). What are the prime factors of (6 + -3)*(j - -35)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)\/r**7*r**(-3\/2)*r**5)**(-5\/4) assuming r is positive.\nAnswer: r**(85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 48, 144, 330, 636?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0126 + 0.0126. Which is the nearest to -5? (a) -4 (b) w (c) -2.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-8)\/6. Suppose -2 = -62*v + 66*v - 5*c, 0 = 5*v + 4*c - 18. Determine i so that -17*i - 2 - 6 - 551*i**v - i**3 + 541*i**l = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -54 (c) -1 (d) -38 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245041853?\nAnswer: 7, 35005979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f**4 - f + 12*f**4 - 2 + 7 - 4*f**3 to d*f**4 + k + o*f**3 + b*f**2 + w*f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 256, 526, 796, 1066, 1336?\n\"Answer: 270*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 2*d**2 + 3*d + 155. Let z be l(0). Let v = z - 153. Suppose p = 3*p - 4. Solve -3*u - x - 4*x = -11, -p*x + v = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -268*x**3\/3 + 305*x - 203. Find the first derivative of f(s) wrt s.\nAnswer: -536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 2*c**3 - c**3 - 359.\nAnswer: -2*c**3 - 359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10*1.76227\nAnswer: -17.6227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -211*r + 1. Let x(n) = 5990*n + 6. What is q(x(d))?\nAnswer: -1263890*d - 1265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*s - 1348*s - 6393 - 75117 for s.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 237098097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:08 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259402 and 88.\nAnswer: 1037608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**2 - 24\/7*d + 2\/7*d**3 - 32\/7.\nAnswer: 2*(d - 4)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28947703.4 rounded to the nearest 100000?\nAnswer: -28900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - k - 177 = 0, -49*c + 2117 = 12662*k - 12664*k for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -343, -4, 2137\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from eeeeeeeeeehh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3)\/h*h*h**14)\/(h**(-3\/16)*h**(-5\/6)))**(-12\/7) assuming h is positive.\nAnswer: h**(-737\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157\/198 - -11\/18. Which is the closest to -74? (a) w (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmjzzemmepsj. What is prob of sequence pz?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 6, t: 8}. What is prob of picking 2 t, 1 g, and 1 r?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 - 2*r**2 + 2*r + 2. Let o be f(2). Calculate the greatest common factor of 33 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b**2 + 4*b**2 - 3*b**2 + 0*b**2. Let r(a) = -a. Give r(g(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 + p**4\/12 + p**3\/6 + 20*p**2. Give y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -662, -2637, -5930, -10541, -16470, -23717?\n\"Answer: -659*t**2 + 2*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w + 3. Let p = 652 - 644. Suppose -7*r + 8*r = p*r. Does w = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.59 + -1131.41. Let h = 1154 + p. Let d = 1 + -2. Which is the biggest value? (a) d (b) h (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 - 2*h. Calculate y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5\/5 + 31*g**4\/5 + 16*g**3 - 112*g**2\/5 = 0.\nAnswer: -28, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 0, -r - 5*x + 362 = 0. Let h = 568 - r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(9)\/sqrt(3)*-6)**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -4533.107380291.\nAnswer: -4533.607380291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * 0.78\nAnswer: -1.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476, -1400, -3022, -5402, -8600, -12676?\nAnswer: -17690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**3 - 6*s - 96. Let g = -174 + 178. Let u(t) = -11*t**3 + 13*t + 193. Let r(a) = g*u(a) + 9*m(a). Differentiate r(i) wrt i.\nAnswer: 30*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 + -412231?\nAnswer: -412401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 46)\/((-19)\/(-95))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 310 - 310. Let m = -758 + 753. Which is the closest to z? (a) m (b) 2\/17 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 5*z**2 + 4*z - 6. Let x(n) = -3*n - 14. Let m be x(-3). What is u(m)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 18*y + 153. Let g be 5 + (1 - 7) + -7. List the prime factors of c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 2*a**4 - 3*a**4 + 2 - 2 - 2*a**4 + (-4*a**3 + 0*a**3 + 2*a**3)*(6*a - 5*a + 2*a) - 4*a**2 - 2*a**4 + 4*a**2.\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -9558\/5*t**2 + 0 + 94\/5*t**4 - 8748\/5*t - 2\/5*t**5 - 714\/5*t**3 = 0. What is t?\nAnswer: -6, -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 37 - 9. Suppose -a*b + 17456 = -30572. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -12.32.\nAnswer: -9.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3289407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111503 and 62118?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/9 - 2*h**3\/3 - 476*h**2\/9 + 848*h\/3 + 768 = 0.\nAnswer: -16, -2, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89226*r**3 - 1035 - 89228*r**3 - 1040)*(3*r - 3*r + 3*r) to the form g*r**3 + m*r**4 + d + s*r**2 + t*r and give t.\nAnswer: -6225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3959 - 3943 = 0. What is the remainder when 42 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-14 + 6 + -9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -b + 1849, 0*c + 5*c = 10. Suppose z = 6*z - b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 7*g**2 + 6*g - 2. Let j be q(4). Let n = j + 38. What is the smallest common multiple of n and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 949 or 953?\nAnswer: 949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32256414 divided by 298?\nAnswer: -108243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 6, -19, -64, -129, -214?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p - 2. Give z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + a**2 + 3*a)*(3*a**2 - 2*a**2 + 0*a**2) + a**4 + a**4 + 6*a**4 as x*a**4 + s*a**3 + z*a + n + j*a**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, 1 z, and 1 b when four letters picked without replacement from jdbldnzb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844*p + 7053 = -16579 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*c + 67 = 57, -2*p + 2 = -2*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1886399 is divided by 455?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1063 or 1064?\nAnswer: 1064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((777\/(-798))\/(-37))\/(8\/32)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40709 and -4377763750.\nAnswer: -4377804459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 70. Let y = r - -36.9999944. Round y to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82408, -82480, -82588, -82732?\nAnswer: -82912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 12*y + 7. Let l(m) = -m**2 - m - 1. Let h(t) = j(t) - 2*l(t). Let g be h(7). Let v(w) = w**3 + 13*w**2 + 7*w + 3. Is 21 a factor of v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2*l**5\/5 - 16*l**4 - 170*l**3 + 32*l**2 + 512*l + 1255. Suppose q(u) = 0. What is u?\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 + 31660*z**3 + 3209664*z**2 + 18118656*z = 0 for z.\nAnswer: -15728, -96, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/26)\/8 - (-35)\/117. Which is the third smallest value? (a) 6\/119 (b) -0.01 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*j**3*s - 837*j**3 + j*s + 5039*j - 2 wrt j.\nAnswer: -114*j*s - 5022*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/282 and 32\/2679?\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9707\/3 + -3233. Let s(v) be the second derivative of 0 - 10*v - 4*v**2 - m*v**3. What is the first derivative of s(o) wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2643 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: Let u(z) = 2*z + 94 - 101 - 3*z. What is u(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - (-1 - -21)) + (11020 - 11021).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 13 = 120*o - 122*o, 0 = -q + 4*o - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3547, -3963, -4379, -4795, -5211, -5627?\nAnswer: -6043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304*f - 46890*f**3 - 304*f.\nAnswer: -46890*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(2430\/15228).\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {t: 1, j: 1, r: 3, o: 3, n: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -7*s**4\/24 - 4*s**2. Is 21 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 19, 0.0162, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((-2 - -3) + -5)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 8*h - 6 - 1 in the form o*h + t and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -902, -900, -896, -890, -882, -872?\n\"Answer: j**2 - j - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 equal to 262416\/2231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.41 + 4.41. Which is the fourth smallest value? (a) -8 (b) 0 (c) o (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*u**3 + 296*c*u**2 - 822*c - 3*u**2 + 1 wrt u.\nAnswer: 3*c*u**2 + 592*c*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/(10\/60*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2)\/j)\/j)**(6\/23))**24 assuming j is positive.\nAnswer: j**(-576\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.490787l?\nAnswer: 7490.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 534293.1 milliseconds?\nAnswer: 8.904885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + x + 1 = 0, -5*y + 3*x + 2*x = 10. Is y at least as big as 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let d = -19 + 12. Let z(o) = 13*o. Let a(w) = 4*w. Let g(p) = d*a(p) + 2*z(p). What is x(g(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 3*j - 2 - 2*j)*((4 + j - 4)*(-1 + 1 + j) + (-3*j + 0*j + 4*j)*(-2*j + j - j) + (1 - 1 - 3*j)*(7*j + 10 - 10)).\nAnswer: -66*j**3 + 44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23666521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 19*u**2 + 8*u + 8. What is a(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b**2 + 2. Let y(x) = -3*x**2 + x + 23. Calculate y(q(o)).\nAnswer: -300*o**4 - 110*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2200\/(-14) + 3\/21. Let m = l + 165. Solve 2*j - m*j - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11250, -27334, -43416, -59490, -75550?\nAnswer: -91590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2119*n + 12172. Determine b(8).\nAnswer: -4780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186331537*x**3 - 12*x**2 - 4739505*x - 2?\nAnswer: 1117989222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*w**4 + 6*w**2 + 3*w**3 + 0*w + 0 + 9\/4*w**5.\nAnswer: 3*w**2*(w - 2)**2*(3*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(2\/9))*x)\/(x\/(x\/x**(2\/5)))*x**(-1\/2)\/x**(3\/2) assuming x is positive.\nAnswer: x**(-73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7548897?\nAnswer: 3, 2516299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = j - 6. Suppose 2*v = 5*o + 115, -3*o - 10 = -j. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -27816, 0.1, -122, 0.04?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**6*u - 128*p**5*u + 2*p**3 + p**2 - 2*p + 82*u wrt p?\nAnswer: 240*p**3*u - 7680*p**2*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:41 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1575, 3153, 4733, 6321, 7923, 9545?\n\"Answer: q**3 - 5*q**2 + 1586*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -81*l**2 + 2*l. Let p(x) = 255*x + 33. Let f(q) = -31*q - 4. Let a(o) = 33*f(o) + 4*p(o). Give n(a(c)).\nAnswer: -729*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/9 (b) -0.06 (c) 1\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1659.2 + -1660.2. Which is the third smallest value? (a) 2 (b) -0.3 (c) -1.9 (d) p (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 162383729.3141.\nAnswer: 162383731.3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(80\/(-1526484)))\/((-123)\/(-164)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 2*s - 1. Let c be (4 + -1)*(-2)\/6. Let z(t) = -t**3 + t**2 + t - 1. Suppose -2*l = -j + 3, 3*l + 10 = 5*j - 2*l. Give c*z(v) + j*a(v).\nAnswer: v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*f - 5*f**3 - 3*f**3 + 6*f**3 - 5 to the form i*f**3 + p*f + z*f**2 + s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2849347 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25087.1228 rounded to the nearest one hundred?\nAnswer: 25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2256923777 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4914019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - -31. Let h = i - 148. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s + 0*s - 3*s**2 + 3*s**2 + 2*s**3 - 3*s**3 - s**3 + 3*s**3 + (-2*s**2 + 0*s**2 + s**2)*(-1 - 2*s + 1) + 0*s**3 + s**3 + s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + u + 2*u + 2*u - 2*u - 3*u - u + 5 - 5 + u - 3*u + 4*u + (4 - u - 4)*(2 - 2 - 1) + 4 - u - 4 - 13*u + 6*u - 49*u to j + c*u and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8393320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**3 + 0*c**3 - 26*c**2 + 28*c**2. Let d be f(2). Let a = d + 48. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((((k*k**(8\/5)\/k)\/k*k)\/k)\/k)*((k**(-8)*k)\/k)\/k*k\/(k**(1\/10)\/k)*k*k*k**(-5\/2))**(12\/19) assuming k is positive.\nAnswer: k**(-372\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1236, 1209, 1176, 1137, 1092, 1041, 984?\n\"Answer: -3*i**2 - 18*i + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -186 - 34. Calculate the greatest common factor of 30 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 49*j**5\/20 + 61*j**4\/6 - 136*j. Find the third derivative of c(f) wrt f.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 334, 720, 1254?\nAnswer: 1936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - -3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-56) + 2812\/(-32). Which is smaller: -87 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1338249*t + 132227.\nAnswer: -1338249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 498446 to the power of 1\/2, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1236 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)\/t*t**8\/t)**(-2\/3)\/((t*t**(-1\/10)*t**(-2\/9)\/t)\/(t**(-3\/2)\/t**(-8))) assuming t is positive.\nAnswer: t**(307\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 + 289. Let l = -86.2 + t. Which is the closest to 1? (a) -0.2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17632)\/(-1102))\/((1\/(-9))\/((-7)\/42)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 751, 1525, 2299, 3073?\n\"Answer: 774*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 - -2) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c + 5. Let w(i) = i + 2. Calculate h(k) - 4*w(k).\nAnswer: 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 - 1370*i + 1438008 = 0.\nAnswer: -1257, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32001597 to the power of 1\/2, to the nearest integer?\nAnswer: 5657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:11 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-66)*28633\/(-1918)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 4. Suppose y*g = 2*g + 8. Let h(u) = -u**3 + 3*u**2 - u. Let i be h(2). Solve t = g*f + 15, i*t + 15 = -8*f + 3*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437383 is divided by 595.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbhx when four letters picked without replacement from {x: 2, h: 5, b: 8, i: 2}?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78, 189, 468, 993, 1842, 3093?\n\"Answer: 13*t**3 + 6*t**2 + 2*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 3*i - 6, 3*i - 21 = g. Let h(n) = n - 4*n - i + n. Calculate h(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 2*l**2 + 3*l - 2. Suppose 0 = -73*j + 74*j - 2. Let h(m) = 2*m**3 + 3*m**2 - 4*m + 3. Give j*h(z) + 3*g(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 3*g - 107. Let v(z) = -z**2 - z + 18. Give -k(x) - 4*v(x).\nAnswer: 7*x**2 + x + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 881673217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 18 = z, 0 = -4*j - 5*z + 37 - 15. Let n(u) = 4*u**2 - 23*u - 47. Calculate the remainder when 1\/((-186)\/94 + 2) is divided by n(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 4*c + 3. Let a be t(2). Suppose 3*h + 42 = a*f, -2*h + 17 = 3*f - 30. What is the highest common divisor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829655 is divided by 2324?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1322 or -0.793?\nAnswer: -0.793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (80\/(-6))\/((-2)\/85896). Let x = l - 262640. What is x rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1 + 1 - 70. Let b = -167955\/16 + 10493. Find the common denominator of (-2 - 58\/y)*2 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -32, -89, -188, -341, -560, -857?\n\"Answer: -2*p**3 - 3*p**2 - 4*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 2 - 2)*(-4*b + 4*b + 2*b) + b**2 + 0*b + 0*b + 3 + 0*b**2 - 2*b**2 - 11*b**2 to the form u*b + z + g*b**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 2*g - 10. Let f(i) = 3*i**5 - 9*i**4 + 2*i**3 + 8*i**2 - 4*i - 8. Let m(t) = -t**3 + 2*t**2 - t - 2. Let q(n) = g*f(n) + 4*m(n). Factor q(b).\nAnswer: -3*b**3*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.488254 kilometers?\nAnswer: 48825.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 62.\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -5, 29, 63, 97?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.461 * -0.0381\nAnswer: 0.0175641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 17304.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -1, -292 in increasing order.\nAnswer: -292, -1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32973.99989904 - -32974. What is u rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/15607 in 0, -1.6, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/11)\/y*y)\/(y\/(y*y\/y**(-1\/6))))\/(y**0\/y)**(-37) assuming y is positive.\nAnswer: y**(-2347\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.865*42.\nAnswer: 204.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/20*5 + 251. Calculate the highest common factor of u and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143777 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795 and 2762519?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 14889900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*v + 37*v - 83*v - 4*v - 2 - 9*v + 12*v + 0*v + v - 2*v + (2 + 0 + 0)*(v + 4*v - 6*v) - 2*v + 4*v - v to the form z + p*v and give p.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584 + 2335\/4. What is the smallest value in 70, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 57*i + 4606. Determine u(-67).\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 15*r**2 + 2*r - 27. Give i(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2 - 4507896*r - 1270070396676 = 0.\nAnswer: -563487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(276\/180))\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:01 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -48*r + 198. Calculate the remainder when 41 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1543 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32371*a**5 - 17560*a**2 wrt a?\nAnswer: 1942260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 71.\nAnswer: -2, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d - 24264*d**2 + 821 + 3*d - 6010 + 24478*d**2 wrt d?\nAnswer: 428*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 791, 1624, 2473, 3338, 4219, 5116, 6029?\nAnswer: 6958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10953555 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 3, -2, 46.\nAnswer: -18, -2, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*z + 82 + 33 = 0, 3*a - 69 = 5*z. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5 + sqrt(1300))**2*4 - sqrt(1300)) + (-1*sqrt(1300) + 1)**2.\nAnswer: 370*sqrt(13) + 6604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10464*j**2 + 115833*j?\nAnswer: 20928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u**2 + u + 5. Let k be l(3). Suppose -2*b = -4*t - 8, -3*b + t - 28 = 5*t. Does k = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -84. Is h at most as big as -2\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15210 and 38025?\nAnswer: 76050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22225778, 44451555, 66677328, 88903097?\n\"Answer: -2*g**2 + 22225783*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 901*p**3 + p**2 - 898*p**3 - 20*p + 1795*p**3 as u*p**3 + t + m*p + w*p**2 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -20, -4*q + 3*f = -f. Suppose 0 = -4*j + q*b + 276, 2*j - 152 = -b - 4*b. Calculate the remainder when j is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:10 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1178.\nAnswer: -1\/1178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*a - 90*l + 85*l, 11 = 3*a - 2*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/z)**34\/(z*(z**(-1\/2)*z)\/z*z*z*z*z\/z**1*z) assuming z is positive.\nAnswer: z**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 + 17187118*s + 51561372 = 0. Calculate s.\nAnswer: -3, 8593562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a day in hours?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from oohohojzvjzovjozoj.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 8 + -3 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 532?\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 188\/423 - 4\/9. Let x(n) be the first derivative of 0*n**3 + 7 - 1\/5*n**5 + 0*n**4 + r*n**2 + 12*n. Differentiate x(p) wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2aa5 (base 14) to base 15\nAnswer: -23b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*10\/(-25))\/(4\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-18))\/(190\/(-228)) + 9*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 6\nAnswer: 119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 60*u**2 + 4*u + 61. What are the prime factors of o(5)?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117844 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -274, -228, -192, -172, -174, -204, -268, -372?\n\"Answer: -u**3 + u**2 + 50*u - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001344004 (base 5) in base 10?\nAnswer: 1981129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2482 - 7773 = -7*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q + q)*(41 + 28*q - 41) + 2*q**2 + 0*q + 0*q + (-3*q - 2*q + 6*q)*(3*q + q - 5*q) to the form k + h*q**2 + r*q and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-880)*8\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14316938 is divided by 1499.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 164.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -70*((1\/(-5))\/((-5)\/(-1145)) - -5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 6*n**2 + 2*n + 8. Let a be k(-4). Find the second derivative of -15*x**3 + 4 + x**2 + 20*x - a*x + 6*x**3 wrt x.\nAnswer: -54*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1000595 and -79181265.\nAnswer: -80181860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 11*u**2. Let h be x(-11). Which is the closest to h? (a) -0.2 (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/36*1*(-54)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010101100111000 (base 2) in base 8?\nAnswer: 225470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6523, 6479, 6435, 6391?\n\"Answer: -44*h + 6567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 755, -4\/7, -2\/13, 0.08.\nAnswer: -58, -4\/7, -2\/13, 0.08, 755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:49 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 941 = -32*w - 115. Let v = w + 37. Solve v*o - 25 = -5*x, 2*x - 22 = -5*o + o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (321 + -312).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -125\/3380743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllolqobllqolo. Give prob of picking 1 o and 1 l.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/18 and 79\/838?\nAnswer: 7542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -11*1) + 1. Let i = 291 + -274. Let r = i - v. Sort 0, -1, r in decreasing order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -3*1*sqrt(153) + -2*sqrt(153)*-2)\/(-4*3*sqrt(324))*5.\nAnswer: -5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -337*p**2 - 1. Let j be m(1). Let c = j + 338. Solve 2 = v - c*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21190 + 281273. Let b = 137183 + d. Let j = 289646 - b. What is j rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -364 * -2.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**4\/6 - z**3\/2 + 6*z**2. Let k(a) = 5*a - 4. Calculate 2*k(c) - 3*x(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2771 - 1555*b - 2768 + 8310 - 2771 as n + l*b and give l.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 10. Suppose -3*t + t - 108 = 4*r, -t - 3*r = 53. Let h be 21\/t*(-1)\/3. Sort h, -1, s in ascending order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 7519768 + 7519768.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*u - 46 + 3 = 0, -2*u - 64 = -5*n. Let x = n + -11. Suppose -2*h - 2 = 2*t, -5*h = -x*t - h + 25. Solve -t*y - 12 + 0 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*h + 11246*d**3 - 2*d**2*h + 2*d + 694*h - 3 wrt d?\nAnswer: 6*h + 67476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/(h*h**(-2\/5)*h))**(48\/5)*(h\/h**3)\/h**(-2)*(h*h**(-2\/7)*h)**(-9\/10) assuming h is positive.\nAnswer: h**(8802\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24601*i + 24445*i = 9204 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11123.8 + 11129.3077. Let i = j + -5.5. Round i to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126 + 326?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -23.\nAnswer: -73\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + -85 + 312 + -101?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 62.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**3 + 49940*v**2 + 847795*v + 2592460 = 0.\nAnswer: -9971, -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i + 120 = 0. Suppose 0 = m - r - 8, -4*m + r = -23 - 9. Calculate the common denominator of 20\/7*(-60)\/i and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3\/6 - 7*n. Let z(t) = 4*t. Calculate d(z(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**3 - 2*w**2 - 7*w - 12. Let d(i) = 11*i**3 - 3*i**2 - 8*i - 12. Let x(n) = 5*d(n) - 6*z(n). What is the second derivative of x(t) wrt t?\nAnswer: -66*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10464, 41842, 94136, 167346?\nAnswer: 261472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/7 of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - 28?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 6 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = h - 4*p, 3*h - 5*p = -4*p + 12. Find the first derivative of h*v**2 + 20*v**3 - 23*v**3 - 14 + 0*v**2 + v**2 wrt v.\nAnswer: -9*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, -26717, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 537*z**3 - 58*z**2 + 172*z + 14. What is the hundreds digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(208)*-3 - sqrt(208)) + sqrt(13).\nAnswer: -15*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*t - 44*t + 25*t)*(-1 + 1 - 1)*(-2*t - 3 + 3) - t**2 - t**2 + 4*t**2 + (t + 3*t - 2*t)*(-3 + 3 - 2*t) to the form b + v*t + d*t**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3598 and -83\/38550.\nAnswer: 269850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - 4\/(-8)*-16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2014*a + 38267. Give l(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064 + 6*a**3 - 551 - 513.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/32)\/(b\/b**41) assuming b is positive.\nAnswer: b**(1279\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 11:52 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 8) + -4 - -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1426 and -23\/6?\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 15 + 2)*(3 + 9 - 3)*(0 + 0 + v**2) + (-v + 2*v + v)*(-3*v + 3*v + 2*v).\nAnswer: -230*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 3766.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62624 and 4584?\nAnswer: 35883552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 58, 138, 248?\n\"Answer: 15*g**2 + 5*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 75*x - 2. Let m(i) = -342*i + 681*i - 337*i. Determine m(b(c)).\nAnswer: 150*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9725044 and 10580.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + (1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 249123721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/9 (c) -1\/5 (d) -52 (e) 1\/3 (f) 11 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 2*v = h*q + 103, 2*q - 147 = -3*v - q. Suppose -16 = -2*i + p + v, -2*i + 86 = 4*p. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 79 = -70. What is the highest common divisor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c - 20*c + 2*c - 270 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 7*c = 9*c. Suppose c = -2*j - 3*j - u + 9, 5 = -5*u. What is the least common multiple of 2 and 22\/j + -6 + (7 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -2, -23, 3\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2560267*i**5 - 50976*i + 5 wrt i?\nAnswer: 51205340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.743353 hours?\nAnswer: 9876070800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlliliiiiilliliiiii. Give prob of sequence jl.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5025 - -1.8025. Let k = 0.3 - 0.2. Let x be 1\/(-1) - (-3)\/2. Which is the nearest to 1\/3? (a) x (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -2*v + 1561. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 32*g**2 + 2.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*g**2 - 224*g**2 + 81*g**2 + 40 + 73*g**2 + 44 to v*g + x*g**2 + u and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 857974 + -1.185?\nAnswer: 857972.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 7*i - 3*i + 62, -i = 5*g - 72. What is the tens digit of -7 - g\/((-98)\/525)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -638760*o*s**3 + 185*o*s**2 - 635*o*s - s**2 - 3*s - 1 wrt s.\nAnswer: -3832560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2\/3)*v))**(-3)\/((v\/(v*(v*v**0)\/v*v))\/(v*v**(1\/3))))\/((v*v**(-1))**21\/(v\/v**2*v*v*v**6)) assuming v is positive.\nAnswer: v**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, 4, 3, -40, -1 in descending order.\nAnswer: 136, 4, 3, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164 or -125349?\nAnswer: -125349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1 + 0 + 3 + 2*sqrt(119)\/(sqrt(21)\/sqrt(3)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 458185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 2 - 2 - 6. Let k be q*(16\/(-6) + 2). Sort -3\/7, k, -4 in decreasing order.\nAnswer: k, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 69*q**2 - 5*q - 18. List the prime factors of n(14).\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -13 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w + 45 = 31*w. Let a(n) = n**2 + 7*n - 3. Let z be a(w). Suppose -319 = -2*q - z. Calculate the remainder when q is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 1419 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2)\/(-8 + 7). List the prime factors of (g + 2 + -2)*39.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21004, 21011, 21022, 21037, 21056?\n\"Answer: 2*s**2 + s + 21001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 2}. What is prob of picking 1 p and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 89. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 27423. Let v(r) = -2*r**2 + 459. Give s(v(u)).\nAnswer: 8*u**4 - 3672*u**2 + 393939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.007021 times -0.5\nAnswer: 0.0035105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729 = 3*r + 849. Let o = r - -1029\/2. Find the common denominator of o and 55\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 4. Let s(r) = 11*r + 11 - 3 - 7. Let z(t) = -32*t - 4. Let y(v) = -11*s(v) - 4*z(v). Calculate -5*a(f) - 4*y(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 4, k: 1, c: 2}. What is prob of sequence ck?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 289*u - 20829. Determine f(-127).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 6. Let c be j(3). Is 25 a factor of c\/(-42) - 1263\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/((-4)\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 40. Let p be f(30). Solve -7*b - p = -3*b - 2*j, -3*b - 15 = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 + 12. Let t = 7.6000062 - s. Round t to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79103 = -3*t + z, 5*t - z - 72039 - 59800 = 0. Let v(q) = -q + 26368 - t. Let u(g) = -37*g**2 + 2 - 2. What is u(v(i))?\nAnswer: -37*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1539799*q**4 + 8288*q + 37*q**3 - 2051*q + 1539827*q**4 wrt q?\nAnswer: 336*q**2 + 222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 22. Suppose j + 60 = -5*m. Let i = 16 + m. Solve i = 2*n - 5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 13 = f - 5*h, -5*f - 16 = 2*h. Let j be (6\/(-7))\/(f\/14). Let i = 10 - j. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1300683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*q**2*v**3 + 63*q**2*v**2 + 31993*q**2 - 2466182*v**3 + 12*v**2 wrt v.\nAnswer: -174*q**2 - 14797092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fssd when four letters picked without replacement from aaafadfsaysaese.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352972?\nAnswer: 2, 79, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -0.43326.\nAnswer: -0.45326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (-118 + 130) - -108\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 817*v**2 - 1209*v - 4904. Determine u(407).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t. Let q be ((-24)\/(-10))\/((-2)\/(-5)). Let y(k) = k + 1. Let w(g) = -2*g - 3. Let i(l) = q*y(l) + 2*w(l). Calculate r(i(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*b = -10, 53 = 6*v - v - 4*b. Let h(z) = z**2 - 76. Let u be h(v). Solve -5*r = u*f + 5, -f + 7 = 3*r - 0*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 297.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1893*l**2 - 4*l - 4. Let r be j(-2). Suppose i + 7*i - r = 0. Suppose 0 = 6*d - 451 - i. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 738763909 by 16549.\nAnswer: 44641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -2 + (-6 - -2 - 18) + -46 + 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*g - 29 = 0, -2*g = r - 4*g - 11. Suppose r*x + 5 = -q - 1, -q = -4*x - 8. Solve q = 3*a - 2*j - 0*j + 10, -5*a - 4*j = -20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6979 + -20935\/3. Which is the closest to 1? (a) 1\/4 (b) -5 (c) q (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3786 + 3993. Let v = z + -3748. Is v\/(-27) + (-4)\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -32*a + 14 + 30*a + 32. Let l be j(22). Let 6\/5 + 2\/5*b**l - 8\/5*b = 0. Calculate b.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1023?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31255 * 0.056\nAnswer: 1750.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7793\/8 - 72715\/88. Let p = l - 148. What is the smallest value in -19, p, 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.05 - 0.05. Let d = u + -5. Let v = d + -3. What is the closest to v in 0, 4\/5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 272, 453, 670, 935, 1260, 1657, 2138?\nAnswer: 2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14\/59 - -64\/767. Let k be 4\/16 + (-30)\/(-8). What is the closest to h in k, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -12 - 12*l + l**3 + 9*l**2 - 4 - 1. Let n be w(-10). Suppose n*k + 10 - 25 = 0. What is the remainder when 10 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.57? (a) -1 (b) 1\/38 (c) -2 (d) -16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + (-5 - -9) + (0 - 16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 31 = 6*i + 9*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001111011 (base 2) to base 5.\nAnswer: 104312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.72 - -0.216153.\nAnswer: -2.503847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -37*z**5\/10 - 88*z**3\/3 - z + 228. Find the second derivative of y(n) wrt n.\nAnswer: -444*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**9\/6048 + g**8\/3360 + g**7\/840 - 5*g**3\/2 - 12*g. Let z(j) be the second derivative of h(j). Factor z(t).\nAnswer: -t**3*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*(-8856*k**2 + 23198*k**2 - 10113*k**2).\nAnswer: 4229*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22\/7, 2\/5, 1\/3, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9 - -1)\/((-9)\/(-27)). Let o = -0.4 + -0.1. Which is the third smallest value? (a) o (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/54480 and 137\/5611440.\nAnswer: 5611440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Suppose -4*k + m = -66, 0*m - 2*m - 13 = -k. Suppose -7 = -k*h + 248. Solve -3 = -j*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25883 is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r + 309. Let w be o(0). Let v = 21322\/69 - w. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*(0\/(-7))\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092150149?\nAnswer: 3, 151, 4618433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 37241*a + 6*a**2 + 31*a**2 - 37233*a in the form l + g*a**2 + v*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19067 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2177776 < -2177541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.3 - 65. Let a = k - 0.3. Let i = 8455 - 8454. What is the smallest value in a, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 7*r**2 - 8*r + 1. Let m be f(8). Let k be 5824\/(m\/206*-4). Let j = 158936 + k. Round j to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 4*k - 16.\nAnswer: 2*(k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 > -852\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 1452?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 550806.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1164322300 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6021, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-380)\/2850*1*(-250)\/(-120).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**26)**(-44)\/(t**(4\/11)\/t)**33 assuming t is positive.\nAnswer: t**(-1123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1194, -2560, -4104, -5832, -7750?\n\"Answer: -x**3 - 83*x**2 - 1110*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7315 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8794392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacacccaccacaacccca. What is prob of sequence ac?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h + 2509826 + 530729 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 1.53. Let b = -0.039 + -0.624. Let g = m + b. Round g to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-4) + (-1)\/(-2). Let z be (32\/b)\/(2\/6). Which is smaller: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 - 2*u**4)*(2 - 2 + u) - 5*u**5 + 3*u**5 + 3*u**5 - 1622*u**5 + 125*u**3 - 53*u**3 - 72*u**3.\nAnswer: -1623*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine fourteenths of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322121 (base 5) to base 14.\nAnswer: -3d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -25*o**2 - 12*o + 5. Let i(h) = 50*h**2 + 28*h - 12. Let x(n) = -7*b(n) - 3*i(n). Let q(l) = 8*l**2. Calculate q(x(u)).\nAnswer: 5000*u**4 + 400*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 7*u**2 - 5*u + 8. Let x be z(-6). Suppose -y = b - x, -5*b - 14 = y - 2*y. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*o = 14, -2*o = 3*o + 25. Let f be -2 - -6 - (1 - -3). Which is the closest to q? (a) f (b) 2\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258626, 258623, 258618, 258611?\nAnswer: 258602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(60)\/sqrt(5))*5*6.\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 957.23 - 957. Which is the closest to 1\/4? (a) 0.2 (b) j (c) 2\/9 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/165)\/((-3)\/25))\/((-345)\/9)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 3. Suppose 857 = 5*w - 3*y, 3*y = -2*w - 33 + 401. Calculate the highest common factor of o and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11786 - 51340?\nAnswer: -39554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1138742 and 13\/100848?\nAnswer: 27329808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 244\/305*(-10)\/(-148)*-1\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, h: 5}. Give prob of picking 3 h and 1 b.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, -799 = -i - 3*n - 2. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9466694l to millilitres.\nAnswer: 946.6694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-four fifths of a century?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 + 6)*4\/3. Let n = y + 19. What is the remainder when 30 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(12)*1*3 + (sqrt(12) - (sqrt(144) - sqrt(144)*-2)\/sqrt(12)))\/(sqrt(66)\/((sqrt(22)*-1)\/sqrt(2)))*-2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2331*r**2 + 9332*r + 2. What is u(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -t, g - 5*t + 21 = -0*t. What are the prime factors of -4*2\/g + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 3*n**3 + 0*n**3)*(0*n**2 - 3*n**2 + n**2) + 3*n**5 + n**5 + 0*n**5.\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:50 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*o - 33 = 0, -5*w - 5*o = -18702 + 18782 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2126, -1, 0.5, -26.09, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/6)*c)\/c**6)\/(c**(1\/3)\/c**(2\/7))*(c\/(c**(-2\/5)\/c))\/(c\/(c**(3\/7)\/c))*(c*(c*c**(-4)\/c*c*c*c*c)\/c)\/(c*c**2) assuming c is positive.\nAnswer: c**(-517\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112935 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1*sqrt(3) + 2 + 1 + sqrt(243))**2 + ((sqrt(42)\/sqrt(2))\/sqrt(7) + sqrt(75) + -1)**2.\nAnswer: 42*sqrt(3) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1\/2, -2, 11, -0.2, 0, -1\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 4, 1, -9, -3152.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/60 - 2*f**3\/3 + 11*f**2\/2 + 37*f. Let x(b) be the first derivative of v(b). Let n(u) = 2*u**2. Determine x(n(i)).\nAnswer: -4*i**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-256)\/(-80)*((-975)\/(-338))\/15\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -190*s**4 + 60648*s**3 - 25854*s**2 - 29642*s - 4944. Let c(x) = x**4 + x**2 + x. Let z(r) = 6*c(r) - g(r). What is f in z(f) = 0?\nAnswer: -2\/7, 1, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - h + 1. Let m(a) = 3*a**2 + 7*a**3 - 3*a**2 - 8*a**3 - a. Calculate -2*m(t) + r(t).\nAnswer: t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -462864424 plus 1.3?\nAnswer: -462864422.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 - 3. Let a(f) = -4*f - 5. Let v(j) = -6*j - 8. Let w(l) = 8*a(l) - 5*v(l). Calculate w(t(u)).\nAnswer: 18*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - (1 + -2)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423734 at most as big as 2423735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/3 - 2326*u**2 - 79373*u - 2026468\/3 = 0. Calculate u.\nAnswer: -17, 7012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8 (b) 1 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:38 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -9. Suppose 0*v - 3*r + 28 = l*v, -2*v + 8 = -2*r. Suppose -v = -o + 2. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5925304181.\nAnswer: 83, 367, 194521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d - 1\/6*d**3 + 1\/12*d**4 - 1\/20*d**5 + d**2 + 0. Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*sqrt(2057) + 4))**2 + -5 + (-5*sqrt(2057))**2*2)*-4.\nAnswer: -486008 + 3168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/10 - 17*z**4\/12 + z**3 + 11*z**2\/2 + 2*z + 21. Let h be t(-9). What is the greatest common divisor of h and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/36 and 17\/4*5\/(585\/26).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27907865 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63318 is divided by 6330?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*f - 99*f - 82*f + 2*f**2)*(-2*f**3 + f**3 - 3*f**3).\nAnswer: -8*f**5 - 184*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 25*v**2 - 2*v + 29. Calculate o(25).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/3)*q))\/q**9*(q*q*q**(-1\/2))\/q**(-6) assuming q is positive.\nAnswer: q**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l + 24. Let i be w(-4). Suppose 3*x = -g + 86, 4*g + 0*g + i*x = 312. Is g <= 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 38 + 19*d**2 - 65)*(5*d - 6*d + 9*d).\nAnswer: 152*d**3 - 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 5\/3, -2, 1\/11, -2\/3 in increasing order.\nAnswer: -2, -2\/3, -1\/4, 1\/11, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310050 and 53586?\nAnswer: 71001450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 923 * -21.1.\nAnswer: -19475.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 194\/10 + 10\/(-25). Suppose r*s - 9 = 16*s. Solve -4*o = -4*v + 4, 5*v - 4*o = -0*o + s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3291350?\nAnswer: 2, 5, 65827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -856 + 370. Let h = u + 490. Solve -b = -2*z - 6, 3*z = z - h*b - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = l + 46. Suppose -d - 11 = -16, -5*d = l*m - 25. Determine q, given that -1\/2*q**2 + m - 1\/2*q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 10 - 10)*(-4 + 2 + 0) - 2 + 1 - 1)*(2*q - 6*q + 2*q) - 2 + 2*q + 2.\nAnswer: -74*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/((0 - -3) + -1). Suppose 10*x - m*x - 42 = 0. Let t be x\/(-27) + 1 + 0. Which is the fourth smallest value? (a) t (b) -5\/4 (c) -3 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**3 - 25*p**2 + 98*p - 3. What is the tens digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 0, 5*q + 6 + 10 = 4*n. Suppose 0 = -2*b + 3 + 179. Let i(l) = 189 - b - 92 - l. Calculate i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6386240 is divided by 5109.\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-3)\/((-18)\/(-3)). Let n = 0 + -2. Is 17\/2 - q\/n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(11) + sqrt(11)*2 + (-6*((1*1*sqrt(11) - sqrt(11)) + sqrt(11)))**2 + -2.\nAnswer: 3*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -63717*v + 446022. What is g(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -3*g - 43, 0 = -3*i - 5*g - 131 + 148 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, -2, 3, -0.052?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 202a302?\nAnswer: 202a2eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13d8 (base 15) to base 13.\nAnswer: 1c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1062576 and 10152?\nAnswer: 3187728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9. Let t = 5 - z. Solve 2 = 3*s - t*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1 + 0 + 5 + i. Calculate l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -28 + 30 - -20 - (66 - (4 + -3)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2976*o - 13217 = 28447 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/5)\/(18\/(-45)). Which is the second biggest value? (a) 3 (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 17. Let p be (-5)\/4*(-1 - c). Let t(z) = 11*z**3 - z**2 - 3*z**2 - 4*z**3 - 8*z**3 + 6*z + p. What is t(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by -66?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -230, -355, -342, -83, 530?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 3*j. Let d be s(-4). Let g = 13 - 9. Let c(h) = 4*h - g*h - 3*h + 5. Give c(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 233 - 53. Let m = q - 20. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - -62. Let k = -334893.9999 + 334822. Let v = l + k. What is v rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3456652*a**3 - a**2 - 11137632*a wrt a.\nAnswer: -20739912*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 419 + -371. What is the remainder when t is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b**2 + 12*b + 31. Let o(y) = -19*y**2 + 25*y + 66. Calculate -21*m(k) + 10*o(k).\nAnswer: -k**2 - 2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.490488 rounded to one decimal place?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 165?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-264)\/(-18) + (-2)\/(-6). Suppose 15*v - 5*u = 13*v - 41, 4*v - 4*u = -28. Solve s = -v*s + p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 + 7 = 0. Let y be ((-5)\/40)\/(1\/k). Suppose -2 = 3*u - q, -u - 4 = -3*q + 2. Which is the second biggest value? (a) u (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 267*u + 8218. What is a(48)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjjqjqqbq. What is prob of picking 1 j and 1 q?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:33 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4136 and 533?\nAnswer: 2204488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from btbtyxxxtzxxb.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-3)\/(-40)*(-14)\/(-21)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5))**(11\/6))**(-1\/4)*m\/(m\/(m**2*m))*m*m**(-2\/13)\/m*(m**1)**(2\/21) assuming m is positive.\nAnswer: m**(29117\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -6, -0.4, 0.3, 29, -2 in decreasing order.\nAnswer: 29, 8, 2, 0.3, -0.4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 3*o)*(-3 + 5 - 6)*(-2 + 2 - 2).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0615*-5.\nAnswer: -0.3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 6, x: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 a when four letters picked without replacement from dadaucrurbardubr?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40583447*c**3 - 21921865*c**2 wrt c?\nAnswer: 243500682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 2*x + 2*x**3 - 4*x - x**3 - x**3 - 2*x**3 + (-x**2 - 2 + 2)*(0*x + 3*x - x).\nAnswer: -2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1473, -3779, -0.1, -2.\nAnswer: -3779, -2, -1\/3, -0.1, 1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqllllljqqqqjlljlqq. What is prob of picking 3 q?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -81*d - 738. Give c(10).\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15124 divided by 4?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255851841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2448323 (base 9) to base 2.\nAnswer: 101000101000011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460157 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:02 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -37.125. Let w = 0.125 + q. Let u = -36 + 73. Which is smaller: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 - a**2 + 0*a**2 - 3*a**2 + 2*a**2 + (2*a + 0*a - a)*(a + 2*a - 5*a))*(254 - 254 - 25*a**2) + 6*a + 6*a**4 - 6*a.\nAnswer: 131*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128263\/16 + 8014. Find the common denominator of -25\/392 and m.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -3700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206 - 126. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 579 + 9?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -11 (b) 0.06 (c) 14\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + x + 5 + 2 = 0, -x = 3*l. Let j(c) = -c - 4. Let n(k) = -1. Let h(q) = j(q) - 3*n(q). Calculate h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6742 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 8, b: 4}. What is prob of picking 3 b and 1 n?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i = 45*i, -3*y + i = -54 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 3. Let l be n(0). Let q be (4\/(-6))\/(l\/9). Let u = 5 - 1. Solve -5*b - q*c - 31 = 0, 0 = -u*b + 4*c - 8 - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1127*o - 53. Let c be q(-13). Is (-6)\/12 + (c\/(-4))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + (2 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(152)*2 + sqrt(152)) + sqrt(152) + sqrt(152) + -5*(sqrt(152) - (sqrt(152)*1 + sqrt(152))) + sqrt(152) + sqrt(152))\/(5*sqrt(32)\/sqrt(4)*6)*6.\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449233.5l to millilitres.\nAnswer: 449233500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72611)\/1012 - (-140)\/2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78*z**4 + 2*z**2 - 23?\nAnswer: -312*z**3 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138015?\nAnswer: 3, 5, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/i**5))**(7\/2))**(-6\/23))**(2\/59) assuming i is positive.\nAnswer: i**(-252\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 2*j**2 + 3*j + 33. Let b be s(0). Suppose -u - 514 = -b*y + 32*y, -2055 = 4*u - 3*y. Is -513 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 51*h - 3. Let q(v) be the third derivative of 17*v**4\/12 - v**3\/3 - 5902*v**2. What is 5*o(g) - 8*q(g)?\nAnswer: -17*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 108 - 34*m**2 + 59*m**2 + 2*m**3 + 40*m**2.\nAnswer: 2*m**3 + 65*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t - 4*y - 21 = 0, 17 = t - 4*y. Let j(z) = 10*z**2 - 1. Give j(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -72, -69, -66, -63?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*v + 22. Let l(g) = -g**3 - 6*g**2 - g - 4. Let w be l(v). Let u = -1.3 + 0.3. What is the closest to 1\/4 in 5, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35 + (-4 - -4 - 5). Let c be (-25)\/j*-52*-261000. What is c rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*b*r**4 + 253571*b*r**3 - 451*b*r**2 - 80*b*r + b + 5*r**4 + 17*r**2 + r + 5 wrt r.\nAnswer: -240*b*r + 1521426*b + 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {k: 2, p: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5625 and 25?\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-34)\/5)\/(3\/(-15)). Suppose 13 = 3*n + o + 1, o - 9 = -2*n. Suppose -g = -n*w - 5*i, -i - 3*i = -20. Solve -h + w = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 280092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268164629 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/2 - 61*x**3 + 3403*x**2\/2 - 7436*x - 9198 = 0.\nAnswer: -146, -1, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -267, 20, 4.\nAnswer: -267, -6, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r + 7*r)*(50*r**2 - 34*r**2 - 42*r**2).\nAnswer: -182*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) -2 (c) 2 (d) 5 (e) -6941578 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14325430 (base 6) to base 16.\nAnswer: 7889a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64962 (base 16) to base 3.\nAnswer: 202221011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 67 + 226 + 16972*x**2 + 24*x - 16948*x**2. Is i(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = -29*i + 12. Let p(c) = 8*c + 5. What is the tens digit of p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 8*p**2 - p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1080, -24\/11 in descending order.\nAnswer: 1080, -4\/7, -24\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -108*v + 562. Let i be u(5). What is the greatest common factor of 3883 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2026, 3992, 6022, 8152, 10418?\n\"Answer: 6*l**3 - 4*l**2 + 1936*l + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dueusesxxcxcess. What is prob of picking 1 d and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2950884231491637 + 12*g**3 + 2950884231491637.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -64. Suppose -u - 5*r + 66 = u, 4*u + j*r = 104. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:48 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 64*o**3 - 2 - 66*o**3 - 2.\nAnswer: -2*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**2\/2 + g + 1. Let o(k) = -k**2 + 8*k - 10. Let i be -1*3*5\/(-15). Let l be (22\/55)\/(i\/(-45)). Give l*r(x) - 2*o(x).\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4559*o - 58631 = 123729 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560440 divided by 8.\nAnswer: -70055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:34 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*o - 36*o - 9928 = 0 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 3*v - 1. Let z(g) = 157*g**4 + 6*g**3 + 1845*g**2 - 24*g - 8. Let x(m) = 8*l(m) - z(m). What is the third derivative of x(a) wrt a?\nAnswer: -3768*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3508923859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (12 + (1 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 148*f**2\/3 - 604*f\/3 + 608\/3.\nAnswer: (f - 2)**2*(f + 152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l - 724 - 20 = -9454 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*f + 87*f + 7393 = 355 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-20)*(-20)\/(-4). Let f(m) = 3*m + 3 + m - m. Let k(c) = -119*c - 119. Let t(l) = -7*l - 7. Let x(d) = -2*k(d) + 35*t(d). Determine q*x(i) - 5*f(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-360))\/(3\/(-15)) + (-4)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23353 - -30717. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5352416881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/((-5)\/25). Suppose 8 = -5*z + 4*d, -5*z = -3*z - 4*d + 8. Suppose c*p - 377 + 37 = z. What is the remainder when p is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9604957.32 nanoseconds in weeks?\nAnswer: 0.0000000158812125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 111*j - 91. Let v(i) = -229*i + 172. Give 4*v(f) + 9*x(f).\nAnswer: 83*f - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from yzssyyzzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 4, m: 2, s: 1}. Give prob of sequence os.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 516986 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = -128. Suppose 10*t - 2928 = 34*t. Let j = 117 + t. Sort -3, j, a in ascending order.\nAnswer: a, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/12)\/((-88)\/(-208)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55)\/(-22)*2\/10. Let -1\/2*s**4 + p + 0*s**2 - s + s**3 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 - 5 - 16 - 86 - g**2 - g + 51 as w*g**2 + s*g**3 + x + k*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 81.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128769471?\nAnswer: 3, 107, 133717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165 - -1139\/7. Let q = -25\/14 - g. Let h = 1 - 2. Which is the nearest to q? (a) 0.4 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = -4*y - 12, 1 = r - y. Sort -4, 18, r in ascending order.\nAnswer: -4, r, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2))**2 - (sqrt(3) - (5 + (sqrt(3) + -2)**2)).\nAnswer: -5*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -23. Let s = -1300 - -2681\/2. What is the common denominator of ((-34)\/12)\/(o\/32) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817, 874, 969, 1102, 1273, 1482?\nAnswer: 1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-15))\/((-6)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-15)\/(-12)) + 1. Let w = -18 + 18.1. What is the third smallest value in w, -0.13, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 405.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 349193.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 203812 - 2?\nAnswer: 203810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*f - 4, h + 5*f - 1 = -2. What is the units digit of (-6)\/(0 - 2 - h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let g be ((-7)\/14)\/((-1)\/6). Suppose 2*x = g*l + 7*x + 2, 3*x - 12 = -4*l. Let b(m) = 5*m - 7*m + 0 - l - 12. Give b(s(q)).\nAnswer: 4*q**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 12*h + 10. Does 15 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(153))**2 - (-3*sqrt(136)*-2)\/sqrt(8).\nAnswer: 12*sqrt(17) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6932.311 centimeters?\nAnswer: 69323.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.140605 rounded to three decimal places?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 32110?\nAnswer: 160550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7*x - 9. Let l be (3\/6)\/(6\/108). Let h = l + x. Solve 3*q = -0*q + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-168))\/(2 + (-17)\/7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00169861 to six decimal places.\nAnswer: 0.001699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q**(-4)\/q*q)\/q))\/q)**(-21)*(q*q*q**(-1\/15)*q)\/q**(-12))**(21\/5) assuming q is positive.\nAnswer: q**(-9457\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463593.\nAnswer: 241, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q - 43 + 67 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 (base 9) in base 12?\nAnswer: -831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -736 - -1651. Is i a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0927581 seconds to microseconds.\nAnswer: 92758.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61309 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 + 6*f**2 + 96 to the form h + s*f**2 + u*f and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -4052.\nAnswer: -607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/22008 and 73\/24?\nAnswer: 22008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 410\/(-70) - (-12 + 6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 + (4 - -32 - 31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/88114 and 3\/4.\nAnswer: 176228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*t + 14 = 5*u, -2*t - 10 = -3*u. Let q be 16\/5 - u\/10. Which is smaller: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - -14. Let r be (-1 + -2 + 0)*6\/(-2). Suppose 0 = -r*w + o + 8. Solve 2*p + 5*m - 1 = 4*p, 3*p = w*m + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 135, 132, 127, 120?\n\"Answer: -b**2 + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 206 = -6*d. Let n = d + -34. Suppose 12 = -2*y + 4*q, n = -4*y + 5*q - 2*q - 4. Solve -y*i + 4 = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 17324. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*d - a, 5*d - 3*a + 3 = -6. Let z(j) = -j + 21. Determine z(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125156 smaller than -125127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(150)\/sqrt(3))\/(sqrt(1210) - sqrt(1210)*-1) + 2 + (sqrt(1375)*5)\/((sqrt(55) + sqrt(55)*2)\/sqrt(5)).\nAnswer: 2 + 284*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {d: 1, a: 1, t: 4, i: 7}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from {k: 8, y: 3, c: 6}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (229 - 343)*7\/(-2). Calculate the highest common divisor of 2261 and c.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40083960 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*p - 216. Find the common denominator of (-522)\/4*2\/30 and 529\/p + (-4)\/(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97567 greater than 97551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + n)*(2 - 4 - 1).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, d: 6, j: 2}. What is prob of picking 1 d and 1 b?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 319.5 - 319.1. Put 4, 416, -3, l in decreasing order.\nAnswer: 416, 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((39 - 54)\/255)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkjg when four letters picked without replacement from {o: 3, j: 1, g: 1, u: 6, k: 2}.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1524.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 113 = 3*i + 68, -3*v = -3*i - 138. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9*a**2 + a - 4. What is the remainder when f(5) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/252 and 81\/14?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 855 divided by -2521\nAnswer: -855\/2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*v + 6 + 270*v + 7 + 2 - 15 - 529*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(605) + 1 + -2)*2.\nAnswer: 4 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - s**3 - 3*s + 2*s**2 + 3*s + 3*s**2 - 8*s**2. Let c be (-2 + 3)\/(1\/4). Suppose -2*o + 4*b = o + 21, c*o = -2*b - 6. Determine t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1093.99298 and -16.\nAnswer: 17503.88768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let a(z) = z**2 - 9*z - 8. Let y(g) = -a(g) - m(g). Let c be y(7). Suppose 5*l + 4 - c = 0. Solve 0 = l*x - 7 + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -49. Suppose 0 = 13*r - 18*r + v. Solve 5*b - z + 3*z = -5, 4*z = r*b - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1619272831 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 333346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 453578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y + 4*s, -5*s + 30 = 5*y. Suppose -5*x = -y*g + 6, -5*g + 4*x = -3*g. Suppose 3*z - 3*l = 174, -l = g*z - 71 - 161. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/l**(1\/4))\/l)\/l*l*l)**(6\/11))**(7\/4)*l**0*l*((l\/((l\/(l**(-2\/5)\/l))\/l))\/l)\/l*l*(l**0\/l)**(2\/63) assuming l is positive.\nAnswer: l**(34337\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t - 5 = 0. What is the units digit of (-496)\/(-20) + 4\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.043 + 132.957. Let z = 28.959 - 161.9. Let f = z + i. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 - 2.4. Let d = -2.9 - u. Let h = 3.09999996 + d. Round h to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*x - 67 + 67)*(-2*x**2 + 7*x**2 - 2*x**2).\nAnswer: 51*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/304 and 15\/274.\nAnswer: 41648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/9)*m\/(m*m**14*m)*m assuming m is positive.\nAnswer: m**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*x - 1 = 9, -2 = -x. Suppose m = 2*g - 4*f, g - 1 - 3 = -4*f. Let y = -0.25 + 0.25. Sort -4, g, y in descending order.\nAnswer: g, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 + -4 + 2 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + a6?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.16638 and -95522525?\nAnswer: 95522524.83362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 2*n**2 + 3*n**2)*(1 - 2 + 0) - 4 + 4 + 3*n**2 - 54 - 55 - 49 + 214 - 56 + 15214*n**2.\nAnswer: 15219*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 5*a - 2*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*s**2 + 436148*s + 124616.\nAnswer: -4*(s - 15577)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2149532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 14. Let k be i(-9). Sort -3, 3\/2, 0.3, k.\nAnswer: k, -3, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-6))\/24*0\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412294 is divided by 206133.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 3*r**2 + 2*r - 4. Let o be w(-4). Solve 0 = f - k - 4, o*f - 3*f = 3*k + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.97 - 0.03. Let i = 845 + -845.3. Put c, i, 1 in descending order.\nAnswer: 1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 99*o**2 + 41*o - 73*o - 6 + 36*o. Let j be h(-4). Suppose -x - 1 = -j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 15. Let a be p(9). Let h(t) = -t**2 - 5*t + 6. Let w be h(a). Let n = -15\/164 - -463\/1476. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (18 - 17) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1764 - -7015\/4. Calculate the common denominator of o and 740\/(-770) - (-2)\/14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.71233 rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 224564941 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17944109 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-20)*q**(-2\/35)\/q)\/((q*q**(-5)*q)\/q)**12 assuming q is positive.\nAnswer: q**(978\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11568 - 43168112\nAnswer: -43156544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrc when three letters picked without replacement from rpcwuwwwwpuw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 179 = 3*l, 2*s - 159 = -2*s + l. Calculate the remainder when ((-350)\/8 - 2)\/((-3)\/8) is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1781502462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 11*y**2 + 10*y + 3. Let z = -29 - -19. Let k be q(z). Solve 2*r - 5 = -a, -k*a - a = 4*r - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-13))\/((-1)\/2). Let h = -6016.8 - -6016.4. What is the smallest value in t, 1\/44, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107047105 to the nearest integer?\nAnswer: 10346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 50.3?\nAnswer: 45.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/207 and 29\/4692?\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 365041\/32 - 11409. Calculate the common denominator of r and (26\/(1248\/9))\/((-2)\/(-15)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8)*-226 - 10\/20. What is the second derivative of -755*w - 18*w**2 + g*w**2 + 725*w wrt w?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c + 13. Calculate i(16).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - sqrt(13)*1 - sqrt(13)) + sqrt(104)\/(sqrt(24)\/sqrt(3)) + ((sqrt(3744)*-1)\/(sqrt(2) - -5*sqrt(8)))**2.\nAnswer: -sqrt(13) + 1872\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 7\/12*v**6 + 0 + 15\/2*v**3 + 1\/3*v**5 + 1\/14*v**7 + 0*v - 25\/4*v**4 - 35*v**2. Factor s(y).\nAnswer: 5*(y - 1)*(y + 3)**2*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t. Let q(j) be the second derivative of -5*j + 0 + 0*j**2 - 1\/3*j**3. What is q(y(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) -0.4 (c) 2\/15 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxvrvmpx. What is prob of picking 1 m and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9294 - 23482 = -2*r - 2*t, -4*r + t + 65567 = 0. Round r to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - y - 24 + 19*y + 5*y**2 + 4*y**2 - 327*y.\nAnswer: -3*y**3 + 9*y**2 - 309*y - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -7)\/((-3)\/24). Suppose f = -3*j + 11. Suppose -j = t + 8. Is -7 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-24))\/(3\/(-12)). Let c be 38*h + 6 + -9. Find the second derivative of c*p**2 + 2 - 2 + 6*p - 27*p**2 wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5*(2 + sqrt(704)))**2 + sqrt(704) + (4 + (sqrt(704)*-1)**2 - sqrt(704)))*-1.\nAnswer: -18411 - 800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1850 and 111?\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2. Let q be ((-22)\/4)\/((-1)\/2). Let o(r) = 3*r**3 - 14*r**2 - r. Let z(m) = q*a(m) + 4*o(m). Let v be 4\/6*(-63)\/(-14). What is z(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -10. Let b be (-4)\/(-3)*g\/(-4). Let d be ((-1)\/2)\/((-14)\/4)*-4. Sort d, 4, -1, b.\nAnswer: -1, d, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 1. Let a(s) = -2*s - 2. Let l be a(-2). Let c = -1 + 10. Let p(k) = 5*k + 5. Calculate c*m(g) + l*p(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.003 - 0.387. What is h rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -199*h**2 - 195*h**2 - 5 - 197*h**2 + 591*h**2 + 293*h**3 to the form y + p*h**2 + a*h + i*h**3 and give i.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 530 and 7155.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 709, 1062?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2161113*z**2. Let f(m) = -2*m**2. Give l(f(j)).\nAnswer: -8644452*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o**3\/4 + 54933*o**2\/4 + 192031*o\/2 - 246978 = 0.\nAnswer: -54884\/7, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14204 is divided by 50.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h*n**3 + 18100802*h + 10695656*n**3 wrt n.\nAnswer: 6*h*n**2 + 32086968*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 39 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1763366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-40))\/(4\/(-5))*0. Suppose 0 = -2*s - 0*s. Let d be 8 - (s - 0 - -3). Solve d*y = -5, -5*u + z*u = -3*y + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkk when four letters picked without replacement from {t: 6, k: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-4*5)\/((sqrt(5) - sqrt(2160)\/sqrt(12) - sqrt(5)) + sqrt(5) + sqrt(5)) + 1.\nAnswer: 1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -634 - -634.4. What is the fourth smallest value in 0.5, 4\/5, -0.5, -5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*c**3 + 0*c**2 + 0*c**2)*(-1 + 5 + 0) + 7 - 7 - 26*c**3)*(4 - c - 4) in the form y*c**3 + s + m*c + x*c**4 + p*c**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5069547327 to the power of 1\/3, to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9349 in 1, 4, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 16.4. What is the nearest to -0.1 in 3\/2, a, 1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 7*v = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-13) - 2842\/3094. Suppose -b = -3*m + b - 6, 0 = -2*m + 4*b - 4. Do p and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g**4 - 2165*g**3 + 113511*g**2 - 674215*g - 126350 = 0. What is g?\nAnswer: -2\/11, 7, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(2) + sqrt(2))*6 + (sqrt(18) + (sqrt(324)\/sqrt(6))\/sqrt(3))\/sqrt(9).\nAnswer: -58*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3 = w, -2*r + 1 = 5*w - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3084.9991588 - 3085. Round c to 5 dps.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - ((19 - 11) + -26)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 27*t - 20. Suppose -14 - 13 = 3*h. Put t, h, 5 in decreasing order.\nAnswer: 5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -6*r**2 + r + 1\/6*r**3 + 0. Let k be b(-9). Is -21 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - 2. Let d(w) = 21*w. Give d(t(o)).\nAnswer: 105*o - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12038 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75 - -76)\/((-1)\/5*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 + -15 - -24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 323495251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/3 + 15*y**2\/2 + 8*y. Let t(a) = -a + 7. Let q(f) = 3*o(f) - 5*t(f). Differentiate q(s) with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((2*-2*sqrt(121) - sqrt(121)) + sqrt(121))*4)\/(-3*sqrt(99)*-1 - ((sqrt(99) - (sqrt(99) + sqrt(99)*-2)) + sqrt(99))*-2).\nAnswer: 64*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 0 - 5 + 4*g**2. Let v be x(3). Let u be 1\/(-3) + 64\/12. Solve -u*r - v = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from ttxtttxxtttt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 5*p**2 + p + 9. Let c be r(-4). Let q be 2*c\/(22\/(-9100000)). What is q rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 658.\nAnswer: -263.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*k + k + 18*k)*(7 - 5 - 1 - 1 - 76*k) as w*k**2 + f + o*k and give w.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/8 - 867*m**2\/8 - 1755*m\/8 + 2619\/8 = 0 for m.\nAnswer: -3, 1, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22783140623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 48. Let i be v(-6). Let k = -56 - i. Let l = 90 - k. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -2. Solve 6*y - 3*y - n - 14 = 0, -z = -3*y - 4*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23.2 and -1.541.\nAnswer: -24.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 128 = 2*o - t, -3*t = -2*o - 76. Let d = -30 - o. Let b(w) = -5*w**2 + w**3 + 1 + 15*w - 2 - d*w. Give b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -23*t. Let b be (40\/(-6))\/((-133)\/(-21) + -7). Let y(f) = 3*f + 2*f + 8*f - b*f. What is y(c(o))?\nAnswer: -69*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011487469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 19. Let r(d) = -7725*d. Determine n(r(a)).\nAnswer: -15450*a + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6 = -4*d, 0 = 8*d - 4*d - 5*r + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 3 + -14 + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {j: 1, r: 1, n: 1, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8269168603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5405248596?\nAnswer: 2, 3, 11, 3722623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20 + -16 + -17 - -202. Solve 72*b = 45*b + t for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-45))\/((-7)\/(-175)). Let b = 31\/36 - n. Let s = 1 + -3. Sort 5, b, s.\nAnswer: s, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Let j(h) be the second derivative of 0 + 2*h + 0*h**m + 1\/20*h**6 - 1\/12*h**3 - 1\/8*h**4 + 1\/40*h**5. Factor j(y).\nAnswer: y*(y - 1)*(y + 1)*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29470?\nAnswer: 2, 5, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1229\/1040 - 17\/130. Find the common denominator of (1\/(-4))\/((-11)\/(-74)) and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 8:31 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -2 - (-1 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -24, 178, 5 in ascending order.\nAnswer: -24, -19, 4, 5, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162827 divided by -37.\nAnswer: -162827\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 6. Let o(j) = 11*j + 10. Let f(w) = -3*o(w) - 5*p(w). Let b(r) = 32*r - 1. Give b(f(v)).\nAnswer: -96*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {h: 1, t: 3, i: 3, u: 1, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160495 + 304*i**4 + 252*i**2 - 160495 wrt i?\nAnswer: 7296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + sqrt(95)\/sqrt(5) + sqrt(19) - 3*sqrt(2299)).\nAnswer: -31*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 97523000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 7*j**3 - 2*j**3 - j**3 - 235*j**2.\nAnswer: 2*j**3 - 235*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*o + 18 = 0, 3*y - 4*o = 2*y + 22. Let m(d) = -2*d**2 + 9*d + 11. Let k be m(5). Factor -5*h**y - 3 + 4 - k - 10*h.\nAnswer: -5*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 14581656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.5 (b) 1\/3 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -z - 437 + 432, -5*z = r - 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -100, -3, 1 in ascending order.\nAnswer: -100, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 - 5 + 1 - 1)*(51*f + 69*f + 100*f) to w + m*f**2 + g*f**4 + j*f**3 + a*f and give a.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(-1 - 1 - -4). Suppose -4*x - 5*f + 0*f + 60 = 0, -5*f + j = 0. Let w = x - 0. Calculate the remainder when 28 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -353.94 + 358. Let x = -0.06 + h. Sort 4\/3, -4, x, 0.017 in decreasing order.\nAnswer: x, 4\/3, 0.017, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvtotvvtwffivf. Give prob of sequence oi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*q**3 - 14*q**2 + 20*q**2 + 2*q**4 - 7*q**2 - 19*q wrt q?\nAnswer: 48*q + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -285d4?\nAnswer: 285d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.1130757?\nAnswer: 0.1130757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 100 = 288. Suppose -48*l = -x*l - 5. Let g be 1*((l - 1) + 1). Solve -4*j - j - g = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*y - 510 = -4434 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229837?\nAnswer: 229837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 817*r - 17. Is q(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 197. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84 - -3) + (-86 - -17)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010 divided by 29?\nAnswer: -3010\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*1*27\/(-27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/6)\/((-11)\/297). Let c = -58 + r. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 40. Let s = -294 + 298.92. Let v = 5 - s. What is the third biggest value in v, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -29*z**2\/2 + 328. Let q(b) = 14*b**2. Calculate q(p(u)).\nAnswer: 11774*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10890 (base 12) in base 2?\nAnswer: -101010111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 4*q - 4, -2 = -5*z + 4*q. Solve 5*m - 6*m = 2*j + 12, 0 = z*m - j - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 11, m: 1, n: 1, i: 4}. Give prob of picking 1 i, 1 y, and 1 m.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -53. Put 4, -2, b, 1 in decreasing order.\nAnswer: 4, 1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**2 - 11*y + 17. Let j(d) = -7*d**2 + 6*d - 9. Let h = -1 - 5. Let b(z) = h*v(z) - 11*j(z). Find the first derivative of b(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -301 in 3, 37, -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - 3*y**5 + 7*y**5 + (3*y**3 - 4*y**2 + 4*y**2)*(2 - 6 - y**2 + 3).\nAnswer: 2*y**5 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 25, 28?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2. Suppose 0*m = -m + 2. Let a(q) = 2 - m + q. Calculate a(l(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*h - 5, -h = 4*c + 2 - 3. Let n = 6 - c. Suppose 3*b = 5*b - n. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*c + 3, 3*s + c - 1 = 6. Suppose -s*f - 2 = -0, -f - 7 = -3*i. Calculate the least common multiple of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -26*m. Solve -4*l + 16 - 8 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 117. Suppose 5*t + 1 = -3*d, -6*d - 3*t = -d - 9. Suppose -61 = -d*y - 2*u, -3*y = -5*y - u + s. What is the remainder when 33 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, d: 4, n: 1, y: 1, w: 3, l: 6}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggqqgggqg. Give prob of sequence qqqg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165.9 - -121.45. What is r rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 130, 25, 3 in increasing order.\nAnswer: 3, 4, 17, 25, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365360067.\nAnswer: 3, 29, 1399847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1237763*g + 1237763*g + 46*g**2.\nAnswer: 46*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*o - 60, -3*n - 55 = -5*o + 3*o. Let h = -12 - n. What is the third derivative of -u**3 + 22*u**2 - 7*u**h - 33*u**2 wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13177 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**2 + 2*r + 10*r**2 - 10*r**2 to u*r**2 + q*r + b and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*h**2 + 36*h**2 + 1 - 3 - 50*h**2 - 264*h**4 wrt h?\nAnswer: -6336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 373.73 and -4.\nAnswer: 369.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4949, 5083, 5217?\n\"Answer: 134*x + 4815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-231)\/(-14) + -16)\/2. What is the closest to -1 in 3\/4, -4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1475 - 1467. What is the third biggest value in 23\/5, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*t + 3344 = -3658 - 3484 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g - 2. Suppose 45 = 13*n - 7. Calculate k(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45419000 to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(10\/(-4)). Let t = -85 + 339\/4. Put -5, t, w, 2\/7 in descending order.\nAnswer: 2\/7, w, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Let f = 2 - -5. Let h = t - f. Which is the second smallest value? (a) h (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34788.\nAnswer: 2, 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-248)\/2852 - 1083\/6854 and -46\/41?\nAnswer: 12218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/30 and 121\/294?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6374, 20575, 44242, 77375?\nAnswer: 119974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 30 + 18 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + a)*(240*a + 49*a + 52*a)*(0 - 3*a + 0) + 0*a**3 + 2*a**3 - a**3.\nAnswer: -3068*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1424*m + 89. Let o(u) = 95*u + 6. Let w(d) = -6*a(d) + 89*o(d). Let j(y) be the third derivative of y**5\/30 + 195*y**2. Give w(j(r)).\nAnswer: -178*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 3*l + 14*l + 8*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12072 rounded to the nearest 100?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -830 + 871. Suppose 0 = -3*a - 0*a + 408. Let f = a - m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.048, 2\/17?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 902156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -420664 greater than or equal to -420668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100210 (base 3) in base 12?\nAnswer: -bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16016.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187860.75 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/35, -0.2, 0.1, 4, -4, 19\/294, -13?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r + 7*r + 8*r - 4 in the form j + w*r and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1 = 2*o - 3, 4 = -5*n + 4*o. Let f = 7 - 4. What is the nearest to -2\/7 in n, -2, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 - 102*b + 72*b in the form q + a*b and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 8*c - 4*s = 29, 4*s = 2*c - 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*r + 61*r + 31*r.\nAnswer: -41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60346 is divided by 226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1)\/(3\/(-24)). Let t = a + -4. Let j = -3 + t. Let l(g) = -3*g + 1. What is l(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1122 = 1044*o - 857*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1454\/711345 + -4\/5045. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47426, -47623, -47822, -48023?\nAnswer: -48226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q - 72 - 115. Calculate the remainder when 96 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2348823383 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1331) - (1 + sqrt(1331)))**2*-6 + -4 + (-2*sqrt(1331)*1 + 0)*-1.\nAnswer: 26 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 15 = 6*g. Suppose 5*u = z + 5 - 4, -79 = -5*z - g*u. Calculate the smallest common multiple of 4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13215 times 61076?\nAnswer: -807119340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 39*g**2. Suppose 14 = 4*u + 1098. Let q = -152 - u. Let x(m) = q + m**2 - 119. Determine x(f(c)).\nAnswer: 1521*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -843\/20 (b) -31 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -418, 7, -0.5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5337169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwpc when four letters picked without replacement from cpwcppc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2 - 18. Suppose 0 = -5*z + 4*k, -2*z - b*k - 13 = -41. Solve -2 + z = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 35*((-68)\/(-20) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21774 + 9208 = 14*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 23*k**4 + 50*k**3 + 2*k**2 - 49*k - 25.\nAnswer: -(k - 25)*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 11. Let n be (-84)\/3*7\/(-14). Let t be j(n). Suppose -3*m + 5*u + 307 = 0, 74 = -5*m - t*u + 597. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3 + (0 + 0 + 1)*(-4 + 2 + 3) - 1 - 2 + 1 - 2 + 4 - 1 - 89 + 220 + 531)*(15*o**3 + 12*o**3 + 7*o**3) to x*o**2 + a*o**3 + q*o + w and give a.\nAnswer: 22576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -85.62*-1317\nAnswer: 112761.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -82087421 <= -82087421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3603005l in millilitres?\nAnswer: 360.3005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -589? (a) 151 (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytk when three letters picked without replacement from wtyytwttykttttwtktt.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7336012 divided by -3236\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1. Let m(u) = -8*u + 24. Let q(f) = m(f) - 24*v(f). Let a(b) be the second derivative of b**4\/12 + 4*b. Calculate a(q(d)).\nAnswer: 64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13639524463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1826, -960, 1394, 5980, 13542, 24824?\n\"Answer: 124*p**3 - 2*p - 1948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -11, 16, 79, 190?\n\"Answer: 2*g**3 - 11*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100\/75*-2*(-6)\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327662?\nAnswer: 2, 173, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*i**2 - 114*h*i*l - 23342*h*i - 649*h*l + i**2*l + 4*i**2 + 7*i + 9*l + 8 wrt l.\nAnswer: -114*h*i - 649*h + i**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:34 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 62*t - 67*t - 56, -8*t - 56 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*g + 10, -2 + 12 = -5*t - 5*g. Let p = -0.6 + 0.4. Which is the nearest to -3? (a) t (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85502, 85504, 85506, 85508?\nAnswer: 85510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + (4*sqrt(864))\/(-4*1*sqrt(3)))**2*1.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -112769005.\nAnswer: -112769005.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(352))\/((sqrt(12)*2)\/sqrt(6)) + 5.\nAnswer: 5 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 + 32*n - 2521. List the prime factors of h(-57).\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 + 0*r - 7\/3*r**3 - 1. Let x(h) = h**2. Give v(x(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (4 - 7))*-77. Calculate the smallest common multiple of 16 and n\/(-10) + (-18)\/(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.14 + 0.14. Let a = -0.2 - -4.2. Let q = b + a. What is the second smallest value in 2\/7, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnw. Give prob of sequence nw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 349, 674, 1275, 2236, 3641?\nAnswer: 5574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/77704501 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let k(r) be the first derivative of 0*r + 1\/3*r**3 + 1\/4*r**4 + 1 + 1\/2*r**2. Give k(u) + 3*q(u).\nAnswer: u**3 + u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u - 2. Let c be g(-2). Let d be 1 + (c + -1)\/(-1). Let o(f) = -4*f**2 + 1 - 5*f + 3*f - f**d. Calculate o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48, 0.3, 0.02?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q + 0*q - 2*q)*(108 + 121 - 49)*(3 - 1 - 1) to the form t*q + s and give t.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31829288513\/2478735 - 4869\/367220. Let r = 12840 + l. What is the common denominator of 49\/10 and r?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 1)*(10*a - 7 - 12*a + 4).\nAnswer: -14*a - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 197690815*c**3 + 1 - 197690813*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -980\/3*d**2 + 0*d + 140\/3*d**3 + 0 - 5\/3*d**4.\nAnswer: -5*d**2*(d - 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00380803696 to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let l(f) = -31*f - 11. Let d(i) = -5*c(i) + l(i). What is the remainder when d(-5) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + 1. Let s = z - 30. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1033, 2691, 5483, 9409?\n\"Answer: 567*b**2 - 43*b + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19494*a**4 - a**3 - 498814*a**2 - 3 wrt a?\nAnswer: -467856*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9.1 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 + 24*k**2 + 467 - 233.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 17*t - 167. Let i be o(-31). Does 16 divide ((-2)\/(-4))\/(0 + (-1)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 - 8 - -6) - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 759463659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -17\/86 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 1. Let q be (-57)\/u - (-2)\/8. Solve s - v + q = 4*s, 9 = -s + 5*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.039 + -0.039. Let n = y + -26. What is the nearest to -1 in -5, 1\/4, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -21*m**2 + m + 21. Let v(b) = 12*b**2 + 6 - 21*b**2 - 2 + 5*b**2. What is 2*k(l) - 11*v(l)?\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (40\/14)\/(560\/392). Let a(f) = -2*f**2 + 2. Let h = -28 + 46. Let s be 1\/(2 + h\/(-10)). Let u(q) = 3*q**2 - 5. Calculate d*u(y) + s*a(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27233 divided by -6?\nAnswer: -27233\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = 3. Let i be (-26)\/3 + p\/(-3). Let j(z) = -35*z**2 + 9*z + 12. Let f be j(i). Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ood when three letters picked without replacement from {i: 1, o: 7, d: 11}.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8056004 to the power of 1\/2, to the nearest integer?\nAnswer: 2838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/3 + 31*s**4\/3 - 44201*s**3\/3 + 706919*s**2 - 1369680*s + 677484 = 0. Calculate s.\nAnswer: -246, 1, 51, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 22*d - 375. Let f(k) = 125*k**2. Let s be (-12)\/6 + (3 - 0). Let l be f(s). What is the highest common divisor of l and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415 - 362. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -1\/8 (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/(-4) - -1)\/((-43)\/42226) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 - 38 = 86*t + 545 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/229 and 6\/32635.\nAnswer: 7473415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/2 + -76\/9. Let j(x) = -8 + 3*x**3 - x - x**3 + 9*x**2 - x**3 - 2. Let a be j(-9). Is a bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54316445 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452741?\nAnswer: 173, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 944 + -12266\/13. Let g = u - 70\/39. Sort g, -0.5, 0, 4 in decreasing order.\nAnswer: 4, 0, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -810, -1216, -1626, -2040, -2458?\nAnswer: -2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - 2*t**2. Let f(v) = 2*v**3 - v - 1. Let l(w) = 2*f(w) - p(w). Determine l(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 749, 15, 141 in ascending order.\nAnswer: -3, 15, 141, 749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - m**2 + 0)*(3 - 3 - m**2) + 20*m**2 + 19*m**4 - 20*m**2 to the form b*m**3 + d + i*m**4 + g*m**2 + t*m and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 9:45 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 240 + 349)*(1 - 1 - 2*g**2).\nAnswer: -908*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (1 - 0 - -7) + -54 + 50 - 100.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -724*l**2 - 2 + 394*l**2 + 353*l**2 + l + 5*l**4 - 5*l**3 to the form d + v*l + h*l**4 + b*l**3 + x*l**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/7644*84*3675\/(-60).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8727, -17462, -26199, -34938, -43679, -52422, -61167?\nAnswer: -69914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -14 + 2. Suppose 54 = g*z - 3*w, 4*z - z + 3*w = 66. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let x(a) = -a**3 + 4*a**2 + a - 2. Let z be x(4). Solve z*p + 0*p + y*l + 20 = 0, -4*p + l - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 9 - 29 = 0. Let v(s) = -s**2 - 5*s + 3. Let q(n) = -n**2 - 4*n + 2. What is i*v(l) - 3*q(l)?\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210121011120 - -11?\nAnswer: 2210121011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.141 times 0.2778\nAnswer: 0.0391698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1166, -1179, -1214, -1283, -1398?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1989\/(-65))\/17*(-20)\/(-138)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + -2*(3 + -6*((sqrt(1573) + -2)*5 - sqrt(1573)))**2.\nAnswer: -1820029 + 66528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**3 + 83*w**2 + 757*w + 3979978.\nAnswer: 9*w**2 + 166*w + 757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**3 - 27*v**2 + 125.\nAnswer: -12*v**2 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74598007 to 5 dps.\nAnswer: 0.74598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1412 (base 5) to base 9.\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -1\/12*s**4 + 3\/20*s**5 + 0 + 0*s - 4*s**2 + 0*s**3. Let r(n) = 0. Calculate n.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**8\/4200 + t**6\/300 + t**5\/150 - t**3\/2 + 7*t. Let l(f) be the second derivative of x(f). Suppose l(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.702496 decades in centuries?\nAnswer: 0.3702496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = 130. Let q be (7 - 16\/((-160)\/675))*-2. Let v = x - q. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 11760?\nAnswer: 1\/3920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*r + m, 6*r - 8*r = 5*m + 17. Suppose -2*h + 0*d + 3*d + 682 = 0, 1364 = r*h + 4*d. List the prime factors of h.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-6)*w*w*w**6)\/(w*w**0*w*w)**(-32))\/((w\/(w*w**4*w*w)*w\/((w\/(w\/((w*w**(-1\/6)\/w)\/w)))\/w))\/(w**(-5)*w**(-1\/5))) assuming w is positive.\nAnswer: w**(2899\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 765123 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*s**2 + 104*s**2 + 60*s**2)*(5*s + 1 + 1 - 3*s) + 37 - 37 - 9*s**3 + (-2*s**2 - s + s)*(-3*s + 0*s + 5*s).\nAnswer: 255*s**3 + 268*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 11. Let -31*x**2 - b*x + 7*x**2 + 22*x**3 - 6*x**4 + 26*x = 0. Calculate x.\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 5*q + 27. Let a = q + -4. Suppose 0 = -2*n + a + 5. What is the remainder when 18 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -6*b - 5. Let m be ((-2)\/(-6))\/(b\/9). Let s = -0.2 + 0.1. Is m at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 25450554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 55*z**3 + 100*z**3 - 48*z**3 - 32 - 36.\nAnswer: -3*z**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*12266\/(-8220)*(-18)\/(-24). Let r = 4\/685 - h. Find the common denominator of -61\/60 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3556\/16633?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.05, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(5\/3)*(v**1\/v*v)**2 assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49.1, 8, 1\/3.\nAnswer: 1\/3, 8, 49.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r + 9. Let s be k(-1). Is 2 - s - (-22431)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 4*y - 2. Let t be m(3). Solve -t = u + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/(-4)*10\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11186597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 20*n**2 + 19*n - 11. Give d(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -54 + 18. Let h be 8\/6 + 3\/a. Suppose -4*j + 0*j = 5*z - h, -2*z + 6 = 3*j. Put -2, j, 5 in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*j + 366*j - 7*j**2 - 2582 + 2582 - 127*j - 129*j.\nAnswer: -7*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282529 divided by 3.\nAnswer: -282529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 408786*m**3 + 17740*m**2 - 2*m wrt m?\nAnswer: 2452716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7236426277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-922)\/(-3688)*132\/(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4920 - 4918. Let y = -29.5 - -29. Which is the nearest to -33? (a) y (b) p (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011601374291 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-2136)\/(2 - -4). Is q at least as big as -350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2.8227?\nAnswer: -7.8227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0166 - -2.9166. Which is the third smallest value? (a) 3 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 234\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 15 = 6*k. Suppose 0 = -0*c + k*c - 6. Suppose 5*m + c*q - 10 = 32, 2*q + 8 = 0. Calculate the smallest common multiple of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 701 - 450. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/12 + 5*h**4\/8 + 5*h**3\/3 + 5*h**2 + 30*h. Let o(q) be the first derivative of i(q). Factor o(v).\nAnswer: 5*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 222?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a5a78 (base 12) to base 3.\nAnswer: 20111101201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 328*a**3 - 450*a**3 + a - 25 + 10 wrt a.\nAnswer: -366*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d97ad (base 14) to base 12.\nAnswer: 214225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4361, -11298, -18235, -25172?\n\"Answer: -6937*i + 2576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1295*i + 1479. Let c(k) = -2587*k - 2958. Let o(s) = -6*c(s) - 11*g(s). Differentiate o(d) wrt d.\nAnswer: 1277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/2 of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 88*q = -83*q + 5, q - 10 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 758*y - 37. Is h(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5 - 16788*h**4 - 319630*h**3 - 538920*h**2 + 4105928*h - 3230592 = 0.\nAnswer: -16, -6, 1, 2, 8413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let o(h) = 183 - 181 + 2*h + h. Calculate o(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:49 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 2*d + d + 4, -2*d = 5*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/z**(2\/15)))**(-28))**10\/(((z\/z**(-3)*z)\/(((z\/(z**(-1)*z))\/z*z)\/z))\/(z**(-2)\/z**(2\/29))) assuming z is positive.\nAnswer: z**(20497\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -461 - -460. Let o(a) = a**3 - a**2 + 1. Let t(y) = 318*y**3 - 6*y**2 + y - 1. Let u(c) = k*t(c) + 5*o(c). What is the second derivative of u(v) wrt v?\nAnswer: -1878*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 52.000918. What is l rounded to 5 dps?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than -1589.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -406 - -7696\/19. What is the common denominator of (2 + -5)\/((-7)\/(-16)) and y?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v**3 - 5*v**2 + 5*v - 5. Let l(o) = 6*o**3 + 2*o**2 - 3*o + 2. Let k(h) = -5*l(h) - 2*w(h). What is the second derivative of k(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -0.3 (b) -0.5 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455) - sqrt(4455)*-1*2) + sqrt(4455) + sqrt(4455))\/((sqrt(1078)*-1)\/sqrt(2)).\nAnswer: -45*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(99)*3 - sqrt(99))*4)\/((sqrt(18) + (sqrt(18) - (sqrt(18)*3 + sqrt(18))*-2) + sqrt(18))\/sqrt(2)))**2.\nAnswer: 64\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -100757.833861.\nAnswer: 100758.833861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1. Let h(y) = -7*y - 1 - 12*y + 11*y - 4. Let n(w) = -4*f(w) + h(w). What is n(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 21*n**2 - 43*n - 55. Determine r(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 9*t - 10. Let m be p(-8). Put 1, m, -18 in decreasing order.\nAnswer: 1, m, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7525 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 609 + -606. Sort -29, 0, r, 5 in ascending order.\nAnswer: -29, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1788 and -1464?\nAnswer: 2617632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 925.2412 milliseconds?\nAnswer: 925241.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**3 - u - 5. Let s(z) be the third derivative of 0 + 63*z**2 + 1\/6*z**6 + 0*z + 0*z**5 + 1\/8*z**4 + 7\/3*z**3. What is 11*r(y) + 4*s(y)?\nAnswer: 3*y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13155 = -23*q + 16134 + 4061. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1629*s**2 - 24*s**3 - 1629*s**2.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5231?\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 40 + 131 = 0. Suppose 657*h - 7959 = 278*h. What is the remainder when n is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8*p = 7*p + 5208, 5*p = -2*f + 5200. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849818 (base 10) in base 11?\nAnswer: -530532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + v - 2. Let g be 13\/4 - 1\/4. Suppose -2*f - g*o - 16 = 0, -2*f = -0*f + 2*o + 16. Let y(q) = -q**2 - 9*q - 6. Let a be y(f). What is t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 2*l + 230. Let a = l - -42. Is (-6 + -217)*(a + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76.7 + 77. Let r = 1.2 - 1.2. Sort n, 1, r in decreasing order.\nAnswer: 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.04236781?\nAnswer: 0.08473562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -22. Let q = o - 9.003. Let l = -0.00354 - q. Round l to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379057 is divided by 37899.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/4 + 182700285*d**2\/2 - 33379394139081225*d\/4 = 0. Calculate d.\nAnswer: 0, 182700285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*v**4 + 186*v**4 + 1 - 60*v**4 - 67*v**4 + 41*v to the form d*v**3 + f*v + c*v**2 + m*v**4 + j and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -2133, 2 in increasing order.\nAnswer: -2133, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-7)*(s\/((s*s**3*s)\/s))\/s**7)**(-14\/5) assuming s is positive.\nAnswer: s**(238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3 - 26\/3*n**4 + 0*n + 8\/3*n**2 + 0.\nAnswer: -2*n**2*(n + 1)*(13*n - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-9))\/(205\/(-492)). Let g(x) = x + 7. Let r = -18 + 13. Let s be g(r). Sort i, 1, s, 5.\nAnswer: i, 1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.73 (b) 0.19719 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/653 and -59\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34145768 divided by 1\nAnswer: -34145768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*w - 5*x, -7*x = 3*w - 2*x - 24. Suppose 2 = -w*a + 8. Suppose f - 72 = -4*p, -a*p - 2*f + f + 34 = 0. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7956\/5967)\/((-1)\/18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 16*r**2 + 23*r + 34. Give n(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -83. Put p, 6, 3, 1 in increasing order.\nAnswer: 1, 3, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -94 and -0.03?\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 21 = -4*b, 420*b - 9 = -f + 419*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/1058 or 1?\nAnswer: -21\/1058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 14*f**2 - 7*f + 28. Let k be p(-14). Let t = 70 - k. Which is greater: -55 or t?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2536*u + 873 = 2539*u. Which is greater: u or -33?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*r - r. Let b be ((-2)\/r)\/(1\/12). Find d, given that -d**4 - 3*d**b + 0*d**4 + 14*d**5 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25371742.\nAnswer: 2, 11, 1153261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0 + 128*d + 5\/2*d**2 - 1\/6*d**3. Give m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 272?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0 - 2 - 3 - 3*b. Let n(l) = 19*l + 67. Let h(f) = -48*f - 165. Let j(y) = -5*h(y) - 12*n(y). Determine 5*j(r) + 21*m(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 12*x**2 + 0 - 1\/120*x**5 + 0*x**4 + 0*x + 1\/3*x**3. What is f in j(f) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 13 - 1 = 0. Solve 0 = -j*g + 4 - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -447 - 5?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:51 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - (-2)\/3. Suppose 3*u - 21 = -u + x, 3*x + 3 = d. Suppose 0 = -u*h + h + 120. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.1133 - 0.284.\nAnswer: 37.8293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 1403 = 2797. Calculate the lowest common multiple of v and 1272.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 1*sqrt(704) - sqrt(33)\/(sqrt(12)\/sqrt(4)).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.4503 less than -0.29?\nAnswer: 67.1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1560*b + 3560. What are the prime factors of a(4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qunquuunuq. Give prob of sequence qn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-4)*-9*-197. Suppose 270 + q = 27*g. Calculate the greatest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(128) + -2 + -1 + sqrt(128))*-5 - (1 + sqrt(128) + -1 + 1*sqrt(128) + (sqrt(128) - (5 + 1*sqrt(128)))))**2.\nAnswer: -322560*sqrt(2) + 1798872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/7 - 183*b**2\/7 + 3637*b\/7 + 3819\/7.\nAnswer: -(b - 19)*(b + 1)*(b + 201)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 25*n - 18. Let u be (2\/(-4) + 1)\/(2\/24). Let b be j(u). Suppose k = h + 2*k - b, 2*h = -5*k + 276. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5429424462 to the power of 1\/2, to the nearest integer?\nAnswer: 73685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359262 is divided by 179525.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -42*g. Let v = 40 - 36. Suppose -v*r = 12, -3*y - 5*r = 17 + 1. Is f(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-36))\/((-1)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 9}. What is prob of sequence hhh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 2*d + 6. Let s(n) = n**2 + n - 5. Let u be s(-4). Let m(z) = 5 - 6 - 2*z**2 - 1 - 161*z + 7 + 163*z. What is u*m(x) - 6*q(x)?\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5 + 316*m**4 - 2476*m**3 - 5884*m**2 - 3096*m = 0. What is m?\nAnswer: -86, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16164 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.556142mg to micrograms.\nAnswer: 4556.142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - 24786\/(-63))\/((-2)\/(-14)) - -3. Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1584306 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 174*a = -147*a - 259*a + 16443 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 9. Let p(i) = -i**2 - i - 10. Let f(q) = 2*p(q) - 3*w(q). Let m be f(-6). What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 22, 73, 164, 307, 514, 797, 1168?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n. Let a(y) = -y. Let u(s) = 5*a(s) - h(s). Let f(b) = -29*b**2 - 2. Give u(f(g)).\nAnswer: 58*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68484002 is divided by 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.4 + -2.2. Let x = q - 0.2. Let s = x - 10.0000092. Round s to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 3, o: 6, w: 1, e: 3}. What is prob of sequence yeoo?\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -249.364 - -249.364152521. What is h rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 10899999*j**2 + 3*j - 2. Let x be h(1). What is x rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 3.1. Put q, 0.03, 4, -2 in decreasing order.\nAnswer: 4, q, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1407\/296 - 1\/296. Suppose 5*o - 51 = -1. Calculate the common denominator of a and 0 - -2 - 131\/o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5266605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(4 + 0 - 6)*(q + q - q) - 31*q - 6*q + 7*q + (3 - 1 + 0)*(-1 + 1 + q) - q + 6*q - 3*q.\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.07372 or -0.2?\nAnswer: -0.07372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (2*sqrt(112) - sqrt(112)))**2 - (sqrt(14)\/sqrt(2) + 0 - sqrt(847)*-1)**2.\nAnswer: -1129 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 89*r + 11. List the prime factors of n(17).\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 382 - 62*g - 766 + 377 in the form k*g + w and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286527 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3)\/((-17)\/5508*6). Calculate the greatest common factor of 120 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - v. Suppose -b - 11 = -3*t, v*b - 3*b - 3 = -3*t. What is the smallest common multiple of b and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 0. Let c = -26 + 21. Is f not equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = 0. Suppose c = b + b - 4. Suppose 0 = -u - 4*f + 93, -f + b*f = -3*u + 257. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + 0*h**3 - 112*h - 5 + 115*h. Let t be r(3). Suppose 25 = 5*d + 5. Is d greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 - b + 1. Let y be t(-4). Solve y = -2*p + 5*j, -3*p - 6 = j - 0*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21732749*f**3*v + 26970*f**3 + 16*f**2 - 4 with respect to v.\nAnswer: 21732749*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 + 0 + (-11 - -11). Solve 10*k = x + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1\/8, -16, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004711 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48267702 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5437, -15374, -25311, -35248, -45185?\nAnswer: -55122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-99)\/(-2))\/(1\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3117 * 0.21\nAnswer: -654.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 105. Suppose -3*j + 34 = n, 178 = n + f*n - 2*j. Solve -47 = 2*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -11400?\nAnswer: -11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33065485736 and -0.4?\nAnswer: 33065485735.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (-104)\/(-5) + 1 + 4\/20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 1:33 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 39381 + 39381 + 2*a**3 + 41*a + 3*a**4 in the form q*a**3 + o + v*a + l*a**4 + p*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z**(8\/5))\/z))\/(z*z**(-4\/11)\/z*z))\/(z**(3\/8)\/z*z\/z**4) assuming z is positive.\nAnswer: z**(611\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3143017, 3143018, 3143019, 3143020, 3143021, 3143022?\nAnswer: 3143023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 27308*m + 410070. What is f(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1274 = -3*m + 364, 5*q - 3*m = -1124. Let l = -2032\/9 - q. Let u = 1.6 - 0.6. Is l bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/10758 and 42\/109373.\nAnswer: 656238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17481.\nAnswer: 3, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3) + 4 + -2. Suppose 0 = 4*n, 0 = 3*i + u*n - 54. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 241?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 - v + 2. Let a be i(7). Let z(q) = 35*q - 632. Let d be z(18). Put a, d, 1, -7 in decreasing order.\nAnswer: 1, d, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 70*m - 66. Let j be k(-34). Suppose j*h = 97*g - 98*g - 3, -5*h + 10 = -g. Which is greater: -2\/403 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.12274, 2, -152, 4?\nAnswer: -0.12274","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3*x)*(-2 + 4 - 3) - 5478 + 257*x + 10841 - 5376 in the form m + p*x and give p.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 19*c**3 - 13*c**2 - 13*c - 13. Let y(g) = 3*g**3 - 2*g**2 - 2*g - 2. Let t(j) = 20*j + 1. Let u be t(-2). Give u*y(h) + 6*a(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -2*m, -28 = -3*m - f - f. Suppose -7 = -m*b + 5. Solve -6*u + 2 = -5*k - 2*u, 0 = -b*k + 3*u + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -591\nAnswer: -2\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 4464641.4?\nAnswer: -4464641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18)*24\/48.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 + 6*z + 9. Calculate c(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3670 - 3673. Which is the second biggest value? (a) o (b) -30 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.81. Let x = i + -0.39. Let n = -19 - -18. Which is the biggest value? (a) x (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 greater than -2277\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**5 + 66*m**4 + 360*m**3 + 4*m**2 - 4*m. Let u(t) = -2*t**4 - t**2 + t. Let p(b) = -a(b) - 4*u(b). What is q in p(q) = 0?\nAnswer: -20, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/((-5)\/(-110)). Put 2\/17, d, 4 in ascending order.\nAnswer: d, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (-1 - (-9 + -1 + (-6 - -10)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -531*b**2 + 28*b + 6. Let q(i) = -533*i**2 + 33*i + 8. What is -6*f(g) + 5*q(g)?\nAnswer: 521*g**2 - 3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 980.4292\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 269261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1744 divided by 25\nAnswer: 1744\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.5, -0.3, -13\/805, 2.\nAnswer: -0.5, -0.3, -13\/805, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3 - 175974*i**2 + 7728320817*i + 1178773979288 = 0.\nAnswer: -152, 88063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.32 - 7.30852. Round k to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggprrrsgggggppgggp. Give prob of sequence rsr.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0*d**(2\/3))\/(d**(2\/5)\/d**(-1\/6)) assuming d is positive.\nAnswer: d**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*1\/(1\/2). Let j(l) = -3*l**3 + l - 2 + 3*l**i - 3*l + 2*l**3. Determine j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*-4*((sqrt(1584)*1*1 - sqrt(1584))**2 + 4*(1*sqrt(1584))**2 + sqrt(1584))*-5.\nAnswer: -633595 - 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/(1*40\/(1040\/(-78)))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h, -5*s - 5*h - 51 - 39 = 0. Let g = -40 + s. Let j = -31 - g. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 57, 37, 15, -9, -35, -63?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177407\/18 + 9850. Let v = 86730 + -13269628\/153. Find the common denominator of v and w.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1001.19389888 and -0.2.\nAnswer: 1000.99389888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54.7 - -10.3. Let q = w + -65.3. Put 5, -3\/5, -5, q in descending order.\nAnswer: 5, q, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-15*18\/(-540)*-14\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 694563975 to the power of 1\/2, to the nearest integer?\nAnswer: 26355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 5. Let a(i) = -40*i. What is h(a(d))?\nAnswer: 160*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 25*j - 203. Solve k - 4 = j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -7 in increasing order.\nAnswer: -7, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8685 = -7*f. Let x = 26023\/9 + f. Find the common denominator of x and 8\/1320*-204 + (-3)\/((-30)\/(-4)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2616*w**3 + 7649*w**3 + 5625*w**3 - 18797*w**3 - 21728*w**3.\nAnswer: -29867*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5198 and 1582?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -924, -1848, -2772, -3696, -4620, -5544?\n\"Answer: -924*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:02 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:34 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkll when four letters picked without replacement from llklkllllllllkl.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**3 + y - 1. Suppose z - 3 = -5*s + 2*z, -3*s = z - 5. Let v be i(s). Let r(q) = -q**2 - 7*q - 7. Let w be r(v). Is -7\/6 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (3 + -2 - 2). Suppose -6 = -k - i. Find the second derivative of -6*s + 3*s**k - 9*s**3 + 0*s wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 5692118896.81?\nAnswer: 5692118897.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 6, a: 4, h: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2121 - -1410. Let y = 714 + b. Solve y*x + 10 = -h, -5*x = -2*h + 2 + 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 3*z**2 - 6*z + 2. What are the prime factors of y(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/(-2) - (17 + -13). Let s = z + -18. Solve -j = -d + 5, s = j + 4*d - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-35)*15\/2. Suppose -5*d + 3 = -12, 0 = -i + d - s. Let j be i + -4 - -5 - -4. Solve 3*q = 2 - j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2. Let z(g) = -g**2. Give a(z(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4*m)**(-5\/7)\/((m*m**(-8)\/m*m)\/(m*m**(-9\/4))))**(-21) assuming m is positive.\nAnswer: m**(-183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 240 + -238. Solve -j*n = 25 - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:23 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -b + 10, 0 = 2*o - 3*b - 0*b + 8. Is ((-45)\/135)\/(o\/(-7404)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -3\/2 (c) 10 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 6*y - 1. Let a(u) = -18*u**2 - 119*u - 70. Let q be a(-6). Determine k(q).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 61 = 3*g, -w + 17 + 4 = g. Solve 5*m - g = -5*u, 0 = 4*m - 6*u + u + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -487 + 598. Let a be 667\/l - 210\/35. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, v: 3, b: 1}. Give prob of picking 1 i, 2 v, and 1 b.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 2. Suppose 12 = 4*u, u = c + c + 7. Determine p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 93 + 122 + 103 - 13*j**2 + 127 - 512 as r*j**2 + c*j + s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10 + 18 + 3192\/(-70).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 - 9*g**2 + 14*g - 6. Let p(b) = -5*b**3 + 10*b**2 - 15*b + 6. Let k(f) = 4*o(f) + 3*p(f). Factor k(m).\nAnswer: (m - 3)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -115*q - 1. Let l be t(-1). Suppose -k - 33 + 158 = 5*z, l = 4*z - 2*k. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x = -66*x - 28*x - 56 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1843 times -4\nAnswer: 7372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4871, -12315, -22335, -34931, -50103, -67851?\nAnswer: -88175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, c: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-36)\/(-9))\/(228\/627).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -54\/45185731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*a - 25 = 0, 3*n + 2*a = 5*n - 38. Suppose -v - 4*v = -n. Solve 0 = 2*w + w - 4*p, 19 = v*w + p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340*i = 1341*i - 3*h + 14, 5*i - 2 = 3*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.197 - 0.407. Let t = -1.21 - y. Which is the third smallest value? (a) t (b) -0.4 (c) 0.108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011100101 (base 2) to base 10.\nAnswer: -14565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 49251*i**3 + 49259*i**3 + 1.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Suppose -5 = -7*k + 163. Let i = -3 - -8. Calculate the remainder when k is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7709 times 0.17017?\nAnswer: 1311.84053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s - 49. Give r(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 14*p - 16*p - 10, -6*u - 28 = 4*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*(-3*y**4 - y**4 + 6*y**4) + 56*y**3 + 19*y - 13*y**4 - 55*y**3 - 20*y + 5*y**4 - 9*y**2 - 4*y**4 + 6*y**2.\nAnswer: -20*y**4 + y**3 - 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10900\/1 - -5*27\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 0*r**5 + 11\/6*r**7 + 0*r**2 + 0 + 0*r**6 + 31*r + 0*r**4 - 47\/6*r**3. What is the second derivative of d(v) wrt v?\nAnswer: 1540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 4:22 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhjhhjhhjhhhhhhh.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*0\/(-2)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15110325, 15110308, 15110291, 15110274, 15110257?\nAnswer: 15110240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:30 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46652191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (74\/1554)\/(2\/42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1293, 1305, 1331, 1377, 1449?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o + 8081. Let t(z) = -z. Give t(r(p)).\nAnswer: 5*p - 8081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8.1. Let t = 181 - 2351\/13. Sort t, -4, z in descending order.\nAnswer: t, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 746 + -746.01. Let b(s) = -s**3 + 4*s**2 - 4*s + 1. Let w be b(3). What is the closest to -2\/3 in v, w, -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41, 31, 105, 181, 259?\n\"Answer: j**2 + 69*j - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpppbyppyxfpppbbppbp. Give prob of sequence bp.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 1 = -12*o. What is the smallest value in o, -3, 2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 17, d: 3}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s - 4. Let n(m) = -3*m**3 - m - 1. Let d be n(s). Let t(p) = -d + p - p - 2*p. Determine t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*l. Suppose -l*j + 5 = -5*b - 20, -j + 5 = -b. Find the second derivative of -2*s + 0*s**2 - 2*s**2 + j*s wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+4476558.1179\nAnswer: 4476563.1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18365.2 + -18365. Which is the third biggest value? (a) -8 (b) 0.04 (c) u (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6, 0 = 2*x + 2*x - 5*t + 11. Suppose 5*g - 4 = x. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q + 3 + q + (-3*q + 4*q - 2*q)*(1 - 1 - 2))*(q**2 + 0*q**2 - 7*q**2).\nAnswer: -6*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)*c)**(-10\/9)*(c**(-2\/3))**(11\/6)*((c\/(c**7\/c))\/c**(2\/25))\/(c**(2\/7)\/(c*(c\/((c*c**0)\/c))\/c*c)) assuming c is positive.\nAnswer: c**(-77284\/14175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 70 = -6*x. Let d = x + -16. Suppose -3*q + 2*p = -20, -q + d*p = -p + 10. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3866825*k**2 - 1432151.\nAnswer: -7733650*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110001111 + 1101?\nAnswer: -111110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 315 - 2523\/8. Let v = 85069 + -85064. Which is the biggest value? (a) w (b) v (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = -2. Let b = 135 - 126. Solve -2*v = d - b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*h - 107*h - 96 = 0. Let w be 1 - (-1 - 0\/(-2)). Solve 3*u - h + w = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49.956 + -0.044. Let p = 50.3 + r. Which is the nearest to 0? (a) p (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)\/x*x**(-3))**(-22) assuming x is positive.\nAnswer: x**(462\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -109. Suppose -v = -5*c + v + 5855, g = -c - 4*v + 1171. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from ddwgwwwwwewdww.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -118*x + 827. Determine f(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/60 - k**4\/6 + k**3\/2 + 2*k**2. Let z = -1 + 6. List the prime factors of h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010309662694 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40311018 to the power of 1\/2, to the nearest integer?\nAnswer: 6349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47.6 and -347?\nAnswer: 16517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.288071 + -0.2402295\nAnswer: 0.0478415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28043613 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-27) - (-3)\/27*-4. Let m = 98\/195 + -4\/39. Solve 0*g**2 + 0 - 2\/5*g**3 + c*g + m*g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.7 + 5.7. Let c = -33.069472683 - -0.069453683. Let y = q - c. Round y to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from {c: 6, l: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 18\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*g - 44*g - 21*g - 1458 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -177 + 294 + (-9 + 1 - (-7 - -4)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 5, -6, 0.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220223332111 + -10?\nAnswer: -220223332121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 818 and 595.4452.\nAnswer: 1413.4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -10204325?\nAnswer: -10204310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-9))\/((-15990)\/(-1755)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 71 (b) 7\/5 (c) 3 (d) 2 (e) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -255, -515, -783, -1065, -1367, -1695?\n\"Answer: -i**3 + 2*i**2 - 259*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -957\/17 + 8596\/153. Which is the nearest to 0.03? (a) 0.1 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = -26. Suppose -7*v = -f*v + 10. Find the second derivative of 3*o**v + o**3 + 2*o**5 + 4*o - o**3 wrt o.\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 11*v**3 - 609*v**3 + 0*v.\nAnswer: -620*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7736 divided by 2.\nAnswer: -3868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1938869, 3877740, 5816611, 7755482?\n\"Answer: 1938871*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgx. Give prob of sequence gs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2502 and 23326146?\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 8*b + 11. Give y(12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + -1157136?\nAnswer: -1157166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20838\/(-18) + 2\/(-6). Let h = o + 682. What are the prime factors of h\/(-35) - (-2)\/5?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-44)*(8 + (-1088)\/144)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3044 is divided by 254?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 1 = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15746 is divided by 889?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -186\/5 (b) -0.4 (c) -12.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, -57, 1, 0, 10, -1 in increasing order.\nAnswer: -160, -57, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 12:29 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 4:59 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*o**2 - 2*o**4 - 5*o**2 + 8*o + 1 + 2 as l*o**4 + z*o**2 + d*o + p*o**3 + u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -283493.953 rounded to the nearest 100?\nAnswer: -283500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:50 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**4\/12 - 3*a + 10. Let i(t) = -140*t. Give i(s(n)).\nAnswer: 140*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10618\/125 or 0.5?\nAnswer: 10618\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4896, 10344, 15794, 21246, 26700, 32156, 37614?\n\"Answer: h**2 + 5445*h - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -6. Suppose 3*t + 3*q = -2*q + 90, -t = -5*q - 10. Suppose 0 = 4*b - 2*i - 76 + 16, o*i + t = b. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 3*x + 5. Suppose -5*c = -11*k + 7*k - 381, -384 = -5*c + k. Let i(m) = -72*m - c*m + 5*m**2 - 7 + 145*m. Calculate -5*i(t) - 7*n(t).\nAnswer: -4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = z - 14. Solve 0 = 4*q - z*q - 2*u - 6, 5*q + 3*u - 23 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3917652*j**6 - 191*j**2 + 3*j + 71?\nAnswer: 470118240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889787723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 128*m**3 - 488*m**2 + 990*m - 37. Give j(2).\nAnswer: 1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 2*s)*(-5 + 2 + 5)*(-1 + 1 - 1).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17. Suppose 4*n + w*n = 4*m + 80, 14 = n + 2*m. Solve -5*h + n = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 871*a + 1 + 3 - 1 + 8 to the form g*a + p and give g.\nAnswer: -871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - c + f, -3*f = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 61 - 61 + 2*t**2 in the form w + n*t**2 + o*t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - m + 4*m - m - 37.\nAnswer: 2*m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -113, -4, 8, 3, 4 in decreasing order.\nAnswer: 8, 4, 3, -1, -4, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/7920 and 86\/1755.\nAnswer: 308880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.8. Let f be (-2)\/((-40)\/68) + -4. Let w = -1\/166 - -1001\/830. What is the biggest value in u, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 + -109. Let r(h) = 311*h**2 - q*h**2 - 168*h**2. Let n(d) = -8*d**2. Determine n(r(f)).\nAnswer: -3200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 119 = 112 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 u, and 1 v when four letters picked without replacement from {e: 3, b: 5, z: 6, v: 1, u: 5}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = 14. Let t(b) = -2*b**4 + 5*b**3 + 4*b**2 - 3. Let a(r) = r**4 - r**3 - r**2 + 1. Let k(s) = i*a(s) + t(s). Factor k(z).\nAnswer: z**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7400414 + -51?\nAnswer: -7400465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1204)\/(-2520) + 6\/9 and -13\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -2442112?\nAnswer: 2442125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/12 - (0 - 3). Factor -6*v**3 + 0*v + v - s*v**2 + 7*v**3.\nAnswer: v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1021765758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -545 + 2422?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -0*l. Let d(n) = 4*n**2 - 12*n**3 - 4*n**3 - 3*n**2. Calculate the remainder when 66 is divided by d(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -113351?\nAnswer: 16\/113351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdbmbbdbbbbmmbbbb. What is prob of picking 3 b and 1 m?\nAnswer: 33\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -23, 50, 163, 322?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:56 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 426.\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -45\/807542?\nAnswer: -45\/807542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 7*h**2 + 5*h + 2. Let n(r) = 39*r - 800. What is the remainder when z(6) is divided by n(21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 889 - 220*i**3 + 2*i + 895 - 1784 - 12*i**2.\nAnswer: -220*i**3 - 12*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(117) + sqrt(117) + 1 + 0)**2.\nAnswer: 12*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4377364 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 41\/3*k**3 + 0*k**2 + 0 - k. Is j(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 13*n + 45. Let w be j(6). Solve w*z = 5*k - z - 35, 5*k - 3*z = 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k - 15746450 + 15754837 + 3*k - 340*k**4 + 3*k**3 wrt k.\nAnswer: -1360*k**3 + 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2998 (base 10) in base 7?\nAnswer: -11512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -67?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 4 + 4 + sqrt(1300) + -1)*6.\nAnswer: -240*sqrt(13) - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*p**2 + 0 - 3\/4*p.\nAnswer: 3*p*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -1811*o**7\/42 + 655*o**3\/6 - 3*o**2\/2 + 195*o. What is the second derivative of a(x) wrt x?\nAnswer: -36220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85978043?\nAnswer: 1783, 48221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23366 times 5\nAnswer: -116830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*x = 3*p - 4, 699*x = -4*p + 703*x + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:57 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4701.65 * 0.17\nAnswer: 799.2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 840653.1 hours in days?\nAnswer: 35027.2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (22 - 17) - 5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3 - 4705*o**2 + 15034325*o - 9548077875 = 0.\nAnswer: -7035, 1165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*j - 627, 4*j = -0*c - 3*c - 357. Let z = 80 - c. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:27 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q = 0. Let d(c) = q*c + 5 + c**3 + 0*c. Let p(t) = -3. Let r(y) = -7. Let s(i) = 9*p(i) - 4*r(i). Determine -d(l) + 5*s(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 1. Let t(b) be the first derivative of 20*b**2 - 6*b + 2484. What is t(l) + 6*w(l)?\nAnswer: 46*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 2764*i - 8280. Calculate s(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 17. Let w be f(-12). Let y(z) = z - 1. Let s be y(w). Suppose -s*v - 3*v = -35. Solve 5*i - v = 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39079?\nAnswer: 39079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 727, 725, 723, 721, 719?\n\"Answer: -2*i + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*d = 475, 5*r - d + 0*d = 475. Suppose r*f = 93*f + 6. Solve 0*k + 9 = -f*k + 3*n, k - 5*n + 11 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 6*a + 18. Let p be (13\/(-26) + 9\/2)*-2. Let u be k(p). What is the second derivative of -u*z**5 - 20*z + z**5 - 15*z**2 + 15*z**2 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 6, -0.5, -2\/233, -1, -2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 8. Suppose 4*v - 33 = -5*x, -5*v - 3*x = -v - 23. Suppose v*c = -p + 34. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -27*o. Let a(v) = 7 + 5*v - 7 + 4*v + 0*v. What is a(p(s))?\nAnswer: -243*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*d + 8, -5*d - 148 = 2*s - 150 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1404431 + 2?\nAnswer: 1404433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*w + w - 2*w)*(-11 + 11 + 4*w) as q*w + o + r*w**2 and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + g - 12 = 0, 4*z = 2*g - 4 + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8983.9 - 8984. Which is the nearest to o? (a) -5 (b) -1 (c) 270\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(1 - 4) - -498 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (-14 - (2 + -14) - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrj when three letters picked without replacement from rrjrrsjsrjrjr.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111222222221 (base 3) in base 5?\nAnswer: 32304220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + t - 5, 3*y - 4*t + 20 = 0. Suppose 2*h - 4 = -y. Suppose 3*z - 4 = 3*b + z, -h = 5*b - z. Which is bigger: 4\/7 or b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59450508 by 1524372.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c + 3 - 9. Suppose 0 = -5*n + 3*a + 21, 2*n - 3*n - a + 1 = 0. Let s be ((n - 2) + -1)*-1. Sort -4, s, c.\nAnswer: -4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/90*(-2 - -4)*-21. Solve -2*p + 3 = f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4194 (b) -2\/11 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5576 + 5566 = -10*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 12\/(-1 - 2). Let r(m) = 2*m**2 - 3*m + 4. Is r(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685433008 to the power of 1\/3, to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9658.5857 rounded to the nearest ten?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -607, -1371, -2441, -3817?\nAnswer: -5499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36141873 divided by -3?\nAnswer: 12047291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**4 + 6044*c**3 + 39514*c wrt c.\nAnswer: 84*c**2 + 36264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (-13 - 5) + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3203787?\nAnswer: 16018935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193531 * -0.05.\nAnswer: 9676.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -1 + 0)*2 - (1 + sqrt(1573) + sqrt(1573) + -2 + sqrt(1573)*-2 + 2))**2.\nAnswer: -132*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/5)\/(-8))\/(2\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a. Let p(r) be the first derivative of -r**3\/6 - 3*r - 2. Let c(d) be the first derivative of p(d). Determine k(c(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6443 - -1.0443. What is the second biggest value in z, 8, 1\/65, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, 23, 285 in ascending order.\nAnswer: -22, 4, 23, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.1921 meters to micrometers.\nAnswer: 238192100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32524358?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1224)\/(-60) - 20*9\/12.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/74920119 or 1?\nAnswer: -5\/74920119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/100890 and 43\/580678.\nAnswer: 26130510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18696831 divided by 6232277?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -139 divided by 124\nAnswer: -139\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * 2101.839\nAnswer: 8827.7238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 386433*r + 1. Let z(y) = -27*y. Determine o(z(t)).\nAnswer: -10433691*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -0.1 (c) 4 (d) 1\/3 (e) -67596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247 - -254. Solve -6 = f - 2*l, -2*f - 3*l = -3*f - u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -81\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(5 + 327\/(-165) + 34\/187). Solve 4*x - 5*r + w = -15, 19 = -x + 5*r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 0.2, 28, 1\/10, -6, -60\/13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 + 106682*f**2*w + 35*f*w - 6*f + 126*w wrt f?\nAnswer: -6*f + 213364*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35183 + 39592 + 51952 - 108573)*(-r**3 + 0*r**2 + 0*r**2) to t + a*r**3 + y*r + o*r**2 and give a.\nAnswer: -18154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157\/3 - 794\/15. Let z = -6 - -3. Let j = -2.9 - z. Which is the nearest to j? (a) -3 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 12788590.5 seconds?\nAnswer: 21.14515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6 - 3 + 6 + 5*i - i**2 - 2*i. Let o be w(4). Solve 2*z - z - 15 = -4*x, -2*z - 9 = -o*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from ddebdkdde.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(2\/23)))**(-7)*t**(-8\/9)*(t\/(t**5*t))\/t)**(1\/7) assuming t is positive.\nAnswer: t**(-1552\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 91812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p + 3. Let l(d) = 211*d**2 - 6*d + 9. Let r(c) = 4*g(c) - l(c). What is the second derivative of r(j) wrt j?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2435, 9312, 20651, 36452, 56715?\nAnswer: 81440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-3 - (-5 - -3)). What is the second derivative of 12*x - 11*x - 3*x**j + 2*x**5 wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-27 + (0 - -8 - (134 - 140)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(45)\/(sqrt(9)*1 + sqrt(9)) + (-1 + sqrt(5))*4 + (sqrt(55) - (sqrt(4455) - sqrt(4455)*2))\/((sqrt(88)*-2)\/sqrt(8))) + -1.\nAnswer: -17 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229698 by -1.\nAnswer: 229698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 481*r**4 + 77755*r**3 - 4324959*r**2 + 16382088*r - 16078716.\nAnswer: (r - 159)**3*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-24)\/(-5))*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 2*t + 3. Let r be 0\/(-2) - (-1)\/(-1). Let v be (-24)\/(-13) + ((-2108)\/442)\/(-31). Let y(o) = 1. Give r*z(s) + v*y(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 6}. What is prob of sequence yeey?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307120251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1 + sqrt(200) + 0 + 1)**2 + -1)*2*-6.\nAnswer: -2441 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g + 2*p = -45, 4*g - 36 = -3*p. Suppose 1 = d - y - 2, -y = -5*d + 11. Which is the nearest to g? (a) -0.4 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14551031 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 40*j - 436*j - 1226*j + 5*j**3.\nAnswer: 2*j**3 - 1622*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x + 2 = -3*l, 0 = -5*x - 20. Let m be 1006\/l - (-8)\/24. List the prime factors of m\/6 - 2\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/13 - 4403\/(-481) and 47?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3801, -3803, -3805, -3807, -3809, -3811?\nAnswer: -3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*h - 45 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 337851 and 1297181?\nAnswer: 4171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 3*i - 2*i)*(-8*i - 2 + 2) to the form w*i + r + q*i**2 and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:21 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12120 (base 5) to base 13.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Calculate the remainder when 391 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-1\/2)*r*r)))**(-38)\/((r*r**(5\/3))\/r*r**2*r))\/(((r*r*r**(-6)*r*r)\/(r\/r**(-1\/3)*r))\/(r\/r**(-1))**(2\/69)) assuming r is positive.\nAnswer: r**(-9196\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, 104, 217, 296, 329, 304, 209, 32?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 7*a + 8. Let k be q(-6). Suppose b + 2*n + 2 = 0, -3*b - 9 + 4 = 5*n. Suppose -k = -i - b*i. Solve i = -y + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 40*v**2 - 8053*v + 2618. What is n(201)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13205 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 9*b**2 + 9*b + 14. Let d be c(-10). Let m be d\/(-11) - 6\/(-33). Let z be (5\/(-30))\/(m\/3). What is the nearest to z in 1, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - j)*(8*j + 14*j - j**2 - 7*j).\nAnswer: j**3 - 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -4*t - a + 8, 3*a + 23 = t. Suppose 2*d - 6 = h + t, 2*d + h = 13. Let s(q) = q**3 - q**2 - 5*q. What is the remainder when s(6) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-223 + 207 - (-7 - 1)) + 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/(((-11310)\/232)\/65)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(405)*1*5 - (-2*(sqrt(280)\/sqrt(7) - sqrt(40))\/sqrt(8)*-5)**2.\nAnswer: 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -850, 2, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 93753 = 303. List the prime factors of l.\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f**2 - 8*f + 10. Let w(x) = -37*x**2 - 4*x + 18. Let p(c) = -20*c**2 - c + 9. Let i(u) = -5*p(u) + 3*w(u). Determine -7*i(y) + 6*n(y).\nAnswer: 5*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/7 (b) -666\/55 (c) 5 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*y + 543*y + 250*y + 813*y)*(-y**4 + 3*y**2 - 3*y**2).\nAnswer: -1433*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -589397289 to the nearest 10000.\nAnswer: -589400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54062, 95288, 136514, 177740, 218966?\n\"Answer: 41226*h + 12836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 - 183*p + 2478.\nAnswer: 3*(p - 413)*(p - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31506 or 31500?\nAnswer: 31500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r - 2. Let i be d(2). Suppose i = -0*u - 2*u + 10. Let a be 18*((-30)\/(-9))\/u. Solve a = 2*p + 4*f, 3*p - 3 = 4*f + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 19*q**4\/4 - 29*q**3\/3 + 3447*q**2 + 3936. Find the second derivative of c(m) wrt m.\nAnswer: 114*m - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-312) - (-10)\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.158927 millimeters in centimeters?\nAnswer: 0.1158927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024326 rounded to six decimal places?\nAnswer: -0.002433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7497980 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -154, -3, -45, 5, 4 in ascending order.\nAnswer: -154, -45, -3, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + w + 13. Let u be n(13). What are the prime factors of u + -2 - 12\/(-16)*4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = -36. Let d be (-21)\/(j\/8 - -3). Solve -4 + d = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 + -7795?\nAnswer: -775a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -1\/168*s**8 - 4\/3*s**3 + 0*s - 1\/12*s**4 + 4\/15*s**5 + 1\/30*s**6 + 0 + 118*s**2 - 4\/105*s**7. Suppose m(x) = 0. Calculate x.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18239746, 18239748, 18239750, 18239752?\nAnswer: 18239754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 15*y + 3. Let g be w(-15). Put -4, g, -5, 5 in ascending order.\nAnswer: -5, -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.2 + -1.2. Let f = g - 4. Let m = 18682 + -18685. What is the second biggest value in f, m, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15470, 30931, 46392?\n\"Answer: 15461*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(1980) - ((sqrt(1980) + (sqrt(1980)*-1 - sqrt(1980)) - sqrt(1980)) + sqrt(1980))*1)\/((sqrt(540)*1)\/(2*sqrt(432))).\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-85)\/(-3) - 6\/(-9). Suppose 3*i - 60 = j, -2*i + j + 11 + u = 0. Let d be (4\/8)\/(2\/i). Solve -5*g - d*a = -25, 3*a - 12 = -4*g + a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-15\/4))**(3\/7) assuming b is positive.\nAnswer: b**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0*d + 0 - 13\/24*d**4 + 1\/6*d**3 + 5*d**2. Let m(q) = q + 5. Let x be m(-6). Give l(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hkqphhphhhkkhhk.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 452500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 376, -2, 2, -24 in decreasing order.\nAnswer: 376, 2, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 20 + 1 + 88 + -103\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l - l. Solve -w - 4 = -l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/44469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76898 - 76882. Suppose 5*j = -4*q + 325, j - 4*q - 49 + 8 = 0. Calculate the remainder when j is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10683 divided by -119\nAnswer: 10683\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 4 - w**5 - 4 + (w + 5*w - 3*w)*(-2*w**4 - w**2 + w**2).\nAnswer: -7*w**5 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -6. Let h = -0.1 + -0.3. What is the smallest value in -0.3, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2499, -9985, -22459, -39921, -62371, -89809?\n\"Answer: -2494*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/((-3)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/154, -3, 2\/5, 0.1.\nAnswer: -4, -3, 3\/154, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -120 + 23*j**2 - 43*j**2 + 21*j**2 + 2*j + 2*j**3 - j**3 in the form t*j**3 + w + l*j + g*j**2 and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.252 - -1.152. Let t = -759 + 85765\/113. Do m and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 20, -63 = 5*a + 4*g - 68 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1611154 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 2:59 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1509, -3020, -4531, -6042, -7553, -9064?\n\"Answer: -1511*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -13*k + 9*k + 6, c + 5*k = 12. Which is greater: c or -183?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -11*i**6\/6 - 3*i**5\/20 - i**4\/12 + 785*i**3\/3 - 2*i + 2392. What is the third derivative of b(q) wrt q?\nAnswer: -1320*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002715 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z - 68. Suppose -33 = -d - 5*n, -d - 4*n + 47 - 19 = 0. Calculate m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 715636465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 328 in 5, -2, -15\/11, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 1206, 2564, 4434, 6798?\nAnswer: 9638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93215.\nAnswer: 5, 103, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 555840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = -5*g, 7 + 0 = g + d. Suppose -3*a = g*w - 37, 5*w = 4*a - 0*w - 8. What is the smallest common multiple of a and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, t: 5, g: 2}. What is prob of picking 1 z, 1 t, and 1 g?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/60)\/(9\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 7*i + i**2 - 2*i**2 + i**3)*(-6*i**2 + 2*i**2 + 2*i**2).\nAnswer: -2*i**5 + 2*i**4 + 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - k**4 + 3*k**4 + (59*k + 10*k - 7*k)*(-k**3 - 3*k**3 + 2*k**3).\nAnswer: -122*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 83\/4 (b) 3\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**5\/i))**(-1\/58)\/((i*i**(4\/11)\/i)\/i**(2\/3)) assuming i is positive.\nAnswer: i**(323\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*s - 2547*s + 157148 = 11740 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 + 25076*y**4 + 5714349*y**3 - 5739426*y**2 = 0. Calculate y.\nAnswer: -24846, -231, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -e4787 (base 16) to base 15\nAnswer: -13742a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*g**3*h**3 - g**3*h**2 - 53082*g*h**2 + 46*g*h - 8338*h**4 wrt h?\nAnswer: -66*g**3 - 200112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24003 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(1110\/90 - 12)\/(2\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 20. Suppose i - 2*x = -0*i + 6, -4 = 2*i + 4*x. What is the least common multiple of i and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.1 - 10. Let z be (-4)\/18 + (-104)\/180. What is the nearest to j in z, 5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 0, 3.\nAnswer: -11, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w - 3*x - 20, 5*x + 140 = -5*w. Suppose m = 2*t - 9, -6 = 2*t - 4. Let h = m - w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q, c = -3*c + 2*q + 96. What is the highest common divisor of 120 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 10:47 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -23*o**2 - 68*o + 7. Let b be m(-3). Let n = 3 + -2. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.08 - 524860024.\nAnswer: -524860026.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91917 = -2*l + 3*z, -134071 = -5*l + 3*z + 95717. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3*j + 0*j**2 + 4*j - 5*j. Let r(k) = -10 - 3*k - 3*k + 10 - 3*k**2. What is -7*c(x) - 2*r(x)?\nAnswer: -x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95, 46, -21, -100, -185?\n\"Answer: a**3 - 15*a**2 - 11*a + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*m + 1 + 43*m**2 + 219*m + 1053*m**2 wrt m.\nAnswer: 2192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.03507044 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(396) + 3 + -3 + (sqrt(396) + -1 + sqrt(396) + sqrt(396))*-5)**2.\nAnswer: 168*sqrt(11) + 77617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114 + -115.94. Let c = g - 0.06. Let l be (-230)\/(-380) + 8\/(-76). What is the biggest value in c, -0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3678 or -3651?\nAnswer: -3678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6066 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1710.34 millilitres to litres.\nAnswer: 1.71034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11215 - 11213. Suppose 48 - 10 = 2*t. Suppose -5*n = 5*u - 85, -4*u + y*u = 5*n - t. Calculate the lowest common multiple of u and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2185 and -147 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 278. Let k(y) = -y + 200. Let w(q) = 3*c(q) + 4*k(q). Let z(i) = i - 11. Give -4*w(h) + 11*z(h).\nAnswer: 3*h + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2537316 divided by -211443\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 46 = 29. Suppose -3*b = -2*b. Sort l, b, 1\/2.\nAnswer: b, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 27. Let i be c(13). Sort -1, 4, i.\nAnswer: -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 116 = -4*f, 58*q - 3*f + 87 = 54*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.21 - -2.61. Which is the second biggest value? (a) -0.3 (b) 2\/3 (c) 0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -2\/7 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -57*f**2 + 0*f**5 + 4\/3*f**3 + 0*f**4 + 1\/30*f**6 + 0 + 75*f. Differentiate w(i) wrt i.\nAnswer: 4*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1029120)\/55)\/(-8) + (-3)\/(-33).\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**5\/20 - 7*z**4\/6 - z**3\/6 - 11*z**2\/2 + 13*z. Let p be l(-14). Solve u + p = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a**0))*a*a)**(-10\/3)*(a**0)**19 assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let f be (-4)\/7*(-84)\/24. Suppose 0 = -f*d + 21 - u. Calculate the remainder when d is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 18*q**2 - 921*q - 12. Let m(r) = 7*r**2 - 460*r - 4. What is 2*j(f) - 5*m(f)?\nAnswer: f**2 + 458*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/492 and (-4)\/(12\/(-159))*((-3872)\/(-432) - 9)?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 86, 112, 124, 122, 106?\n\"Answer: -7*y**2 + 61*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35945, 35953, 35973, 36011, 36073, 36165?\nAnswer: 36293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37019518.4 rounded to the nearest one hundred thousand?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -20. Suppose 1 + q = 5*y. Let s = -3 - -4. Put y, s, 3 in increasing order.\nAnswer: s, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1964, -8452, -19462, -35000, -55072, -79684?\n\"Answer: -j**3 - 2255*j**2 + 284*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeevveve. What is prob of picking 1 v and 1 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4599 and 837?\nAnswer: 427707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e8b - -131?\nAnswer: 20bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29975 or 30240?\nAnswer: 30240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599, -602, -605, -608, -611?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81.2 from 0.5.\nAnswer: -80.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3852*d + 7571*d - 3796*d - 10780 = 0 for d.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11318 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: Does 14 divide 13318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 + -23.6. Let g = y - -24. Let l be 6 + -78*8\/102. What is the smallest value in -1, 0, g, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1.036042\nAnswer: 5.18021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 5*d - 15. Suppose -43 = -4*p + 49. Suppose -5*m = -12 - p. Let x be f(m). Let o(k) = 5*k - 1. What is o(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449781 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2152813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3996 + -4237. Is z equal to -242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c4323 (base 13) in base 11?\nAnswer: 454510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13*(0 + -2))\/(-1). Let y = 56 + a. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*z + 5, -z - 2*z = 3. Suppose -2*v + 4 + 0 = 0. Suppose -v*a = -3 - 1. Calculate the lowest common multiple of a and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221010 - -131111?\nAnswer: -23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -1*((-15 - 0) + 5). Sort p, 4, -2\/13 in decreasing order.\nAnswer: p, 4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 3925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 12*a - 11, 25*m + 7*m - 55 + 21 = 9*a - 7*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose 4*f = 2*g - 20, -25 = 4*g - x*g + 5*f. Suppose 0 = -g*p + 4*p + 3*t - 1, 0 = 5*p - 2*t - 30. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18054724*y**3 - 6184750*y**2 - y?\nAnswer: -108328344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1067 (base 9) to base 4\nAnswer: -30112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 7. Let y(b) = 9*b - 15. Suppose 132 = -5*l + 67. Give l*x(i) - 6*y(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -830, -2, -5, 5, 2 in decreasing order.\nAnswer: 5, 2, 0, -2, -5, -830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 592687 + -79419325\/134. Let i = y + -11\/2. Let m = 59\/268 - i. Is -0.1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.56 + 2\nAnswer: -22.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 1 - 2*j**2 - 4\/3*j**3 + 0*j - 1\/4*j**4. Solve l(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w + 2*x - 16, 0 = w - 2*x + 6. Let c be 3\/(6\/w)*6. Let s be 4 + c - 3 - -4. Solve -9 = 5*k + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.75. Let l = -0.05 + m. What is the nearest to 1 in 2\/11, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 13*h + 2. Let j(s) = -5068*s. Calculate j(y(u)).\nAnswer: -65884*u - 10136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1338 and 36325808?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + 5*i**2 + 2*i**2)*(-1 - 2*i + 1 + (-i + 3*i - 5*i)*(1 + 2 + 0)) to t*i**3 + s*i**2 + z + a*i and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0*n**4 + 0*n - 2*n**2 - 2\/3*n**3 - 1\/120*n**6 + 0 + 0*n**5. What is the derivative of i(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*z = -z - 8, 5*d - 2*z = -29. Let i(t) be the third derivative of -t**6\/60 - 7*t**5\/60 - t**4\/8 - 7*t**3\/6 + 29*t**2. Is i(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*d + 657*d - 210*d + 10*d**3 - 225*d.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 36, -0.05, 1, 1\/2, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89.5 + 89. Let u = 0.2 - 0. What is the nearest to u in -5, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216160479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h - 222. Is r(31) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 584960 and 2490880.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Let h be (4 - 7) + (1 - -2). What is the second derivative of -6 - q*m**4 - m + h*m**4 + 6 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(98\/(-4))*(2772\/54)\/(-22). Let n(f) be the second derivative of 1\/2*f**2 + 0 - i*f**4 + 37*f + 0*f**3. Determine n(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/52, 0.64, 5, -1\/2, 2, 2\/11 in decreasing order.\nAnswer: 5, 2, 0.64, 2\/11, -5\/52, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3003 and 1621620.\nAnswer: 1621620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -292991\/24 - -12213. What is the common denominator of i and (-37)\/(-18) + 2\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 = o, -5*o - 4*y = -0*y + 23. Let n(v) = 21*v**2 + 5*v - 17. What is the hundreds digit of n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -225, -736, -1593, -2802, -4369, -6300, -8601?\n\"Answer: -t**3 - 167*t**2 - 3*t - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*c + 45 = c - 65 + 96, 29 = 6*s - 5*c for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 19*m**3\/3 - m**2\/2 - 5161. Let i(a) = 2*a**2. What is h(i(n))?\nAnswer: 76*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + u + 21 + 30, 0 = 3*u + 9. What is the greatest common divisor of 108 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsyfffffffffsfsff. What is prob of picking 1 y and 2 f?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1223*m - 240. Is u(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81997.5 and 0.2.\nAnswer: -81997.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = 24*j + 9 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 1018 = 998. What is the smallest common multiple of g and 14?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, o: 2, a: 2, e: 5}. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 + 38 + 2*u**2 + 134*u + 24 in the form y + g*u + q*u**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceufzueezeceee. Give prob of picking 1 c, 2 z, and 1 u.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose -2*v + g + 27 = 0. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*r + 477 = 79*r + 55*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -19*k**2 + 2. Let p(z) = -4*z**2. Give r(p(x)).\nAnswer: -304*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -946*a + 4. Let j(q) = -2*q - 1. Calculate -4*j(c) - k(c).\nAnswer: 954*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -38 - -43 - (0 + 19)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:09 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6438*z - 7355*z + 13215*z.\nAnswer: -578*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 708048 divided by -4023\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.3 - 10. Which is greater: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330 + 204?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 30 + 16 - 1861*w.\nAnswer: -1861*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -64, 1 in descending order.\nAnswer: 5, 1, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1786*d + 1669. Is b(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -204, -294, -416, -570, -756, -974?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 80, 192, 350?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*t + 2*k - 214 - 418 = -1063 - 1459, 3*t + 2*k = -18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = n + 5*t, 0 = 5*n - 498*t + 497*t - 144 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015471 to the power of 1\/2, to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 24*h + 2. Let n be b(6). Suppose -19064 = -2*u + 3*i + n*i, 0 = -5*u - 2*i + 47631. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/(-3) + (-9)\/(-27). Let s be ((-2)\/m)\/((-23)\/(-207)). What is the first derivative of -5*q**3 + 6*q**s + 3 - 7*q**3 + 8 wrt q?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396780738?\nAnswer: 2, 3, 6569, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -46*v + 61. Let i(u) = 2*u - 2. Determine 2*i(m) + n(m).\nAnswer: -42*m + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*(-1)\/(-2))\/(21\/6). Let l = -0.036 - 3.964. Which is the closest to p? (a) 2 (b) 4 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(70) - ((sqrt(70)*1 - sqrt(70)) + sqrt(70))) + sqrt(70))*-2)\/(sqrt(70)\/(3*sqrt(7))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**5 + 6*r**4 - 6*r**3. Let o(n) = -2*n**4 + 0*n**5 + 5*n**3 + n**2 - 2*n**4 + 7*n**5 - n**4. Let f(v) = -3*o(v) - 4*z(v). Solve f(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 4 - -53) + (2 - 5) + 33 + -36?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44015 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 2. Suppose -s*p + 4*g - 2*g + 6 = 0, -5 = -3*p + 5*g. Find v, given that -v + v + 2*v - v**p - v**5 + 4*v**4 - 4*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k = 39*k - 200. Let t = -28 + k. Suppose 5*i - 25 = 2*w, w = -2*i + 6 + 4. Solve y = -4*a + 6, -i*a + t - 1 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 59 = 56 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 25632.\nAnswer: 179424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*5\/(-1) - (-2868)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = 0. Suppose -5*z - 3*l + 129 = t, 5*z - z - l - 110 = 0. What is the remainder when 107 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.928 - -3.072. Let q = -0.24 - 2.76. What is the third biggest value in v, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 170 = -6*m. Suppose -33*r + 9 = -m*r. Let t(a) = a**2 + 7*a + 4. Let g be t(-4). Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-2))\/(98\/12152*-62).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-9 + 7 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148633 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: Simplify (1 + sqrt(252) + -2 + sqrt(7))*-3.\nAnswer: -21*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/20*543\/905.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 15*v**3 + 6*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210558 and 429?\nAnswer: 30109794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -254306, -508612, -762920, -1017230, -1271542?\n\"Answer: -k**2 - 254303*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 751 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71730 is divided by 1793.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 75592, 147002, 218414, 289828, 361244, 432662?\n\"Answer: r**2 + 71407*r + 4184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(12))**2 - sqrt(48)*1) + 5 + (sqrt(108))**2 + (sqrt(6)*2)\/sqrt(2).\nAnswer: -2*sqrt(3) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8424 + 8374 = 50*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 4*i**2 + 4*i**2 + 2.\nAnswer: 12*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 - (8 + -116 - (8 + 0)). What is the greatest common factor of c and 2773?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -33 (b) -1\/18 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(360) + sqrt(360)*1))\/(sqrt(9) + 6*sqrt(81)))\/(sqrt(72)*-1 + sqrt(72) + sqrt(24)\/(sqrt(9)\/sqrt(3))).\nAnswer: -8*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**3 - 9*d**2 + 29*d - 934. Let c(n) = -2*n**3 + 2*n**2 - 7*n + 233. Let k(i) = 9*c(i) + 2*w(i). Differentiate k(v) with respect to v.\nAnswer: -12*v**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3291034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.308 and 32.\nAnswer: 9.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -13. Let k(o) be the first derivative of -5*o**2 + 1. Is 5 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 13*t**2 - 10*t + 2. What are the prime factors of b(12)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a. Let f be (-2 + (-5)\/(-2))*-4. Calculate the least common multiple of -54 + 0 - 271168\/(-4237) and q(f).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18331079 and -10.\nAnswer: -18331089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -368759.\nAnswer: 2\/368759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2\/3 - 178664*r\/3 + 357344\/3 = 0.\nAnswer: -44668, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18509839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-4 - -3) - (-1 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 6. Let b be 2\/(-7) + (-2430)\/70. Let z be 7\/b - 114\/30. Determine a(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 - 13*t - 47. Let r be v(-4). What is the smallest value in -2\/19, -3.09, r?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 - 13) + 2 + -23. Let f be (-13)\/w*2\/(-4)*0. Suppose 0*j**4 + 1\/8*j**5 + 2*j + f*j**2 - j**3 + 0 = 0. Calculate j.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 221. Let l(b) be the second derivative of b**4\/6 - 657*b. What is q(l(y))?\nAnswer: 4*y**2 + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24097 = -2731*v + 693*v - 24815 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3612 and 37023.\nAnswer: 148092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrt. What is prob of sequence tr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -169\/5*r + 7\/10*r**2 + 48\/5 = 0?\nAnswer: 2\/7, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35348 - 35304. Let p(b) be the first derivative of -49 - 484*b - 4\/3*b**3 - m*b**2. Factor p(l).\nAnswer: -4*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 7*b - 16. Let d(g) = g**2 + 8*g - 15. Let h(q) = -6*d(q) + 5*r(q). Calculate the remainder when h(-9) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 140?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszzzsmzzzmm. What is prob of sequence ssm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 862 and -0.09.\nAnswer: 861.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 8. Let i be m(-10). Suppose 0 = u - 4*n, i*u + 6 = -0*n + 2*n. Is (-13 + 1)*79\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = -3*z. Let g be ((-1)\/z*0)\/3. Factor 0 + g*r + 2*r - 2*r**2 + 4.\nAnswer: -2*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k - 12*k + 22*k.\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4) - 0)*2\/(-12). Sort -1\/2, -2\/7, -3, s.\nAnswer: -3, -1\/2, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143767 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0281296 + 4149.7518704. Let u = 4082 - l. Round u to 0 dps.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 - 1102 = -3*z. Let b = -773 + z. Let c = b + 889\/2. What is the common denominator of -51\/10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(80)\/sqrt(10) + sqrt(2) - (sqrt(2) + 6*sqrt(32))) - ((sqrt(6)\/sqrt(3) + sqrt(2) + -5)*4 + 5)**2).\nAnswer: -696 + 436*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 121299 = -4*z - 20298, 5*z = p - 20206. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0545 - 0.03071. Let t = -0.024 + l. What is t rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457117722.\nAnswer: 2, 137, 16266853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 13*b**2. Suppose 14 = -49*m + 42*m. Let z(x) = x - 1. Let t(i) = 7*i - 9. Let h(u) = m*t(u) + 18*z(u). Calculate h(w(q)).\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.861933l in millilitres?\nAnswer: 861.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1407\/2? (a) -14 (b) 1 (c) -0.2 (d) 2\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40155 is divided by 1484?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Suppose u - 5*y - 17 = 0, 2*u - 10 = -4*y + 6*y. Let c(n) = -4*n**2 - n**2 - u*n**2 + n**2. Calculate q(c(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75464357 or 75464352?\nAnswer: 75464352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11*c = -203. Suppose 0 = 4*v + d - 14176, 32*d = 4*v + c*d - 14192. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 9 = -14*q. Let t(b) = 5*b**3 - q - 2 + 7*b**3 - 13*b**3 + 6*b**2 - 3*b. Let y be t(5). Solve 2*r - 2*a = 3 - 5, -3*a = -5*r - y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*((sqrt(35) + sqrt(35)*-2)\/sqrt(5) + sqrt(7)) + -1)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**3 - 21*v**2 - 31*v + 64. Determine c(5).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35428 is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*l**2 - 33*l**2 - 13*l**3)*(l - l + 5*l**2 + (4 + 2*l**2 - 4)*(0 + 11 + 24)).\nAnswer: -975*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 + (-12)\/(-16). Suppose 0 = 3*y + 5*o + 10, 0*o + o + 2 = k. Suppose 4*b + 0 - 4 = y. Solve -b = -3*r + 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2772228 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 19360*y**2 - 19283*y**2 + 38536*y**2.\nAnswer: -107*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5028, 10072, 15114, 20154, 25192?\n\"Answer: -t**2 + 5047*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/46418988 and -83\/109608.\nAnswer: 92837976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 828086 and 3164?\nAnswer: 187147436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**3 + w**3 - 8*w**3 + (2*w - 3*w - w)*(0*w**2 + 0*w**2 - 2*w**2) - w**3 + 2*w - 2*w.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*j + 6152 = 0, 6*j = -b + 8*j + 1532. Suppose -7*k + 3696 = -b. List the prime factors of k.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.331990872 - 0.332. Round d to seven decimal places.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1221*t + 3. Let y be b(1). Let c be (-2)\/(-6) - (-19607)\/y. Let l = 810\/29 + c. Calculate the common denominator of 57\/28 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.940738 micrometers in kilometers?\nAnswer: 0.000000005940738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9850080 divided by -2.\nAnswer: 4925040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.57, -2, -22, 4, 1?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514098990?\nAnswer: 2, 5, 29, 79, 66089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((0 - 6) + 64 + -48)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**8\/56 + i**5\/20 - 4*i**2 + i. Let p(f) be the first derivative of o(f). Find the third derivative of p(n) wrt n.\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -7. Suppose j = -2*j + 3*o + 12, 2*j = o + 9. Which is bigger: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 4*u + 45, 0*u + 15 = -2*a - 5*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 34\/(-1)*(-8)\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78903 is divided by 218?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**6\/40 - g**5\/10 - g**4\/6 - 4*g**3 + 20. Let t(i) be the third derivative of s(i). Determine u, given that t(u) = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:11 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 6. Let p be f(-6). Suppose 2*j - 5*j - p = 0. What is the remainder when ((-28)\/j - -1) + -2 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -0.4 in increasing order.\nAnswer: -5, -4, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 - ((0 - -4) + -3). Let m(v) be the first derivative of 0*v**2 - 4 + 6*v + c*v**3 - 1\/2*v**4. What is the derivative of m(d) wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/7 - 9503*r**2\/7 - 123722*r\/7 + 19032.\nAnswer: (r - 9516)*(r - 1)*(r + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*x = -3910, d + 9*x - 978 = 10*x. List the prime factors of d.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(192) + sqrt(192) + -1)*5 + sqrt(192) + (sqrt(48) + sqrt(2352))**2 + -5).\nAnswer: -12264 - 352*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 17*y + 1. Let g be q(-19). Let s = g + -22. Calculate the remainder when s is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - o + 250 - 25, -2*o + 135 = 3*q. Suppose 0*u - q = -9*u. Suppose 24 + 231 = u*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 129150?\nAnswer: 1420650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l - 11. Suppose -223*z - 674 = 616 - 398. Suppose 10*y + 44 = 6*y. Let m(o) = -3*o + 4. Determine y*m(b) + z*q(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, -191, -883, -1859, -3119, -4663, -6491?\nAnswer: -8603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.61 + 79. Let t = 2.022285 + -1.6323. Let l = f - t. What is l rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*3 + sqrt(72) + 4 + (-3*sqrt(324) + sqrt(324))\/(4*sqrt(8)).\nAnswer: 4 + 135*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 + 6*g**4 - 10*g**3 - 60*g**2 + 9*g + 54 = 0. What is g?\nAnswer: -6, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -240 + 365. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 11, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0))**(9\/10)*c**(-1\/2)*(c*c*c\/(c\/c**6))\/c assuming c is positive.\nAnswer: c**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 285\/798*4\/10\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 - 8*o + 13. Give r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from uur.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 less than -7?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41639760143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 + 1328*s - 542720.\nAnswer: 2*(s - 384)*(s + 6360)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307393312 to the power of 1\/2, to the nearest integer?\nAnswer: 36158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/6 - 188*l**3\/3 + 25435*l**2\/6 + 32802*l = 0.\nAnswer: -7, 0, 99, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 28587?\nAnswer: -28595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39379.6+-6.9381\nAnswer: -39386.5381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 10*w**2 - 11*w + 2. Let a be g(11). Let i(d) be the first derivative of 3*d**3 + d - 2. List the prime factors of i(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 131327273.7 milliseconds?\nAnswer: 0.21714165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = 4*j - n, 14 = 2*j - 3*n. Suppose j*t + 4 = -0*t. What is the lowest common multiple of 9 and t\/2*-14 + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/5725845?\nAnswer: 1\/5725845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*q**3 + i**2*q + i**2 - 9*i - 355*q**4 - 91 wrt q?\nAnswer: 3*i**2*q**2 + i**2 - 1420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 11960*z + 83524.\nAnswer: 4*(z - 2983)*(z - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 11 - 2. Let r be (17 - 36)*(2 - 3). Suppose -5*q = -w*p + r, 3*p - 2*q = 2*q + 17. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.57 + 0.67. Let s = v - -4.9. Which is the closest to -2? (a) 4\/7 (b) 1\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -t + o - 43, 0 = 4*o + 12. What is the remainder when t is divided by 2\/(-3) + (-62)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 69*s + 2*s + 15*s.\nAnswer: 92*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r**2 - 7*r**2 - r**3 - 2 + 2*r**2. Suppose -30 = -2*f + 8*f. Calculate y(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 4*q - 4*b, -233 = 4*q - 9*q - 2*b. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/5, 1.358, -0.3, 1, 5, -2\/3?\nAnswer: 1.358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5831a7 (base 12) to base 15\nAnswer: 1ce61d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-8))\/(9\/6). Suppose 2*y = -0*y + a + 16, -2*y + 28 = -4*a. Let h = -3 + y. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 433*x**2 + 44841*x - 44840. Give r(1).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7986, -7933, -7852, -7743, -7606?\nAnswer: -7441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 651 - 649.7466. What is b rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m - 50. What is j(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + 14 - 3 + 58*s**3 - 11.\nAnswer: 63*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 32 = 10*h + 112 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m + 3*m - 4*m)*(2*m - 4*m + 3*m + (-4 + 0 + 2)*(-4*m + 4*m - m) + (19*m - 20*m + 10*m)*(-1 + 18 + 16)) to g*m + r + l*m**2 and give l.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 810376 and -10.7.\nAnswer: 810365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = 3*v, -5*v - 2*h + 7 = -1. Let m(w) = -2*w**2 - 5*w**2 + 6*w**2 - w**3 - v*w. Let i(y) = -y**3 - y**2 - 2*y. Determine -3*i(d) + 2*m(d).\nAnswer: d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1587*b**3 + 63204*b**2 - 11028*b + 480 = 0.\nAnswer: -40, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x**4 - x**3 + 50*x**4 - 39*x - 27*x**4 + 16*x - 35 in the form c*x + w*x**4 + t*x**2 + y*x**3 + q and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 143811644 from 0.05450397.\nAnswer: -143811643.94549603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/4386 and 46\/22575.\nAnswer: 767550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23782980 is divided by 1618.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9047 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8))\/g*g**(-3)*(g\/(g**(-1)*g)*g*g)**13 assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -44, -2.\nAnswer: -44, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3945\/8 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*l - 16 + 10, 0 = -3*l - 2*m - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6 + 3*j + 10 - 6 + 5. Let z be a(-10). Let g = z - 0. Which is smaller: g or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {h: 1, r: 7, j: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from tkkktykkytkkyty?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(2299) + -1)*5*5*-3)**2 + -5)*4.\nAnswer: -1980000*sqrt(19) + 52087480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5248\/3 - -20995\/12. Sort 9, 28, o, -2\/3 in descending order.\nAnswer: 28, 9, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3188 divide 767536894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1. Let s(b) be the second derivative of -b**3\/6 + 7*b**2\/2 + 3*b. Let g(c) = s(c) - 3*u(c). Suppose 2*r - 2 - 4 = 0. Give g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 21 - 19 = 0. Calculate the remainder when 55 is divided by 3\/(3\/o) - 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25617 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(176)\/(sqrt(8)\/sqrt(2)) + (sqrt(1584) - (1*sqrt(1584) - sqrt(1584))))\/(sqrt(28)\/(sqrt(14)\/sqrt(2))*-4))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 3, z: 3}. Give prob of sequence aaav.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -1, -3 in ascending order.\nAnswer: -3, -1, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + v + 14 = -2*r, -3*v - 26 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*u = 2*u + 5, 34 = 5*d + u. Let h be 43 + -4 + (5 - 3). Let n = h + -28. What is the remainder when n is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -16*j**2. Let i(x) be the second derivative of -5*x**3\/6 - 2*x + 12. Determine u(i(b)).\nAnswer: -400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-9)*(-45)\/75\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 10. Let w be x(-7). Let n(f) = -f**3 + 25*f**2 + 196*f - 4387. Let p be n(26). What is the highest common divisor of w and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*l - 4 + 4*l + 7.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 19.5, 11, -34?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 660 - 17a?\nAnswer: 4d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -219, -1, 3 in descending order.\nAnswer: 3, -1, -3, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqcqqbqcbq. What is prob of sequence bqbc?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = 14*w - 40 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 13. List the prime factors of i(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4879 - -0.35\nAnswer: -4878.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -618.49 + 618.29. Let m = -4.9 - 19.1. Let d = 4.92 - -0.08. Sort b, d, m in ascending order.\nAnswer: m, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 6, o: 3, b: 1}. Give prob of picking 1 b and 1 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/9 + 952*i**3\/3 + 2*i**2\/3 - 8572*i\/9 + 1904\/3 = 0.\nAnswer: -2, 1, 1428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 + 5*l - 4. Let n be s(-7). Suppose 0 = 2*i + 3*c + n, -5*i - 3 + 12 = -c. What is the greatest common factor of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1163610 and 232722?\nAnswer: 1163610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 (base 6) in base 2?\nAnswer: 11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n + 28 = -4*w, 0 = 3*w + 9. Let q be -11 - 2\/(-4)*-2. Let p = q - n. Solve p*a + 19 + 1 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240312923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 126 = -108. Suppose -3452 = -4*w + 2*t, -y*w + 4*w + 4*t - 1736 = 0. What is the greatest common factor of w and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 16*n**2 - 40*n - 6. What is b(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350697441 to the nearest integer?\nAnswer: 18727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -375276 - -45408138\/121. Let l = 16801\/1694 + g. Calculate the common denominator of l and -107\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 254 = -7*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/(-33) - 5\/5 and 4 + (-75)\/20 - 143\/(-24).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 730635.3 decades?\nAnswer: 7306353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3550 + -2625. Calculate the greatest common factor of 2035 and f.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280\/3*o - 96 - 64\/3*o**2 + 2\/3*o**3.\nAnswer: 2*(o - 36)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 9) to base 3\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 3*b + 2. Let y be g(-2). Let s = 91 - 65. Suppose 2*m + y = s. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-264)\/16)\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*n = 6*n + 26, 4 = -2*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 3554*q - 2405800.\nAnswer: 2*(q - 523)*(q + 2300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 0, -0.3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/120 + z**5\/60 - 5*z**4\/24 - z**3\/2 - 33*z**2. Give t(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9892 - 42304. Let z = j + 27473. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2441 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 6*r. What is the common denominator of -19\/4 and 1*136\/(-6)*r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*j - 11 = 0, -5*z - 20 = -6*z - 5*j. Suppose 0 = -4*l - n + 552 + 459, z*n - 754 = -3*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*1*2.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15778036.\nAnswer: 2, 3944509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321550 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let l(q) = q + 11. Let z be l(-9). Let h be j(z). Let n = 5 + h. Solve c = -n*c + 5*k + 36, -c = -k - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(833) + -2 + sqrt(833) + -1 + sqrt(833) + -2 + 4)*-2)**2.\nAnswer: -9072*sqrt(17) + 271188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 2*t**6\/5 - 2*t**5\/5 - 7*t**4\/3 - 4*t**3\/3 - 1571*t. Suppose n(l) = 0. Calculate l.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -19*f**3 + f**2 - 2. Calculate k(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, l: 1}. Give prob of sequence slq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2\/9)))\/q*q*q**(-38) assuming q is positive.\nAnswer: q**(-344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/50)\/((-59730)\/495 + 122)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-791824)\/(-531520) - (-3)\/(-2) and 29\/90?\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 - 80\/(-44). Let j = -107\/95 + 10\/19. Let d = -1309.5 + 1311.5. What is the third biggest value in j, 1\/3, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 2*u + 3. Let c be m(-2). Let t = c + 10. What is the highest common divisor of t and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by -5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 4*a. Let i be -1*8\/(-6)*a. Let d(m) = m**3 + m - 1. Let r = 268 - 267. Let y(b) = -4*b**3 - 8*b + 8. What is i*d(t) + r*y(t)?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4244311 - -2?\nAnswer: -424430d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 0. Let x = -4 + 9. Let i = x - -2. Solve o*p + i + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9900317 to the power of 1\/2, to the nearest integer?\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4033 and 370.\nAnswer: 40330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 8. Let b = 55 - 44. Let m be a(b). Let d(t) = t**2 + t - 1. Let s be d(m). Solve 2*p = 5*i + 5, 0*p + 5 = p - s*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*k**2 + 126*k**2 + 151*k**2 + 148*k**2 + 156*k**2 + 148*k**2 - 873*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(24) + (sqrt(48)\/sqrt(2) - sqrt(24)) + sqrt(24)))\/(-1*(sqrt(8) - sqrt(392)) + sqrt(8)).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100 - 97. Suppose 6 = -2*c, -y*c - 26 + 1 = -4*q. Solve 5*a - a + q = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2037*q**2 - 34*q**3 - 1076*q**2 - 961*q**2.\nAnswer: -34*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 0. Let w be y\/(-25) - 48\/(-10). Solve 0 = -m - 2, w*a - 3 = m + 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -79. Suppose 0 = -4*m + h*m - 832. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:33 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 677 + -641. Suppose -48809 = -k*c - 2009. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 679 + 5?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4 - -3)\/(-70))\/(61\/(-6)). Let r = w - -25907\/1830. What is the common denominator of -17\/46 and r?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3954\/25 - 15841\/100. Let r = -1 - 1. Let y = r - -1. What is the closest to y in -0.01, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19721 - 11442. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 8*i**2 + 23*i + 89. Give n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -44, -62, -80, -98, -116?\n\"Answer: -18*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.64 * 0.059.\nAnswer: -0.45076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5795, 11587, 17379, 23171, 28963, 34755?\nAnswer: 40547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9200882*b*y + 158263688*b + 2*y wrt y.\nAnswer: 9200882*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 5:57 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1291 - -300. Does 56 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + 32 + -7 - (4 + 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 0.5485\nAnswer: -0.49365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 0*v = 18. Let g(d) = d**2 + 8*d + 8. Let f be g(-6). Let r be ((-4)\/6)\/(f\/30). Solve 0 = -r*o - v*u - 27, 0*u = -5*o + 3*u - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*q**4 - 27*q**2 + 3112 with respect to q.\nAnswer: 128*q**3 - 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 598279 by -8.\nAnswer: -598279\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2601 (base 9) to base 4.\nAnswer: -132121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(1\/2)\/k)**(6\/11))**(14\/9))**(-2\/121))**(-2\/17) assuming k is positive.\nAnswer: k**(-56\/67881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**5 - 5*c**4\/2 + 35*c**3\/3 - 10*c**2 + 21. Factor j(o).\nAnswer: -5*o*(o - 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, 2, -85.9?\nAnswer: -85.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71\/33 + 20\/11. Put -0.3, 0.4, v in descending order.\nAnswer: 0.4, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*r**4 + 14*h*r**3 - 2*h + 2*r**4 + 14*r**2 wrt r?\nAnswer: -48*h*r + 84*h + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -d85?\nAnswer: d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, n: 1, o: 1, l: 1}. Give prob of sequence zo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b - 3*b**2 - 1\/12*b**5 + 0 + 0*b**3 + 0*b**4. Let u(l) = -l. Give t(u(s)).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293037 - 293417 = -95*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 128*v - 123*v + 4*t, 0 = 2*v - 3*t - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1\/2*t**2 + 4 + 0*t + 0*t**3 + 1\/540*t**6 + 0*t**4 + 0*t**5. Let x(m) be the second derivative of s(m). Factor x(o).\nAnswer: 2*o**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomo. What is prob of sequence omo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e6 (base 15) to base 9.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 4*j - 3*j)*(2 - 5 - 1 + (-3 + 2 + 3)*(0 + 0 + 4)) to w + f*j and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 7*k - 8. Calculate z(-16).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -5\/6, 1174003?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*x - 3*x + 73, -2*x - 392 = -5*d. Let m = 86 - d. Suppose 2*c - m = -4. Solve c*f = -3*l - 8, -3 + 6 = -4*l + 5*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 5*f**2 - 8*f - 3. Suppose 12 = 2*w - 4*w. What is y(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67583663 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223264677?\nAnswer: 3, 74421559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + 2*c**2 - 4*c**2 + (0*c + 4*c - 5*c)*(-c + c + 3*c)*(4 + 1 - 2).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*j - 2 = 364*j. Is (-40)\/(-10) + ((-932)\/j - -3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2289743 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9.9. Let k be 14*(2 + 6\/(-4)). Suppose -2*s = -k*s - 20. Which is the second smallest value? (a) -3\/4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10131 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*c = 7, -1 = 3*c - 2*c. Suppose 27*z - 104 - 490 = 0. What is the least common multiple of z and (-8)\/16 - (-13)\/v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 481716 = -5*o. Let t(m) = -26762 + 2*m + o. Let a(g) = -3*g + 5. Let v(x) = -2*x + 3. Let h(u) = 3*a(u) - 5*v(u). Calculate h(t(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121543 + 189714. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 16*z**2 - 26*z + 587. Determine n(-19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.113 and -0.1?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 91.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*z - 68082537 + 68082537.\nAnswer: 461*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*25850.94\nAnswer: 51701.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/9 + 437*d**2\/9 - 2164*d\/9 + 192 = 0. What is d?\nAnswer: 1, 4, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -343114978 rounded to the nearest 10000?\nAnswer: -343110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80, 163, 246, 329, 412, 495?\n\"Answer: 83*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118 or 0?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 y when four letters picked without replacement from {n: 6, y: 3, r: 3, x: 1, h: 1, o: 5}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**2 + 6*w**2 - 5*w**2 + 3 - 3 + w**2 - 3*w**2 - 3*w**2 + 3*w**2 + (-2*w - w + 4*w)*(5*w + 3*w - 3*w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3474\/125 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9968, 9994, 10058, 10178, 10372, 10658, 11054, 11578?\nAnswer: 12248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a49b6a (base 16) to base 7.\nAnswer: 160456664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let o be 20 + (-3)\/6*g. Let h = o + -11. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {a: 4, y: 5, t: 2, b: 7}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -965141?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 1, u: 1, w: 1, s: 2, t: 2}. What is prob of sequence cu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 20*k + 45. What are the prime factors of v(-14)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/84 and -57\/8372?\nAnswer: 25116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81941536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2657 - -2656.9. Which is the closest to z? (a) 0.3 (b) 2.9 (c) -2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/216 and 50\/243?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 = -5*v, 2*m + 4 = -5*v + 2. Suppose 5*k = -m*i - 4, 4*k + i - 2*i = -20. Is 214 + 6\/k*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257\/1924 - 3\/148. Which is the biggest value? (a) f (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lele when four letters picked without replacement from {l: 4, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 26*y + 77. Determine h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 2*z = -192. Let a = z + 215\/12. Calculate the common denominator of 81\/4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -71.96. Let i = -0.04 - g. Which is the third smallest value? (a) 3 (b) i (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -22. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*m**3 - 10\/3*m - 10\/3*m**4 - 20\/3*m**2 - 2\/3*m**5 - 2\/3.\nAnswer: -2*(m + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10448, -5741, 7174, 32401, 74044, 136207?\nAnswer: 222994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-142)\/(40 - 48 - (-191)\/24). Which is greater: c or 3409?\nAnswer: 3409","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 445 + -442. Suppose 5*y + 1 = 5*p + 6, -5 = -v*y + 5*p. Solve y = -16*o + 13*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**3 - 2*k**2 + k. Suppose -5*r - b - 94 = -10*r, 4*b = 4. Let y = r - 18. Let l be o(y). Solve 2*g - l = -0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3937 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 3*o**2 + (3*o + 2*o - 2*o)*(-3*o + 2*o + 3*o) + (0*o - o + 0*o)*(3*o - o - 5*o))*(0*o**2 + 3*o**2 + o**2).\nAnswer: 44*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 11893 (b) -20 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**5 + w - 1. Let j(y) = 3. Let l(u) = -3*b(u) - j(u). Find the second derivative of l(i) wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.02, 11, 3.\nAnswer: 0.02, 0.2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 521*m**3 - 6*m + 44*m**3 - 230*m**3 + 1 as p + n*m**3 + g*m**2 + x*m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 656688577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20548, -20552, -20558, -20566?\nAnswer: -20576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = 9. Let y = 1 + s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-20) - (-7)\/(-2))*-50. Solve 2*w - 4*n + 4 = 6, 5*w + x = -5*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 - 5*q**3\/3 - 11*q**2\/2 + 7*q. What is the remainder when 63 is divided by y(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 + -139. Let a be 3\/u*(-4 + 25\/7). Find b, given that 0 + 9\/7*b**2 - a*b**5 + 6\/7*b - 9\/7*b**4 - 3\/7*b**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - (-25)\/(-15). Which is the second smallest value? (a) t (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -220*f**7\/21 - 131*f**4\/6 + 89*f. Find the third derivative of l(h) wrt h.\nAnswer: -26400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.01 + -6. Let y = 0.51 - a. Let i = y - -4.5. Sort i, -5, 0.2 in decreasing order.\nAnswer: i, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19939076*w**2 + 17463383*w wrt w?\nAnswer: 39878152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**2\/2 + r + 3. Let y be s(3). Differentiate -3 + y*i**2 - 4*i**2 + i**4 - 3*i**4 with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*n**6 + 188*n**3 - 23*n**2 - 157.\nAnswer: 4680*n**3 + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114084 is divided by 549?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.53?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*a**6 + 4*a**3 - 4*a**3 + 2392*a**2 - 138108*a**5 + 220*a**6 + 138107*a**5 wrt a.\nAnswer: 28440*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10333*t**2 + 2467*t**2 - 6602*t**2 to the form j*t + d + s*t**2 and give s.\nAnswer: -14468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 c, and 1 y when three letters picked without replacement from {p: 1, y: 2, o: 2, b: 1, c: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21672859?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*l - 5206 = -166 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 6*x**2 + 5*x + 6. Suppose 0*b + 4*b + 4 = 0, 0 = -5*u - b - 26. Determine k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17db + 72?\nAnswer: -1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let x = -43 - -70. Let g(i) = x*i - 35*i + 31*i. Determine g(f(o)).\nAnswer: -69*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*u - 66 = 0, -5*u = -4*m - 106 - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6179216 to 2 decimal places.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 + 16 + 25872\/(-220).\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*l**4 + 23*l**2*p**2 - 17*l*p - 4*p**2 wrt l.\nAnswer: 120*l**2 + 46*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -103, 2\/9, 1 in increasing order.\nAnswer: -103, 2\/9, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:59 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122209.\nAnswer: 122209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 3, -1\/6, -10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 40*b**2 + 7*b + 8. Is 2 a factor of y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52837 - j**3 + 52847 + 52842 - 158526.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 0.69834. What is q rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**2 + 52*f**2 - 146*f - 35*f**2 to the form l*f + h*f**2 + q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Suppose -262*y - 14 = -263*y. Suppose -4*j + y = 6. What is the highest common factor of c and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10262100 + -18926931. Let u = f + 12864831. Suppose -11*z - u = -14*z. What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61\/5 + -12. Let a = 2 - 2. What is the closest to a in -5, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b + 5*b - 8*b**5 - 2*b**5 wrt b.\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 6*h. Suppose h*f = w - 2*f - 21, -3*f + 161 = 5*w. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6157950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1.2\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101010110?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 23*d**2 + 25*d + 15. Let a be v(24). Suppose -a*c - 6 = -42*c. Let g = 77 - c. Is g a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 2, 4, 0, 12, 55 in descending order.\nAnswer: 55, 12, 9, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 7*i + 2 = 0. Let h be 8 + -2 + (-2 - i). Solve -h*c + 3 = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 46*l + 19. Let y be n(-8). Let c = y - -510. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + 1 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526382 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(18\/5)\/a)\/(a\/a**(11\/6))*(a*a*a**7*a)\/(a\/a**2) assuming a is positive.\nAnswer: a**(433\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 - 4. Let m = 409 + -99. Let u = -309 + m. Let y(p) = p**2 - 1. Calculate u*v(f) - 4*y(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1012 - -1012. Suppose b = -17*o - 10 + 146. Let v(x) = x**3 + 6*x**2 + 6*x + 7. Let g be v(-5). Solve 5*k + 3*q = -4 + o, -4*k + 12 = -g*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**3\/6 + 94*x - 3. Let n(d) = 46*d**2 + 4*d. Determine n(w(c)).\nAnswer: 46*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 2\/21, 1, 0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -111201101?\nAnswer: 111201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**2 - 780\/11*c**3 + 0 + 0*c - 378\/11*c**4 + 6\/11*c**5.\nAnswer: 6*c**3*(c - 65)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*x - 3*x = 0, 4*h + 2*x - 29 = -3*x + 32 - 1 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from rrhcrcmhmhh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2772071.020097 and 0.1.\nAnswer: -2772070.920097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*b + 7033 = 20205, 8*o + 3*b - 52631 = 0. Calculate the least common multiple of o and 63.\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.002 - 0.002. What is the fourth biggest value in -2, g, -6\/5, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 4*r - 1. Let u be k(3). Suppose t - 12 = u*t. Is ((-29)\/3)\/1*t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130*f**3 + 144*f**3 - 255*f**3)*(f - 2 + 8*f + 2) to the form b*f + k*f**2 + q + t*f**4 + l*f**3 and give t.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three sixths of a week in hours?\nAnswer: 1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3061 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 10:21 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 119140.959 hours?\nAnswer: 709.172375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2 + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68)*-1 - sqrt(68))*2)\/(sqrt(48)\/(sqrt(120)\/(3*sqrt(10) + sqrt(10)))) + -5.\nAnswer: -2*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/((-2)\/((-24)\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 178*u - 1. Let p(t) = 2*t. What is i(p(m))?\nAnswer: -8*m**2 - 356*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 15326 = -15331 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-24)*32\/(-20). Suppose 0 = -5*n - 16 - 24. Let u = n + 5. Which is the smallest value? (a) u (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/12)\/(-3)*1*(-5 - -17). Let u(p) = -25*p**2 - 6*p + 6. Let w(v) = 100*v**2 + 25*v - 25. Determine z*w(n) - 25*u(n).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and -4.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(1728)*-4)\/sqrt(6)*-3.\nAnswer: -147*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 110001?\nAnswer: -100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60220722 + -2?\nAnswer: 60220720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.069 - 6.531. Let w = -5.8 + -1.2. Let n = o - w. What is the fourth biggest value in 7, -3, 4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 0*d**2 - 28 - 24 + 49 - 4*d**2 to the form b + n*d**2 + f*d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 76 = -i, 2*n + 137 = -3*i + 304. Calculate the remainder when 315 is divided by n.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199437451 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010 + -100000000?\nAnswer: -10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = -6. Let x(t) = 9*t - 6. Let b(v) = -5*v + 3. Let i(l) = -7*b(l) - 4*x(l). Let h be i(z). Solve 0 = g - 3*k + 4 - 3, h*k = g - 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4139.93696 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -69201.62 * -0.09\nAnswer: 6228.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 - 2. Let h(n) be the second derivative of -n**3 + 46*n**2 + 46*n. Let k be h(15). Let c(a) = 16*a**3 + 11. Calculate k*c(g) + 11*d(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -4764189655.\nAnswer: 4764189654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(15\/2))\/((-2)\/(-10)). What are the prime factors of (3 + b)\/(4\/400)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 2*j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -13 + -23 - (0 - 9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaassaaa. What is prob of sequence as?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.62 + 0.6. Is d bigger than -2\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3559, -3, 5, 7 in ascending order.\nAnswer: -3559, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -14*k. Let j = 1 - 3. Let m = 3 + j. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -2 + 1 + 19 + (8 - 21)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 2*x - 12. What is n(5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -30 (c) -19 (d) -0.25 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2317 - 2425 = -9*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:14 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 1)*(-1 + 1 - 17*x)*(-141*x**2 + 10*x**2 + 9*x**2) in the form j*x + w + a*x**3 + z*x**2 and give a.\nAnswer: -8296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701737.\nAnswer: 59, 28843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*a**3 - 17 - 6 + 3*a + (-2*a + 2*a - 2*a)*(4*a**2 + a**2 - 6*a**2) to w*a**2 + t*a + n*a**3 + x and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 - -143. Let d = x + 99. What is the highest common divisor of d and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881621887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 466, 699?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-2 + 1))*100. Suppose 3*p = 2*p + t. Round p to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc25 (base 14) to base 4.\nAnswer: 21102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = -54. What is the second derivative of -d*z - 27*z + 3 - 76*z + 0*z - 5 - 3*z**4 - 14*z**3 wrt z?\nAnswer: -36*z**2 - 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 - (9 + -5 + -9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + -5 + (218 - 198 - (4 + 5 + 2)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 9.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 8. Suppose 55 = 4*n - 2*c - 45, -15 = -n - 2*c. Suppose -4 - 21 = 5*f, 0 = -v + f + n. What is the smallest common multiple of t(0) and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -196 and -121.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 5. Let u be c(-5). Let w = 3 + u. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*k**2 - 2287*k**2 + 1214*k**2.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912 + 10*d**2 - 964 - 18*d**2.\nAnswer: -8*d**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put together -53 and -0.1944.\nAnswer: -53.1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001787657581 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 3?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3582 divided by 18.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 622915\/42 - 14830. Let n = 1\/7 - o. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/30401 and -79\/39087?\nAnswer: 273609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 + (5 + -3)\/(-1)) + 36. Solve -p*k + 282 = 11*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:18 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6\/287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163900 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:09 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39500505.1 rounded to the nearest ten thousand?\nAnswer: 39500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 14*b**2 + 24*b + 9. Is y(12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 13034?\nAnswer: 13034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 29. What is the least common multiple of 10 and (-2)\/((-15)\/z - -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:27 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -180? (a) -2 (b) -2\/7 (c) -1\/2 (d) 3\/8 (e) -673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-20 + (-21 - -124) + -25).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/86879 and 71\/53464?\nAnswer: 695032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6024, 11564, 17104, 22644, 28184?\nAnswer: 33724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:57 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 50 = -2*l. Calculate the least common multiple of l and (-10 - -2)*(1 - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 7*y. Suppose -14 = 4*c - 2*c. Let s be m(c). Suppose -5*a = -s*a + 15, -39 = -3*f + 3*a. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:15 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/(5\/(-150)*9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 5 (c) -877 (d) -3\/5 (e) 6\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2596263379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z\/z**(5\/6))\/(z**(-2\/15)\/z))\/(z\/((z\/(z\/(z*z\/z**(2\/5)*z)))\/z))**(1\/13))**(40\/7) assuming z is positive.\nAnswer: z**(1740\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -155 or -156?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 15237.\nAnswer: 15250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45214 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = -10. Suppose a*k - 27 = -7*k. Solve -k = 2*x + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.66 + -55.66. Let b = k - -88. Let p = 32.9997 - b. Round p to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/11 (b) -1\/5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 - 97. Let y be 2\/(2\/g) + -2. Suppose -5*n = -0*n - y. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*q + 3603 = 0, 2878 = 2*n - 6*n + q. Let v = n + 4354. Is 12 a factor of 8\/12 - v\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**5\/10 - 25*l**4\/12 - 7*l**3\/3 + 4*l**2 + 168*l. What is a(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1134 and -86\/220815?\nAnswer: 3974670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 7625?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 4*f**2 + f + 1. Let d be b(3). Suppose -3*n = 1 - d. Differentiate 3*g**3 + n*g**3 - 1 - 3*g**3 wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4 - 1. Suppose 2*s + 4*v + 0*v = 0, 0 = -3*s + x*v + 45. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145656033 (base 7) to base 8.\nAnswer: -45172543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -597.6? (a) -7 (b) -11 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1120431 + 505?\nAnswer: -1115522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 41.28. Let y = 7.02 + t. Which is the smallest value? (a) 0.4 (b) -0.2 (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326260 (base 7) to base 8.\nAnswer: 160115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5443956 and 1064.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 9*j**2 + 3*j**2 + 45*j**3.\nAnswer: 45*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 7, 23, 57, 115, 203, 327?\n\"Answer: v**3 - 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3*v - 40554 = -12*m, 4*m + 2*v = 81140. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {y: 1, o: 9, k: 8, t: 2}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 2, d: 2, e: 3, g: 4}. Give prob of sequence ggdy.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14162398 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45812 + 381?\nAnswer: -45421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 2, 93?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41271 = 5*u - 2*g - 41285, 3*u - 35 = 5*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (-2 - 5 + 5)*(-2 - 3 + 3) - 1 + 3 - 3)*(-1 + 0 + 3)*(-m + 0*m - m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/(-42) + (-37)\/20. Let n(k) be the second derivative of -3\/4*k**4 + k + 0 + 0*k**3 + t*k**5 + 0*k**2. Factor n(z).\nAnswer: 3*z**2*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -119, -113, -105, -95, -83?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*p**2)*((-p**2 + 2*p**3 + p**2)*(-1 + 2 + 0) - p**3 + 3*p**3 + 0*p**3 + 3*p**3 - 2*p**3 - 3*p**3 - 4*p**3 + 0*p**3 - 6*p**3).\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -46*c + 22. Let i be j(-6). Suppose 5*x - 4*w - 608 - 104 = 0, -2*x = 5*w - i. Let q be ((-14)\/(-10))\/(5 + x\/(-30)). Solve 2 = -3*s - q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 - 2704\/11. Let m = g + 5\/33. Suppose 0 = -k + 2*z - 3, 3*k - k + 4*z = 10. Is m < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:40 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 24*d + 29*d = 4, -75*n + 678 = -3*d for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 11. Let x be 5 + -7 + 5 + 7 - 5. Let j be s(x). Solve 0*w = -j*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - b - 3. Let u(q) = -4*q**2 + 4*q + 13. Suppose 0 = -8*x + 3*x + 30. What is x*u(f) + 26*g(f)?\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g - 1 - 1 - 2*g)*(3*g**3 + 0*g**3 + 3*g**3)*(1 - 3 + 0)*(-1 + 0 + 3) to the form f + r*g**2 + c*g**4 + t*g**3 + v*g and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c**2 - c + 6. Let x(y) = y**2 - 1. Let o(s) = 2*n(s) + 14*x(s). Let r(f) = -10*f. Let b be r(-1). Suppose k = 6*k - b. Calculate o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -5. Let c be (-2 + 11)*(-8)\/(-6). Suppose -z*w + w = -c. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/84)\/(2\/9)*(-20)\/75?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose -5*u - 14 = -o*t - u, 3*u = 3*t - 12. Suppose 22 = t*h - 8. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13108 and 4.\nAnswer: 13108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**3 + 33*t**2 + 27*t - 8. Let j(q) = 5*q**3 + 16*q**2 + 13*q - 4. Let n(c) = 5*j(c) - 3*o(c). What is the tens digit of n(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7694 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 23, -2, -0.4 in decreasing order.\nAnswer: 23, 1, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m**4\/4 - 1629*m**3\/4 - 473*m**2\/4 + 1629*m\/4 + 233\/2 = 0.\nAnswer: -1, -2\/7, 1, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18508 and 3598?\nAnswer: 4756556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -3. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*n + 119*n - 236*n - 9 + 76*n as k*n + w and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386058446.\nAnswer: 2, 227, 850349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1346 + -5?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 232.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21265 and 28.83.\nAnswer: 21293.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 196344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/((w*w**1)\/w)))*w*w)\/w)**(-1\/13)\/((w**(1\/4)\/w)\/w)**(4\/13)*w**(6\/11)\/(w**(2\/5)\/w)*(w**(1\/2)*w*w*w*w*w)**(-14) assuming w is positive.\nAnswer: w**(-53906\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.076442096 to 4 decimal places.\nAnswer: -0.0764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1553 - -1569. Let n be (2 + (-4)\/3)*6. Suppose -s - 5*g - n = 0, -3*s = -0*s + g - o. What is the lowest common multiple of s and 170?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 37, -41, -145, -275?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(847) + (sqrt(847) - (-1 + sqrt(847))))**2 + sqrt(63)*-2)*6.\nAnswer: 96*sqrt(7) + 5058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 343*m**2 - 701*m - 6499. Calculate t(-341).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 462*h*v**3 + h*v**2 + 1829*h wrt v?\nAnswer: 2772*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22856058 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dad when three letters picked without replacement from aaladaddda?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 743950 rounded to the nearest 1000?\nAnswer: 744000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 5*c**2 + 2*c + 7. Let x(a) = 2*a. Let t be x(0). Suppose t = 2*s, 3*v = 2*s - 10 - 5. Let h be z(v). Sort -1, h, -2.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -4, 9, 38, 89, 168, 281, 434?\n\"Answer: d**3 - d**2 - d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 8:50 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*l**2 + 120138*l.\nAnswer: -3*l*(19*l - 40046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*o + 17, -3437*o - 5*h = -3432*o - 20. Suppose 33 = -3*x + 30. What is the third smallest value in -40, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 7:35 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 29.6.\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2371*w + 2630*w + 3626 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1375339.5 months to centuries.\nAnswer: 1146.11625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71708 + 3134.8.\nAnswer: -68573.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 10:54 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -467, -136, 0.2, 23\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4561 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14490 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -1. Let x = 7 - 6. Let h be x + -1 + (-6)\/(-2). What is the third biggest value in -0.2, y, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15651520 divided by 59.\nAnswer: -265280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 180 = -3*w. Suppose 64 = 48*x - w*x. What is the remainder when x is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 4 - (-47 + 60)) + -13 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20356 + -2160. Suppose -4*a + l = -0*a. Let f = 8249 - a. What is f rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((((l**(3\/5)\/l)\/l)\/l)\/l))**22 assuming l is positive.\nAnswer: l**(484\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -8*u. Suppose -3*p - 42 = -4*r + 3, -u*p + 51 = 4*r. Solve 3*a + 2*i + 9 = -11, i = -2*a - r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30941, -123780, -278515, -495146?\n\"Answer: -30948*i**2 + 5*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 + 968\/7. Let m = 7332.367 - 7336. Let r = -0.633 - m. Which is the nearest to -0.4? (a) r (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11244*k - 562208. Give m(50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 11. Let f = a - -15. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 1, 8, -3995?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxcjjjxx. What is prob of sequence jcxx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 5. Suppose -36 = -j - o*j. Suppose -29 = -3*q + 5*w, 4*w + j = -4. Calculate the least common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a8 + b3c?\nAnswer: a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.1 + -16.9. Let h = w - -7.3. Which is the third biggest value? (a) 0 (b) h (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -328\/195 - -50\/39. What is the closest to y in 2, 3\/112, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z + 2. Let u be t(-2). Let d be ((-4 - (-9 + -2)) + -4)*-1. Sort u, -4, d.\nAnswer: -4, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218 (base 15) in base 4?\nAnswer: 1300313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2. Let b(t) be the first derivative of t**2\/2 + 6. Determine a(b(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 10.6.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -141.2.\nAnswer: -70.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -56*o + 157\/2*o**2 - 122. What is the derivative of m(c) wrt c?\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 4*a - 5*a + 3*a.\nAnswer: 2*a + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 442 + 1940 = 0. List the prime factors of q.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 16*j - 18. Let i(b) = 5*b**2 - 17*b - 21. Let m(s) = -4*i(s) + 6*y(s). What is t in m(t) = 0?\nAnswer: -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 14*s - 2*s**3 + 15*s + 2 + 5*s**4 + 19*s - 48*s in the form d + t*s + b*s**2 + m*s**3 + w*s**4 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (3 + -9 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -62 + 16 - (1 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.376 rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 5. Let q = 20 + a. Let x(p) = 5*p + 12. Is 9 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -121680499, -243361000, -365041501, -486722002, -608402503, -730083004?\n\"Answer: -121680501*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-128)*10)\/(3\/(-36)*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 16*n**2 + 44*n - 24.\nAnswer: -4*(n - 1)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 16. Suppose 0 = 5*h - 3*h - q. Find the second derivative of 4*g**h - 6*g**5 - g + 3*g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 14*c = 40. Suppose -6*v = -2*l - 7*v + 1271, -c*v - 1301 = -2*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1. Let y(f) = 2*f - 2. Suppose -3 = -3*w + 9. Let v = 0 + w. Let t(i) = i**3 + 3*i**2 - i - 2. Let l be t(-3). What is l*y(g) + v*p(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -50, -99, -190, -335, -546?\n\"Answer: -2*l**3 - 9*l**2 - 8*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*-2 - (-1 + (sqrt(117))**2).\nAnswer: -116 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 - k. Let j(a) = -14*a**2 - 29*a + 18. Let l(u) = -j(u) + 5*o(u). Let s be l(-12). Let m = s - 121. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 6. Let a = -16 + 11. Calculate the remainder when w(a) is divided by 4\/(-6)*(-9)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 5*p)*(-1 + 2 + 3)*(3 + 6 + 6 + (2 - 3 + 2)*(-3 - 2 + 3) - 1 - 1 + 0).\nAnswer: -88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023100 - -3?\nAnswer: -1023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184145, 368398, 552651, 736904, 921157, 1105410?\nAnswer: 1289663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -1744*a**2. Let b(z) = 201*z. Give b(g(s)).\nAnswer: -350544*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -680*d**3*y**3 + d**3*y**2 - d**2*y**2 - 4*d*y**2 wrt y.\nAnswer: -4080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 12:16 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 9*k + 12. Let p be x(8). Suppose o + p*q = 2*q + 8, 4*q = 20. Let m = o + 10. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18047460 is divided by 12656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cc0 - 76c7?\nAnswer: -86b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/471667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 664363*g + g**2 + 4*g**3 - 664350*g - g**3 to the form y*g**2 + k*g + x + v*g**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 + 142. What is the nearest to 1 in 4\/5, y, -1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5*x + 0*x)*(28*x**3 - 3*x - 8*x**3 - 2*x) + (-5*x + 2*x + x)*(x**3 + 3*x**3 - 5*x**3).\nAnswer: 62*x**4 - 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 2. Let t be p(-2). Solve -15 + 9 = -t*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((18\/4)\/3)\/((-1)\/(-40)). Suppose 4*t + 52 + h = 0. Which is bigger: t or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -3\/7 (b) 13599 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 137068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + 9. Suppose 3*z + s - 1 = 5*m, 4*z + 8 = 0. Let j be 4*3\/(-18)*-3. Solve -2*d + 13 - 3 = j*p, 0 = m*p - 2*d - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.6 - 0.4. Let b = 17879\/3 - 5960. What is the second smallest value in 0.5, i, -4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 1240096\nAnswer: 19\/1240096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = -m, -m - 4*o + 5 = -2*o. Suppose 4*h + 5 = m*h. Find the third derivative of -42*k**2 + 9*k**5 + 50*k**2 + k**h wrt k.\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -8896.\nAnswer: 41\/8896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211755*b + 33*b**3 - 105877*b - 105878*b.\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1543898892 + 1543898822.1000809. Let f = -69.9 - s. What is f rounded to 6 dps?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3 - (-84)\/(-27)). Suppose 3 - w = -3*x. Let a be (-1)\/x + 100\/8. Solve 2*s + a = -4*i - 4, -5*i = 3*s + 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3132 and -5.01?\nAnswer: 3126.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843279341?\nAnswer: 401, 2102941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 10:51 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5611200 by -224448.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531480.1 tonnes to kilograms.\nAnswer: 531480100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 + 91*u**3 + 10842*u**2 + 31680*u = 0 for u.\nAnswer: -66, -3, 0, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**3 + 3*f**2 + 305*f - 3232. What is the thousands digit of a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.094.\nAnswer: -0.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 - 5*z - 5. Let j(y) be the second derivative of -y**5\/20 + 2*y**4\/3 + 4*y**3\/3 + 4*y**2 - 2*y + 3. Determine -5*j(p) - 8*v(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38541600 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -5*p - 3*n, 1 = p + 2*n. Let h = -4 + p. Suppose -48 = -k - h*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 627544\nAnswer: 1\/627544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a factor of 23474182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*a**2 - 55*a**2 - 59*a**2)*(-3 - 2 + 2)*(2 + 3*a + 7 - 2*a) to t*a + m*a**2 + l + q*a**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 12. List the prime factors of 32 - ((0 - 0) + h).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4604 + 4604. Solve c = -169*k + 167*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 119. Suppose b = 2*m + 4*h, 0 = -4*m - 9*h + 7*h + 20. Suppose -m*n + 8*n = 84. Calculate the smallest common multiple of 4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 405.\nAnswer: -49\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6 = 5*j. Let m(y) = 2*y**3. Let z be m(1). Factor z*h**2 + h**4 + 0*h**2 - j*h**5 - 3*h**4 + 2*h**3.\nAnswer: -2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = p, 5*k - 1 = 4*p + 6*k. Let d be (-1)\/(-4)*p\/(-69). Solve d = -4*r + 4*b + b - 37, 3*r - 1 = -2*b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1410 + 2483. Does 37 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 86 - v + 27 + 28 + v**3 as i*v + u + t*v**3 + q*v**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 6398.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00171548 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 8*o - 6. What is h(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2469*o + 1095 with respect to o.\nAnswer: 2469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m - 72*m + 112*m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5503657, 5503661, 5503665, 5503669, 5503673, 5503677?\nAnswer: 5503681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4480747 and 10.\nAnswer: 44807470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695*f**3 + 1349*f**2 - 649*f**2 - 676*f**2.\nAnswer: -695*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -79*d. Let x(o) = -8*o**2. Give q(x(f)).\nAnswer: 632*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -60a2?\nAnswer: -609d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*t + 418*t = 1237*t - 407*t - 3*o + 8, -5*t - 4*o = -17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r = 2470*r - 85145 - 34105 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o - 5*k + 17 = -44*o - 3, 5*o + 25 = 3*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2. Let x(l) be the third derivative of -5*l**4\/24 - 4*l**2. Calculate c(x(p)).\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b - 19. Let m = 3.08 + -0.08. Let g = 4 - m. Is g equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433197.6 millilitres to litres.\nAnswer: 433.1976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 2, w: 1}. What is prob of picking 1 w and 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 27*w**2 + 26*w + 172. Give c(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -117, -170, -209, -228?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -67*y**2 + 6*y - 9. Let v(x) = 2212*x**2 - 196*x + 294. Let b(a) = 98*h(a) + 3*v(a). Let n(g) = 3*g. Give b(n(p)).\nAnswer: 630*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -260.8159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2573005.2199974 + -2573005. Let l = p + -0.22. Round l to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216977068?\nAnswer: 2, 7, 11, 659, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ertkxxetxqtk. What is prob of picking 1 e, 1 x, 1 k, and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6390)\/(-71)*((-74)\/(-259))\/(18\/14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85\/1169 + 44999\/201068. Let j = o - 2\/43. What is the nearest to 0 in 2\/9, -5, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -6*x - 12, 6*x + 12 = a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 718, 1436, 2154, 2872, 3590, 4308?\n\"Answer: 718*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -791, -1512, -2233?\n\"Answer: -721*o - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0777247933 rounded to 5 dps?\nAnswer: -0.07772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p - 5*t - 50, -5*p = t - 62. Suppose o - 40 = -p. Suppose -q = -5*q + o. Solve q*l + n = 2*l - 6, 3*l + 4*n = -7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -3\/7, -1\/93, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -715*d. Let j(n) = 4*n. Determine j(c(u)).\nAnswer: -2860*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303676520 to the power of 1\/2, to the nearest integer?\nAnswer: 47997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 7*w**2 - 54*w + 248. Calculate v(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -2*z. Let n(o) = 5*o - 4*o - o**2 + z*o**2. Let p be n(-1). Solve -2*h + 14 = 2*u - 4, p = -2*u + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 9*b - 2 + b + b + 5*b. Let z be d(2). Factor -10\/7*o**4 + 18\/7*o**3 + 0 - z*o**2 + 4\/7*o + 2\/7*o**5.\nAnswer: 2*o*(o - 2)*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -99 + 414. Let i be ((-36)\/l)\/((-4)\/(-70)). Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -2776, -9834, -23698, -46636, -80916, -128806, -192574?\nAnswer: -274488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/35)\/(-1*4\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 4304304?\nAnswer: -4304301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*w - 2*w - 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t - 4. Let f(h) = -32*h + 5. Let l(n) = 11*n - 2. Let u(k) = -4*f(k) - 11*l(k). Let v = -4 + 17. Determine v*u(i) + 6*y(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1341334 (base 5) to base 9\nAnswer: -42018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.13 (b) -0.2 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1505 - -16567\/11. What is c in -r*c**2 - 2\/11*c**4 - 2\/11 + 8\/11*c + 8\/11*c**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.030547853 to 4 decimal places.\nAnswer: 0.0305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 931728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.478 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 461880700 to the nearest one hundred thousand.\nAnswer: 461900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f + 9. Suppose -f*h + 8 = -2*o, -h - 4*o - 1 = 1. Solve -3*t = h*d - 0*d + 14, -3*t = 5*d + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597695334 to the nearest integer?\nAnswer: 24448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 39 = -20*d + 25*d - 6*n, 2*n + 27 = 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/370 or 1?\nAnswer: -13\/370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/6)\/(-7))\/((-26)\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/5)\/(69\/(-468395)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117830 (base 10) to base 9.\nAnswer: -188562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*n + 11*n + 11*n)*(-5110 + 193*n + 5110).\nAnswer: -2123*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukuh when four letters picked without replacement from {t: 5, h: 1, k: 1, u: 8, i: 5}.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1023921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-43)*o)*o)*o)\/o*o**(-1\/16)*o)\/(o**(-23))**15 assuming o is positive.\nAnswer: o**(4863\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Let l(q) = -q**2 + 1. Let n(t) = -6*t**2 + 4. Let j(h) = -4*l(h) + n(h). What is j(d(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173927865?\nAnswer: 3, 5, 11595191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194875606 minus 2?\nAnswer: 194875604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 1207 + 2297 = 840. Calculate the lowest common multiple of m and 24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6*f + 46*b**3*f**2 + 6*b**3*f + 2*b**2 - b + 626*f**2 wrt b.\nAnswer: 120*b**3*f + 276*f**2 + 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 9*f + 12. Let v be o(10). Suppose 3*s - v = 34. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11\/5)\/(k\/k**(2\/51))*((k**10\/k)\/k)**(-15) assuming k is positive.\nAnswer: k**(-31406\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 7, u: 5, s: 1, t: 1, z: 1}. Give prob of picking 1 q and 2 u.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -75 (b) 0.4 (c) 0.3 (d) -4 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-25))\/(22\/55).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:42 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16154 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -16*h**4 + 196*h**3 - 400*h**2 - 2700*h + 9000 = 0.\nAnswer: -15\/4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 10. Suppose s = 5*j - 41 - 20, -2*j + v*s + 18 = 0. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828008.\nAnswer: 2, 29, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let x = -1 + 3. Let k be 3\/x*(-3)\/27. Which is the closest to d? (a) k (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.161 in 4\/7, 67, 0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - 0.25. Let q = -0.1 - -9.1. Let f = q + -5. What is the nearest to -1\/2 in 0.5, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1828, -3617, -5372, -7099, -8804, -10493?\n\"Answer: -o**3 + 23*o**2 - 1851*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**(3\/8))**(-14\/3)*(r**(2\/5)\/r**1)\/(r**4\/(r*r\/(r*r*r*r**3*r))) assuming r is positive.\nAnswer: r**(-401\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*g = 1320 + 2685. Which is smaller: g or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*h*x**2 - 104*h*x + 22269*h - 24081*x**4 wrt x?\nAnswer: 72*h - 288972*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**4\/20 + 37*y**3\/5 - 759*y**2\/10 + 129*y - 1274. Factor o(z).\nAnswer: 3*(z - 5)*(z - 1)*(z + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(-1\/2)\/k*k*k**(-4)*k)\/(k**(-5)*(k*k\/((k**3*k*k*k)\/k))\/k))\/((k\/((k**7*k)\/k*k))\/k**(-9)*k**(2\/9)*k**9) assuming k is positive.\nAnswer: k**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.019, 2\/23, -1\/6, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 - 99. What is the remainder when s is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -13*t**7\/210 - t**4\/4 + 9*t**3\/2 - 32*t**2. Differentiate x(g) with respect to g.\nAnswer: -52*g**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 5*w**3 - w**3)*(3 + 38 - 17 - w).\nAnswer: -3*w**4 + 72*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15 - (-304)\/10. Suppose 0 = -5*d + 5*q - j, -q - 10 = 3*d - 2*q. What is the units digit of (-3)\/d - 441\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1570408 and 8532808.\nAnswer: 7736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9583406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1177)\/55)\/(1\/(10\/12)) and (-4)\/14 + 6\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 + -2 + 3 - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/10)\/(15\/50). Let a(l) = 249*l + 4. Let g be a(j). What is g rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-184)\/(-161))\/(4\/(-14)))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25966.1292 - 25974. Round c to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 72?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660 < 919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*w - 4*w. Let u be -1 - (6 + w - 1). What is the lowest common multiple of -1*(-18)\/(-15)*u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-102)\/4*8\/(-12). What is the second derivative of -d + l*d**2 - 2*d + 2*d - d**2 wrt d?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -394?\nAnswer: -1\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = -4*z. Suppose z*r = 5*c + 5, 0 = 3*r - 5*c - 4 - 11. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (73\/2190)\/((-2)\/5)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 + 0.16. Is r > -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29295300 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/3)\/(v\/(v**10*v)) assuming v is positive.\nAnswer: v**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 41 = -4*z. Suppose -5*b - 3613 = -4*j, -2*j = -z*b + 6*b - 1799. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-26)\/65 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9 - 6) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 + 131. Which is bigger: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 201 + 69 = -2*v, -v + 699 = -5*c. Let n = -130 - c. Let u(o) = -o + 18. Calculate u(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13674920827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51410 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 756*p*w - 2*p + 563 wrt w?\nAnswer: 756*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1 (c) -0.1 (d) 1\/14 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 596557840625491\/20330 + -29343720635. Let w = -6\/2033 + i. Calculate the common denominator of 61\/2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327148 divided by -34\nAnswer: 9622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let s be (1 + (-4 - -3))*k. Solve -y + s*y = 1, -4 = 2*m - 2*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3857695 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2723.7 - 2723.62. Let d(x) = -x**2 - 7*x - 5. Let o be d(-6). What is the nearest to o in -5, y, -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djj when three letters picked without replacement from dddjdddjdd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265\/3 - -89. Let r = -9 + 3. Is r bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -365, -1337, -2309, -3281?\n\"Answer: -972*m + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 - 92. What is the least common multiple of 7 and g?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 23. Which is the biggest value? (a) -4 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 - 97. Let u be j\/(-165) + (-2 - 1)\/(-9). Which is the closest to 1? (a) -1 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 37. Suppose 0 = -2*p - 0*p + g. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 + 12327456*p**3 - 384*p**2 + 125200?\nAnswer: 48*p + 73964736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14885 + 1?\nAnswer: 14886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38 + 4280?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y. Let w(g) = g - 2. Let q be w(7). Suppose -5*a - 4 = -3*j, q*a + 3*j + j - 17 = 0. What is i(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*h + 198*h + 132*h - 132*h + 8883 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 6, e: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6431326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/8 - (-1)\/2. Let t = 0.4 + -0.5. Which is the third smallest value? (a) t (b) -2\/19 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*q = -288*q - 20115 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iie when three letters picked without replacement from iie.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 4 = -71. Solve -2*h = v - q, v - 4*v + 11 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*s - 464. Suppose -u - 3*n = -2*u + s, 0 = u - 4*n - 119. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 0*l = -3*l + 20, l - 314 = -308 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)*-3 + 751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 14. Suppose 0 = b*q + 97 - 28. Let r = 27 + q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222655999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(-2 + 1 - 1) + 0 + 4 - 2 - 54 + 5 - 9)*(2*s + s - s).\nAnswer: -116*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525954.7 weeks to microseconds.\nAnswer: 318097402560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcckrrcrr. What is prob of picking 3 c?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14183*w**4 - 38923*w.\nAnswer: 170196*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 261, -187, -2, 2, 5 in increasing order.\nAnswer: -187, -5, -2, -1, 2, 5, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s + 112*s = 3*p - 85, -3*s - 120 = -3*p for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 14*o**2 - 48*o + 34. What is h(-17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 651, -6, 2, -1492.\nAnswer: -1492, -6, 2, 651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 62 = 4*b, -b + 77*r - 79*r - 23 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/700 and 91\/13800.\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 609472166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 0 - 0*4\/(-8). Solve -g - j + 0*j - b = 0, -10 = -2*g - 5*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-12)*(-48)\/(-9)*-1. Solve 0 = -w + d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 64 - 0. Let o = 58 + k. Suppose 0 = -3*m - 3*s + 4*s + 1, -3*m + o = 4*s. Solve -m*u + 6 = -2*l, 5*u - 1 = -2*l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1636425*s**3 - 562406?\nAnswer: 4909275*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*u = 8*z - 106, -z + u = -18. Let t = z - 16. Solve -n = -2*c - 8, n + 4*n = t*c + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 5*z - 66, 0 = 3144*k - 3146*k - 5*z + 69 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 259, 2\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23890 is divided by 895.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375 divided by -375.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1822483144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10424 (base 6) to base 8.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqii when four letters picked without replacement from {l: 1, y: 1, w: 3, i: 7, q: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((3 + (sqrt(432) - -1*sqrt(432)))*-3 + 2)**2 + 4)*-5.\nAnswer: -78029 - 5040*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 25667*z + 333728. Determine r(-13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20395633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 180510481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -357*k**3 - 7 + 40*k**2 - 41*k**2 + 8 + 12*k**4 - 10*k**4 to h + o*k**3 + d*k**2 + w*k**4 + g*k and give o.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(3)*-5*3*-5.\nAnswer: -600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 32. Let p = h + -4. What is the tens digit of (-2 - 44\/3)\/(3\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s + 3*m - 514, m = -s + 128. Suppose -l = -s - 1. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.0346 (b) 0.1 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v - 99*v - 53 = s, -208 = 5*s + v for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -2696?\nAnswer: 67400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7573 = -1787. Suppose b = 19*l - 15*l. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4668680?\nAnswer: 2, 5, 19, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 24, 42, 64, 90, 120?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 333*i**7\/70 + i**5\/30 - 13*i**4\/2 - 70*i**2 + 18. Find the third derivative of c(r) wrt r.\nAnswer: 23976*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*u = 225*u + 336*u - 190*u - 17034 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18772083873 to 3 dps.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 6*y**2 + 23*y + 210. Calculate g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.11 + -9.39. Let r = q - -100.4. Round r to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-16 - (6 - 20) - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1656 + -23181\/14. Let i = 10 - 6. Let q = i + -4. Do l and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2. Suppose a = 2*a - 16. Suppose -12 = -13*b + a*b. Let f(m) = 1. Let z(i) = 8*i**2 + 4. Let t(h) = b*f(h) + z(h). Determine t(l(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73422912 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -2399\/60*m**5 + 0*m + 3\/8*m**4 + 0 + m**2 - 5\/3*m**3. Let b be j(-10). Round b to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9767709 * -18.\nAnswer: 175818762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 - 6*i + 22. Let k(n) = n**2 + 5*n - 14. Let l be k(-6). Calculate the lowest common multiple of 5 and b(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -30872*p + 246925. Give b(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/20)*i**(-9))\/(i**(-25)*i**13*i) assuming i is positive.\nAnswer: i**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-315)\/27 + 12)\/((-14)\/(-4)). Let b(c) be the first derivative of -2 + 0*c - 1\/7*c**2 - w*c**3. Factor b(v).\nAnswer: -2*v*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 17*n + 12. Let p be h(-9). Let v(m) = 6*m + 3. Let s(d) = -10*d - 8. Let b be s(-1). Let w(r) = -6*r - 2. Give b*v(j) + p*w(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*s**3 - 35777*s**2 + 4*s + 3018107.\nAnswer: -288*s - 71554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7750?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11396 * 3236\nAnswer: 36877456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -6 (c) -4 (d) -13\/48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-84)\/8))\/(5\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.499, 2\/13, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = -x + 3566, 3*o = 3*x + 5340. Calculate the remainder when 45 is divided by 1*(-2)\/14 - o\/(-77).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 15. Suppose -4*p + 2*p = 308. Let d = -110 - p. What is the remainder when d is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22403458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2797*w = -2801*w - 12, -3*h - 2*w = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 907*o**4\/12 - 4679*o**3\/6 + 7*o**2 - 7*o + 1. What is the derivative of m(p) wrt p?\nAnswer: 1814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-594)\/12) + (-152)\/132\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -748, -1142, -1534, -1924, -2312, -2698?\nAnswer: -3082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*5*6 - ((sqrt(77) - (sqrt(77) + sqrt(77)*-2))*2 + sqrt(77)))\/(sqrt(35)\/(-3*sqrt(125))*4).\nAnswer: -375*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + a - 1. Let k(y) = y**3 - 31*y**2 + 6*y - 6. What is 6*h(i) - k(i)?\nAnswer: -i**3 + 25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + r**2 - 7*r**2 + (3*r + 2*r - 4*r)*(0*r + 2*r + r) + (5*r**2 - 13*r**2 - r**2)*(1 + 3 - 2).\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus 40.28?\nAnswer: 41.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*q = 1127 + 1661 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**4\/7 + 117*s**3\/7 + 150*s**2 + 936*s\/7 = 0?\nAnswer: -26, -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 988706.7ug in nanograms?\nAnswer: 988706700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929206089.\nAnswer: 3, 7, 263, 56081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341875 and 367037.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4468752*l**2 - 4*l - 16. Suppose -341*w + 333*w + 32 = 0. Let a be o(w). Round a to the nearest one million.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(((j*j*j*j**(-2\/17))\/j)\/j)*j\/j**3*(j**(1\/5))**(-45) assuming j is positive.\nAnswer: j**(-168\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3578 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48.767 - -0.767. What is the nearest to -1\/3 in 0.3, w, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/15 - 259*m**4\/3 + 3*m**2 - m - 369. Factor q(u).\nAnswer: -4*u*(u + 518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 1. Let w(c) = 13*c - 4*c**m + 3*c**2 - 8*c - 5. Suppose -3*q = 4*t - 7, t - 4*q - 4 = 12. Calculate w(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -977045*p**2 + 191027 wrt p.\nAnswer: -1954090*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48989, 48990, 48991, 48992?\n\"Answer: d + 48988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(77) + sqrt(77) - (sqrt(77) - -2*sqrt(77))*1)\/((sqrt(1225)*1)\/sqrt(7)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w + 4*h, 5*h - 3 = 2*w - w. Suppose -6*v - 3*l = -3*v - 6, 2*l = v - 11. What is the remainder when v is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -26.8. Which is the closest to -0.1? (a) 0.1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 44. Let p be i(-9). Suppose 70 = w + 4*w. Calculate the greatest common divisor of w and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 (base 8) in base 5?\nAnswer: 12304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 3. Let s(i) = -2*i - 3. Let c(p) = -3*d(p) - 4*s(p). Determine c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5060697?\nAnswer: 3, 269, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 42339?\nAnswer: -42340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5744 and 19\/718.\nAnswer: 5744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2*(-1 + sqrt(405)) + sqrt(405) - (sqrt(405) + -6*-2*sqrt(405) - sqrt(405))*4)*5 + 3)**2.\nAnswer: 8820*sqrt(5) + 24310129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -0.13, -5 in decreasing order.\nAnswer: 109, -0.13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 11*n**2 - 4*n + 27*n**2 + 2*n to l*n + o*n**2 + u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 26*m**2 - 32*m - 117. Let z be q(-29). Let g = z + 2682. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7301 is divided by 1042.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*w - 3. Suppose -3*i + 28 = -2*i - 5*u, 2*u + 10 = 0. Suppose 5*k = -3*f + i, -4*f - k - 31 = -6*k. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/16112 and -157\/4560?\nAnswer: 241680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w. Let v(y) = -8*y. Let t(s) = -39*s. Let c(d) = 19*d. Let k(j) = 7*c(j) + 4*t(j). Let l(p) = -4*k(p) + 11*v(p). Determine l(m(u)).\nAnswer: -56*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 5*r**2 + 11*r - 32. Let q be j(6). Let g be q\/(-12) + (-18143979)\/(-126). Round g to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7225*l = -22101 - 115515 + 14791 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 871 - 684. What is the lowest common multiple of 68 and c?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:04 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 3*o - 28, -3*h + 5*o - 1421 = -1475 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g - 122*g - 173*g - 32925 = 5451 for g.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68440, 83937, 109774, 145957, 192492, 249385, 316642, 394269?\nAnswer: 482272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01026753 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 143485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -26975619 to the nearest 10000.\nAnswer: -26980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/24)\/((-12)\/(1728\/(-132)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1205 and 23721871.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -2)*10\/5. What is the tens digit of ((-14)\/(-21))\/(f\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1891*z**2 + 234 wrt z.\nAnswer: -3782*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 6. Let i(x) = -x - 5. Suppose -8*r = -10*r - 10. Determine r*v(n) - 6*i(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = -16. Suppose -x = -3*l + 3*x + 2, -2*x = -q. Let w(h) = h**2 - 5*h + 1. What are the prime factors of w(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -984 > -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*h + 29 = 73, -r + 4*h - 1 = 0. Suppose 5*a = -0*a + r. Let s(t) = 43*t**2 + 0*t**3 - 2 - 46*t**2 - t**a + 5*t. What is s(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) 0 (c) 1.2 (d) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(1\/(-3)*2). Suppose -6 = a*p - 5*w, p + w + 2 = 3*w. Let y(r) = 5*r**2 - 6*r - 9. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**4\/12 - 4*a**3\/3 - 11*a**2\/2 - 2*a. Let k be f(10). Solve -3*n + 3 - k = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*v - 19 + 253. What is the closest to -1.1 in 0.3, 10, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (9 + -12 + 12 - 0) - 5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 4. Let j be w(3). Let d = 2 - j. Suppose -16 = -d*s + y - 3, 5*y - 11 = s. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 160*j**2 + 3 - 66*j**2 - 2*j + 0*j to the form h*j + u + z*j**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 22*i + 372. Suppose -53*d + 1593 = -2037 - 1299. Calculate the highest common factor of d and i.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 579 + -583. Let g = 2 - 2. Which is the third biggest value? (a) g (b) -2\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {p: 2, d: 3, r: 5, o: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9756.82719 and -34.\nAnswer: -9790.82719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210619 + 6.\nAnswer: -210613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t + 5. Let n be g(0). Let j be ((-60)\/(12 - 27))\/(1\/2*1). What is the third derivative of 19*f**5 - j*f**5 + f**n + 16*f**5 - 26*f**2 wrt f?\nAnswer: 1680*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:46 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 15 + 15)*(44*a - 3 - 23*a + 7*a).\nAnswer: 140*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -8)\/((-1)\/(-4)). Let x(h) = 2*h**3 - 2*h**2 - 9*h + 2. Let u be x(g). Suppose -p - 3*f + u = 0, p - 20 = -f + 48. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2\/7 + 27480*r\/7 + 47196900\/7 = 0.\nAnswer: -3435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1009701 > -1009692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 - 154. Let z(f) = f**2 + 7*f + 11. Let y be z(-5). Sort 0, y, w in descending order.\nAnswer: y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -322, -647, -972, -1297?\n\"Answer: -325*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*2*-2 + (-1*sqrt(72))\/sqrt(9))\/(-4*sqrt(432)\/sqrt(12))*2.\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.37762 times 304?\nAnswer: -3762.79648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 23 + -20 - (-11 + 30).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1965\nAnswer: -3930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349397\/82530 - -2\/8253. Find the common denominator of 113\/2910 and j.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-1)\/2). Let x(a) = -4*a**2 - 1 + q + 12*a**2 + 1 + a. Give x(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2 + 10586930*c - 105856012?\nAnswer: 6*c + 10586930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2872260*i**2 - 4190114*i.\nAnswer: 5744520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - 9\/(-2). Let m = -20772\/19 - -145423\/133. Put 1\/4, m, g, -5 in descending order.\nAnswer: g, 1\/4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - c**2 - 5*c - 19. Let l be o(-3). Suppose 64*k = l*k. Solve k*v - 27 = 9*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -27. Suppose -3*x - q = -5*x. Solve -x*i - 41 = -j - 16, -4*i = 2*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*n**2 - 6*n**3 + 22*n**2)*(-5 - 2 + 3)*(3 + 10 - 2 + (3 - 3 - 1)*(-2 + 3 - 3))*(-9 - 4 + 4) in the form l*n**2 + c*n**3 + p + o*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*f - 468*f = -591*f + 21120 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 15622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*g + 13 = 2*x, -x - 5*g + 7 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -46708340*s**2 - 9341673*s - 1 = 0. Calculate s.\nAnswer: -1\/5, -1\/9341668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10979 or -10978?\nAnswer: -10979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33558 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g - 0. Let r = 0.024 - 0.124. Let u = -0.4 - r. Which is the biggest value? (a) u (b) g (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*(-19)\/((-1254)\/60)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95 + -2797?\nAnswer: -2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -32. Let t = 8889\/154 - 419\/7. Find the common denominator of (-324)\/s - (-1 - -2) and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - y = 96. Solve 4*q + y = -0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -176, -319, -522, -803, -1180?\n\"Answer: -3*a**3 - 3*a**2 - 71*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2 + -2 + 5)*-1. Let k = 138 - 133. Solve 4*t - 24 = -3*d - d, -k*t + q*d = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. What is the common denominator of 38\/5 and c + -1 + 67\/(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.9*0.3\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/24 and 75\/592.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385\/(-6699)*(-6)\/5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21239 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 closest to 14.2 in -12, 0.11, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -21*c + 525. What is the smallest common multiple of 2*((-4)\/(-2) - 0) and c?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**3 + 556*l**2 + 59*l. Let w(t) = 3*t**3 + 185*t**2 + 17*t. Calculate 2*f(n) - 7*w(n).\nAnswer: -n**3 - 183*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2 + 7. Let c(j) = j**3 + 17*j**2 + 6*j + 108. Let f be c(-17). Solve n = u*n + f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(17\/5)*g**(-6\/17)*g**(-24)\/((g**(-2\/55)*g)\/g) assuming g is positive.\nAnswer: g**(-19557\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooox when four letters picked without replacement from {x: 1, o: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 103*s**2 + 985*s + 356. What is u(9)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {e: 9, j: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12777*m - 21409*m + 9619*m to k*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -2\/11, 65, -1.7, -1.\nAnswer: -28, -1.7, -1, -2\/11, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -25. Solve -3 - 1 = y*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:38 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2199798.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:09 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**3 - p**2 + 2*p - 1. Let r be u(1). Let w = 18 + r. Suppose 2*q + w - 3 = 0. Is q equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/10)\/(41\/(-205)))\/((-1)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57064 divided by -14\nAnswer: -4076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, 11, 1\/2, 0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 6*d**2 + 4*d - 2. Let r be z(-5). Suppose 2*c - 636 = -r*i - 243, -2*i + 262 = 3*c. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34 - 10345?\nAnswer: -10412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 1326*d**2 + 10588*d + 32. Give p(-8).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from otooootoototooottoo?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -26*v**4 + 10*v**3 - 162*v**2 - 146*v + 340. Let o(p) = 8*p**4 - 3*p**3 + 54*p**2 + 49*p - 113. Let j(s) = -5*h(s) - 16*o(s). Solve j(w) = 0 for w.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*q + 362 + 160 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*a - 93*a - 816 = 0. Suppose 2*u - 19 = 4*l + 5, -4*u + 28 = -4*l. Suppose u*k + a = 4*k. Solve -k*b + 15 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470a (base 11) in base 10?\nAnswer: 20822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlttttt. Give prob of sequence ttl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2392*x + 9588. Give v(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -6, -1\/4, -1275, -4\/3, -0.6, 18?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*z**3 - 221*z**3 - 209*z**3 - 141*z**3 + 754*z**3.\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 34 + 34 - 68.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:27 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 478 (b) 7 (c) 8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 131*u + 293. Let d be k(7). What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4484 = -0*h + d, 7460 = 5*h - 5*d. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 60406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (448\/(-296))\/((-3942)\/24309)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 9, -2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35\/12 + -19\/6. Which is the third biggest value? (a) 0.1 (b) -1\/19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.630637 millennia?\nAnswer: 2630.637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0 + 80. Suppose 2*z + 0*r + 10 = 4*r, u = 5*z + 5*r. What is the third smallest value in 2, -5, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and -25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169525 is divided by 664.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 6263?\nAnswer: 6265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0 - (-87)\/(-58). Which is the nearest to -1? (a) -2 (b) 3 (c) m (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.961 - 122.039. Which is the third smallest value? (a) r (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, -0.035, -17\/14 in descending order.\nAnswer: -0.035, -17\/14, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100.9 + 96.9. Which is the third smallest value? (a) 2 (b) -0.19 (c) x (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -255850, -255524, -255198?\n\"Answer: 326*c - 256176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 - 397*r**2\/2 - 1296*r + 11. Differentiate u(m) wrt m.\nAnswer: -2*m - 397","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) + (-413)\/(-4248). Which is the biggest value? (a) 5 (b) -119\/3 (c) -0.5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxx when four letters picked without replacement from sssssxsxsxxssssx?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 - 1447*h - 1396. What is k(290)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 34*w**3 + 24740*w**2 + 425784*w - 153360 = 0.\nAnswer: -710, -18, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1745692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 4*p**2 + p - 1. What is m(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 39. Let h be m(6). Solve -h*f + b - 13 = -3*b, -5*b = 2*f - 22 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011001 - 110?\nAnswer: -11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.97159 grams in micrograms?\nAnswer: 1971590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -10 - 8*j - 274\/3*j**3 - 81\/5*j**5 + 42*j**2 + 279\/4*j**4. Factor a(y).\nAnswer: -(y - 2)*(y - 1)*(9*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v**3 + 8508*v**2 - 8507*v**2 - 79*v**3.\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2714 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -32*d**3 + 2*d - 1. Let r be z(1). Let q = 27.9205 - 27.7205. What is the smallest value in r, -3, q, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 2)*(-72 - 12*p**3 + 11*p**3 - p**3).\nAnswer: -12*p**3 - 432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q\/(q\/(q*q**4))*q)\/q))\/q**(2\/11)*(q**(-12)\/q)\/q*(q\/q**0)\/q assuming q is positive.\nAnswer: q**(-222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) 0.08 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z**2\/6 + 1309033*z\/6 + 62335 = 0. Calculate z.\nAnswer: -2\/7, 187005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.39072*-0.02\nAnswer: -0.0078144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Suppose -v - 9 = -5*o + 1, -5*o - 3*v - 10 = r. Differentiate -2 - 3*k**3 + o + k**2 - k**2 wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5033844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/56)\/((-2)\/16). Let i = -374 - -239. Let m be z\/i*(-4 - -7). What is the third smallest value in -1, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189880 divided by 5\nAnswer: 37976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (sqrt(363)*2 + -1 - (-1*sqrt(363) + -4)))*-6)**2.\nAnswer: 171072*sqrt(3) + 1079244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - 13814?\nAnswer: -13841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 64392 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4186 - 2?\nAnswer: 4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x - 9. Let n be (-36)\/x*6\/4. Suppose p + 2*p = n. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Determine m, given that 11*m + 0*m**3 + 5*m + 6*m**h + 15*m**2 + 7*m**2 - 8 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52904 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -766, -1148, -1530, -1912?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.905908 rounded to 2 decimal places?\nAnswer: 5.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let i = 6 - 3. Solve -w*l - 5 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fhhqfrqhryfhfhdhhq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7380*h**3 - 22818*h**3 - 8174*h**3 - 2977*h**3.\nAnswer: -26589*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 42 + 60*p + (-p - p + 5*p)*(3 - 5 - 1) in the form y*p + t and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4417, -8993, -13723, -18685, -23957?\nAnswer: -29617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*(-6)\/4. Let s(l) = 15*l - 2. Let k be s(i). Are 13 and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 90*j**2 + 1241*j - 20. Let y be n(-20). What is y rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -0.5, -429539 in ascending order.\nAnswer: -429539, -0.5, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 2*s**3\/3 + 6*s**2 - 32*s. What is c(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00119479452 to 5 decimal places.\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 63*j - 57. Let d(t) = 501*t - 454. Let a(l) = -6*d(l) + 51*u(l). Find the first derivative of a(f) wrt f.\nAnswer: 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.6979 rounded to one decimal place?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j + 2. Let u = 138 - 137. Suppose -3*q = u + 8. Calculate n(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**5\/4 - 5*d**4\/6 + 25*d**3\/2 + 291*d. Solve t(z) = 0.\nAnswer: -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3\/(-9))\/((-84)\/63). Solve -6*y + 19 = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2936 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1, -3 in decreasing order.\nAnswer: 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 24. Let q(j) = -5. Calculate 2*i(b) - 11*q(b).\nAnswer: 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -252, -490, -726, -960, -1192, -1422?\n\"Answer: v**2 - 241*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5 = 3*h, 111*o - 2 = 114*o + 2*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17817 - -17817.057. Which is the nearest to -1\/4? (a) l (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*n - 32, 199*n = -3*g + 187*n - 72. Solve g*f + z - 8 = 0, -3*f = z + 6 - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-20))\/(10\/(-15)). What is the closest to 0 in 4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/126)\/((-57)\/(-27)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 1148, 2257, 3372?\nAnswer: 4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25a302 (base 16) to base 7\nAnswer: 26652100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64418 and 122.\nAnswer: 3929498","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*((sqrt(245) + 0 + sqrt(245))*-3 - (-2*(-2*sqrt(5))**2 + (sqrt(320) + 1 + sqrt(320))**2)).\nAnswer: -37230 - 2220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1776 + 8*o**2 - 906 - 2*o**2 + 6*o**2 - 14*o**2 to y + x*o**2 + i*o and give y.\nAnswer: -2682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:44 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from rmgrrmrgrrpprrm?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000335144 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -120302301?\nAnswer: -120302302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 27468 = 4*g - 9*g, 0 = 8*g + 2*j - 43940. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470163973?\nAnswer: 331, 457, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 11. Let m be k\/15 + -1 + (-50)\/6. Let l = 43 + m. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let u(w) be the first derivative of 43*w**2\/2 + 3*w + 46. What is v(u(l))?\nAnswer: -3698*l**2 - 516*l - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*o**3 + 2663*o**2 - 528612 + 1695*o**3 + 528612 wrt o?\nAnswer: 6996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7056654.\nAnswer: 2, 3, 11, 31, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/(-1*(-9)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -10. Let i(n) = -n**2 + n + 1. Let x(y) be the first derivative of -y**3 + 5*y**2\/2 + 4*y - 21. Give z*i(u) + x(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (48\/(-264))\/((-7)\/385) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9466177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*z*z*z**(-3\/5))**22\/(((z\/(z\/z**0))\/z*z)**(-31)*z**(2\/5)\/((z**6*z)\/z)) assuming z is positive.\nAnswer: z**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let c(a) = a + 3. Let g be c(-4). What is the remainder when 14 is divided by 1 + 0 + n\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99025700 rounded to the nearest 1000000?\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/168*4)\/(10\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8895943 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 14. Suppose 14 + 6 = 4*r. Let u be z(r). What is the tens digit of (-1)\/((5 - u)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20475, 20529, 20619, 20751, 20931?\nAnswer: 21165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**3 + 2*v**2 - v. Calculate the remainder when f(1) is divided by 1 + (-1 - -2) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, k: 7, w: 1, f: 2, d: 4, x: 1}. What is prob of sequence fxd?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -2. Let x = -349 + 511. Suppose v*m - x + 34 = 0. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120412 + 561?\nAnswer: -116521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/((10 - 13)\/(-116940)). Round y to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**3 + 0*c**3 + 0*c**3 + (-4 + 4 - 3*c)*(5 - 2*c**2 - 5) + c**3 + c**3 + 0*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*n**2 + 1 - 1 + (166*n**2 + 21*n**2 - 6*n**2)*(1 + 0 + 0).\nAnswer: 183*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 2, z: 6, l: 5, b: 1, q: 1}. What is prob of sequence lww?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 27\/(-15) - (-1)\/(-5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1374*a*j*m**2 - 2*a*m**2 - 104*a + j*m - 4*m wrt m?\nAnswer: 2748*a*j - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111111010110 (base 2) in base 6?\nAnswer: -1152130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 18 - 8. List the prime factors of b\/3*444\/37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.4 - 0. Let z = 0.6 - d. Which is greater: -2\/7 or z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 936375\nAnswer: 4\/312125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5) + -1 + sqrt(50)*1.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373937.\nAnswer: 3, 457979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1587*f - 2844. Let i(y) = 3*y + 3. Let l(j) = 2*i(j) + x(j). What is the first derivative of l(r) wrt r?\nAnswer: 1593","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -3. Let k = -56 + j. Let q = k - -56. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30583989, -61167982, -91751975?\nAnswer: -122335968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 + -2)\/((-5)\/385). Suppose 0 = -6*s + 3*s - 3*a + h, -4*a = -4*s + 1516. Suppose s = 4*c + c + 4*d, 4*c - 2*d - 290 = 0. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1585 * -3\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7832.073 months in centuries?\nAnswer: 6.5267275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -162*s - 13. Determine g(-1).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.3 (c) 1\/72 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6445318 rounded to three dps?\nAnswer: 4.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168591603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i + 39*i = -3*i - 134 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-2))\/(-2*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 14515232?\nAnswer: -14515211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1545985 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3a99 (base 16) in base 9?\nAnswer: -1561228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + 1 + -1 - (sqrt(7) + sqrt(7)*-1)*5).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c - 688*c - 152*c - 47*c.\nAnswer: -979*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(1 - 2\/6). Let c = -220 + 217. Sort -1, c, w in increasing order.\nAnswer: c, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -35, -29, -23, -17?\n\"Answer: 6*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22776\/89963 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 41\/(-6) + 7 + 1021196\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 1. Let c be j(2). Suppose 5*f - 129 = 266. Suppose -c*a + q + 169 = 0, -6*a + 3*a - 5*q = -f. Calculate the remainder when a is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-136)\/(-132) + (2 - 10 - -11)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 11:00 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 375759047 to the power of 1\/2, to the nearest integer?\nAnswer: 19385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4811561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1394191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 5. Let o(v) be the first derivative of -2*v**2 + 8*v + 128. Determine 7*i(c) + 5*o(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/7 + 2*z**4\/7 - 6*z**3\/7 - 2*z**2\/7 + 4*z\/7 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -34*h + 25. Give r(5).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-69))\/((-6)\/(-12))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13585 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7636 and 1581980?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003601 rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9942*o + 367855. Give j(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -110010101010010 (base 2) to base 14\nAnswer: -964a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-147)\/(-1288)) + -250 + 273.\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441\/(-735)*(-4)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15935.4 + -14346. Round d to the nearest 10.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 - 22*f. Let r(m) = 2*m**2 + 7*m. Let b be -5 + 4 + -3 + 7. What is b*j(k) + 10*r(k)?\nAnswer: 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*d + 115, -11*h = -11*d - 28*h + 15*h - 129 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0 + 1\/3*w**5 + 0*w**3 + 1\/3*w**4 - 15*w - 1\/2*w**2 + 1\/15*w**6. Let u(a) be the first derivative of s(a). Factor u(n).\nAnswer: 4*n*(n + 2)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) 0.5 (b) -2 (c) 0.1 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -369012 divided by -2292\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 116 (b) 107.5 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7237014 to the nearest integer?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + v + 2*v**2 + 2 - 130*v.\nAnswer: 2*v**2 - 129*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -68 (c) -3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 12:09 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -6. Let f = -60071 - -60070. Which is the second biggest value? (a) f (b) -0.4 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475863, 475862, 475861, 475860?\nAnswer: 475859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/(-12) - 1\/2. Suppose 20 = -g + i*g. What is the third derivative of r**6 + 82*r**4 - 5*r**2 - 82*r**g + 0*r**2 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r. Let k(t) = -156*t**2. Calculate k(j(a)).\nAnswer: -62400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6297 by -2099.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnllblllbnllnllbnc. Give prob of picking 2 l.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - 0) + -1 + 6088 + -6108 - -17.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - r + r)*(2*r**3 + r**3 - 2*r**3).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -2326215.5?\nAnswer: 1163107.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 12, -r = -4*o + 2*r + 52. Let n = 598 + -542. Let p be (-238)\/n + (-2)\/(-8) + 132. What is the greatest common divisor of o and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/22846 - -1165141\/114230. Factor 24\/5 + 3\/5*b**3 + 6*b**2 + y*b.\nAnswer: 3*(b + 1)**2*(b + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7245 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: In base 14, what is -285b + 2c3a?\nAnswer: 3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 5*q**2\/2 - 8*q + 3. Does 15 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 16 = -3*l, 2*w = -12*l + 15*l - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 19*g + 2 = 0. Let d be 2 + g - (2 + -4). Solve -d*f + 9 = -4*i - 10, 0 = 3*f - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*b - 11 - 86*b - 91*b + 266*b.\nAnswer: -4*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076227539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 8. Let v = x - -16. Is v\/(1 - -2) - -20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let t = 2 - i. Suppose t = -5*p - 26 + 181. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -3103*n**5\/20 + 211*n**4\/12 + 1067*n. What is the third derivative of a(b) wrt b?\nAnswer: -18618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -603\/559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 12*c + 0*c + 108911 = 0. Is 219 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/32)\/(6\/(6 + 18)). Let f = 0.03 - 3.03. What is the nearest to -0.1 in b, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 13*y**2 - 24*y. Let b(l) = -2*l**3 - 25*l**2 + 52*l. Let d(f) = -6*b(f) - 13*r(f). What is t in d(t) = 0?\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 8:12 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/115 and -5\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -69. Calculate the remainder when 24 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9757678, 4, 3 in decreasing order.\nAnswer: 9757678, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynn when three letters picked without replacement from nnyyyiyyi.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50458800127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-10 - (1 + -3) - (-9 - (-28 + 27))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:07 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - u**2 + 4*u - 3. Let p be g(2). Suppose 0 = 8*v - p*v - 1. Let q = -49 + v. Round q to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Let z(m) = -448*m + 10. Let w be z(-1). Suppose 0 = v*f - 4*d - 1141, 2*f + 4*d - w = 6*d. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -933*v**2 - 5*v + 507. Let l(y) = -4*y**2 + y - 1. Let r(i) = d(i) + 5*l(i). What is the derivative of r(x) wrt x?\nAnswer: -1906*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**3\/6 - 2*g**2 + 2*g. Let u be r(-3). What is the remainder when 5 is divided by 5*(u - (-14)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*u + 1051 + 310 = -251 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188378590?\nAnswer: 2, 5, 18837859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + s**2 - s**2)*((-5 + 1 + 7)*(2 + 2 - 2) + 0 + 0 + 2)*(-2 + 4 - 3).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 379.97 times -0.05\nAnswer: -18.9985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5 + a + 2*a - a**3 + 5 + 4*a**2. Suppose 4*r + 2178 - 2194 = 0. Calculate the lowest common multiple of r and d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 33 + 6*q + 4 - 12 - 4 - q**2. Calculate z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4 - -2)*(-2 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12129.9972 - 0.45.\nAnswer: 12129.5472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - m + 577 = 0, 418 = c - m + 125. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400+59943.87235\nAnswer: 59543.87235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = q, -4*q = -17*a + 12*a + 15. Which is smaller: 14\/45 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(304\/(-40))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpw when three letters picked without replacement from wppdmmmddmwmdppmwwwp.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.3. Let q = -5.01 + 0.01. Put -2, s, q in increasing order.\nAnswer: q, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 72 = 21*m. Let z = 305 + m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/10)*(t\/(t*t**(1\/8))*t)\/t*(t*t**(2\/5))**11*(t**4\/t**3)\/(t**0)**(1\/61) assuming t is positive.\nAnswer: t**(663\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5983263*i**3 - 28690*i - 290.\nAnswer: 35899578*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.612086779 to four decimal places.\nAnswer: 3.6121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 912 and 1026?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.085, -8, -1916 in increasing order.\nAnswer: -1916, -8, 0.085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-7)*56\/(-12). Suppose -s + 17 = -0*s + 3*x, 4*s = -b*x + 36. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892945 is divided by 297239.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -50583 < -50556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 2*h**2 - 8*h + 13. Let j be q(3). Let a(n) = -n + 4. Give a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k - 32*k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00254 to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 9897585*b\/2 + 4948792.\nAnswer: (b - 9897584)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p + 36*p - 85*p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0300522 rounded to four decimal places?\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -33. Let a = 56.61 - q. Let x = -0.38999991 - a. What is x rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 8*m - 5. Let w(l) = -6*l**2 - 40*l + 24. Let s(p) = 16*r(p) + 3*w(p). Factor s(z).\nAnswer: -2*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 900991980.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121345, 242695, 364049, 485407, 606769, 728135, 849505?\nAnswer: 970879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 8:13 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -428. Let r be (-18)\/81 - d\/(-18). Suppose 0 = -4*a + r - 3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 15. Let g = i - -10. Suppose 5*b - g*b = 0. Sort b, 4, -5.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 16 = -5*m, -36*m + 40*m - 4*h - 52 = 0. Solve -99 = 35*a + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*f + 61, 4*y - 59 = -0*f + f. Let i = y + -5. Suppose i = 2*j + j - 2*p, 5*p = -j + 3. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:00 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 105304 - 501565082\nAnswer: -501459778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1715 + -5069\/3. What is the common denominator of h and (2 + 39\/(-21))\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-1)*((-4)\/10)\/(-13*(-142)\/(-13845)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92997343.49999932 - -92997341. Let p = h + 2.5. Round p to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 8*f - f**3 - 25 - f**3 - 4*f + 0*f in the form d + m*f**3 + n*f**4 + s*f**2 + k*f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 p when three letters picked without replacement from pppppppzppz.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(63)*-4*6)**2*1 + -4 + -2.\nAnswer: 36286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4898242.69 to the nearest 1000.\nAnswer: 4898000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 3*w**2 + w + 3. Let f be a(-2). Solve -2*b + f*b - x = 16, 3*b + 2*x = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1597.32784 and 5902358?\nAnswer: 5900760.67216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 b when four letters picked without replacement from btxbjbbbe?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2280*c*k**2*q**3 - 2*c*k**2*q**2 + 437*c*k - 4*c*q**3 + 2*c*q**2 - k**2*q**2 + k*q wrt q?\nAnswer: -13680*c*k**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 177*m - 173*m. Suppose m = -24*l - 5*l + 2*l. Solve l = -3*h + 4*s + 4, -3*s = h - s + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by -20*((-2 - 4) + 4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/572 and 59\/44.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i + 54. What is the hundreds digit of g(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**8\/336 + 13*j**7\/21 + j**4\/8 + 11*j**3\/6 - 3*j**2 - 97. What is the second derivative of u(c) wrt c?\nAnswer: -20*c**3 + 1560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20. Suppose 0 = 4*o - 0*o - 3*a - 8, 4*o + 2*a - 28 = t. Solve 3*w - 7 = 6*w - 5*l, o*l = w + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*q, -2*y - 7*q + 2 = -3*q. Let z = 7 + 2. Let d(l) = -l + 6 - z*l**2 - l - l + 8*l**2. What is d(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 15) in base 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27808206 or -27808207?\nAnswer: -27808206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -32 (b) -2\/225 (c) -1 (d) -0.1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 8:58 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x - 2*v, v + 21 = x - 5. Let h = 7 + -2. Let z = 13 - h. What is the highest common factor of x and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 59 = 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1966531 and 79?\nAnswer: 155355949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24 - 28)\/(1*2\/(-4)). Solve -4*u - y = -5*a, 4*u - a + 5*a = 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 31. Let a = -17 - z. Sort 1\/7, a, 5 in increasing order.\nAnswer: a, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 2*x + 3*x - x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(-p - 4*p + 6*p) + 7*p - 5933 + 2933 + 2920 to the form w + t*p and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*w + 0*w + 106 = 3*w, -3136 + 3390 = -11*p - 3*w for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2351*q + 209258. Give d(89).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -336798 divided by 37422?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 211, 169, 51, -179, -557, -1119?\n\"Answer: -6*o**3 - 2*o**2 + 6*o + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:41 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 16922147?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:46 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.143 - -2.857. What is the third smallest value in 5, -4, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (693258\/(-1589) + 436)*(-272 + -1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 51488024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 22*k - 25. Calculate a(20).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*b + 4*i, 16*i - 10 = -b + 15*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 338 and 2?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.379038 milliseconds in days?\nAnswer: 0.000000490498125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1500*i**2 - 1761*i.\nAnswer: -3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7135 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*u = -0*u + 74, -d + 19 = -u. Suppose -d*z + 11*z + 740 = 0. Let x = z + 52. Calculate the greatest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -23*s + 6. Suppose -3*t - 1679 = -2*a, -4*t = s*a - 7*a + 4187. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-110)\/(-22)*(-3)\/30).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-100)\/(-26) + (-8)\/(-52). Let d be 28\/6 + (-6)\/9. Suppose -7*c - s*l = -4*c - 54, 2*c - d*l = 56. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 - 3*f + 2. Let p be u(-3). Let w = p + 14. Which is bigger: w or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away 836587325171.7?\nAnswer: -836587325170.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*u - 1007 + 534 = -518, -39*h + 3*u - 351 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 19. Let c be w(8). Let s = c + -6. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163 + -68. Let v = 99 - c. Calculate the greatest common factor of v and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 3\/5*q + 1 + 1\/5*q**3 - 3\/5*q**2. Factor l(k).\nAnswer: 3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 + (-486)\/63)*1652\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -14 - 4\/15*o**3 + 0*o**2 + 0*o - 1\/5*o**4. Let s(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*n - 6*n - 533, 0 = 2*g + n - 206. Suppose 15 = 5*z - g. Calculate the greatest common factor of 72 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6566147*d**2 - 3973797*d?\nAnswer: 13132294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -6\/65, -22\/67, 4?\nAnswer: -22\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4 = 0, -6*d - 318*l + 321*l = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59c (base 14) to base 12\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*4\/8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/21 - (-1)\/((-21)\/12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 5*o + 2. Let k(i) = -2*i**3 - 33*i**2 - 15*i - 6. Let h(j) = 6*d(j) + 2*k(j). Determine b so that h(b) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 196127166, 196127166, 196127168, 196127172, 196127178, 196127186, 196127196?\n\"Answer: i**2 - 3*i + 196127168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 2. Let r = y - -14. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79*36\/17064*(6\/(-5))\/(-2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4273000 and 1390?\nAnswer: 593947000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/120 + h**5\/60 + h**4\/24 - 13*h**3\/6 + 2*h**2. Calculate j(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + u + 2*u)*(-u**2 + 0*u**2 + 0*u**2) - 2 - 3*u**3 + 2)*(2*u + 2*u - 7*u).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 4:05 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 24*v + 32*v + 11. What is n in v - 2\/7*n**3 - 2\/7*n**4 + 2\/7*n**2 + 2\/7*n = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/33 + (4\/22 - 0). Suppose h = -v - 2*q + 8, 0 = -4*v + 2*q + 36 + 16. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06176*0.6.\nAnswer: -0.037056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*j = -33, -1043 = 5*j - 1058 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-252)*144 + (-32)\/14 + 2. Let w(j) = -j**2 + j + 83. What is w(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1507131934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1081, 6, -1, -4.\nAnswer: -1081, -4, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*u + 18, -3*u = -s - 15 + 25. Solve 0 = -9*m + s*m - 4*y - 41, m = -5*y - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r, 5*r - 4*r + 12 = 3*i. Let h = -9 - 1. Let s = h + 10.2. Which is the nearest to s? (a) 0.1 (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001010101000010100110 - 10?\nAnswer: -1001001010101000010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (18 - (7 + 20)) + -5 - 104?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 v, and 1 w when four letters picked without replacement from hhjvvjwjwjjj.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 48 = -8*f. Let n = f - -9. Sort n, 3, 2, -2 in decreasing order.\nAnswer: 3, 2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1293392, 1293415, 1293446, 1293479, 1293508, 1293527, 1293530, 1293511?\n\"Answer: -y**3 + 10*y**2 + 1293383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(6\/5)\/g*g**(-45) assuming g is positive.\nAnswer: g**(-214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306404468 or 306404467?\nAnswer: 306404468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/69 - 2\/23. Let c = 7.73 - 7.93. What is the nearest to c in -13, 1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 2562.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 + 130. Suppose -3*p + 3*q + 858 = u, p - 2*q = 229 + 52. What are the prime factors of p?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94 and 39997.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a**2 - 2*a + 1. Let f be h(1). Let l = f - -21. Solve -2*j + 5*n - l = -4, 3*j - 9 = 3*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(15\/6) + (12 - 0). Let q(r) = 53*r - 84. What are the prime factors of q(h)?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 5 = x, 2*d - 22 = -44*x - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 60 = 6*x. Solve v + x*v - 33 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55 take away 3453.3?\nAnswer: -3451.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3633, -2\/25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 10.4 (c) 6 (d) -35\/207 (e) -2\/9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 46. Let g = -30 - u. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*-1.7\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8047153 decades to years.\nAnswer: 8.047153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q + 2371*q + 1821*q.\nAnswer: 4244*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, e: 6}. What is prob of sequence ie?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14235 - 14166. Calculate the remainder when 564 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15a5962 (base 11) to base 9\nAnswer: 5122246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:02 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from rvvrv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -37) + (3 - 1) - -1. Does 10 divide 2714\/14 + 1 + s\/280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Let h be 1\/m - (-7)\/(-21). Solve h = -k + 4*q + 6, 0*k + 2*k = 3*q + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 2*p + 3 + 0*p**3 - 3*p**2 - p**3. What is the units digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 0*b + b)*(4*b - 6*b + 4*b) - 44*b**2 + 105*b**2 - 46*b**2 - 2*b**2 - b**2 + 0*b**2 as f*b + r + y*b**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 1110011111110?\nAnswer: -1110100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*c + 8. Suppose -w + 0*a = c*a + 4, 3*a + 24 = 3*w. Let r(z) = z**3 - 5*z**2 + z + 1. Determine r(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-1)\/2 + 55\/150). Which is the nearest to 1? (a) l (b) 0 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 161. Suppose 4*c - 1296 = -4*c. Let y = z + c. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 + -109. Solve 5*b + 3*p = -12, -c*p - 8 = 4*b - p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 560.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 18*h + 2. Let w be u(18). Suppose c - 63 = -w*c. Factor 5 + 10*i**2 - 9*i**2 - 23 - 4*i**2 - c*i.\nAnswer: -3*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 79. Let m be i(44). What is the nearest to 2.6 in m, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 6967758.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 94*m**3 - 3*m**2 + 5*m - 5. Let x = 32 + -30. Let t be b(x). Suppose d = -4*d + t. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**4\/4 - h**3 + h**2 - 1. Let n be q(4). Let u be 3\/(2*3\/72). Calculate the greatest common divisor of u and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-30)*h*h\/(h*h*h**(-22)*h))\/((h*h\/h**(-1\/19))\/h*h**37))**(-25\/2) assuming h is positive.\nAnswer: h**(-6625\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1826983, 3653968, 5480953, 7307938?\n\"Answer: 1826985*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 - (2 - 9)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -5 + 4 + 0 + (4 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9968 = 16519. Is d a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 19. Let s(m) = 5. Let h(b) = -2*d(b) - 9*s(b). Let i be h(-5). Let x = -2508 - -2512. Is x bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142845 divided by 1?\nAnswer: 1142845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156.09 - 156.2. What is the nearest to n in -1, 2\/7, 2.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/360 - 13*y**4\/144 + y**3\/3 + 22*y**2 + 43*y. Let a(c) be the first derivative of s(c). What is q in a(q) = 0?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/2*(-2)\/83. Let c = b - -712\/415. Factor -9\/5*a + 3\/5 + c*a**2 - 3\/5*a**3.\nAnswer: -3*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -151, -1\/2 in increasing order.\nAnswer: -151, -1\/2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11794208 divided by 6?\nAnswer: -5897104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:00 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 11*r + 15. What is the remainder when 39 is divided by q(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(468) + 5 + sqrt(468))**2) + (sqrt(13) + sqrt(117)\/sqrt(9) + -3)**2.\nAnswer: -1836 - 131*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 = 37272\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.7 and -2.5951.\nAnswer: -10.2951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634 + 634 + 1002*i**2.\nAnswer: 1002*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1117 - 565. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6706 + -0.7006. Which is the nearest to -2? (a) 6 (b) 7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.391399 years to centuries.\nAnswer: 0.00391399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 27. Let w(c) be the second derivative of 3*c + 0 + 0*c**o - 1\/30*c**4 + 1\/5*c**2. Let w(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(10\/3))**(-24))**(-39))**(-6\/17))**(6\/23) assuming o is positive.\nAnswer: o**(-112320\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from uojmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9555550867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 72 + 4*k - 148 + 78 + 7*k.\nAnswer: 8*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1129*b - 1236*b + 2048*b to q + v*b and give v.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + k - 1. Let q(o) = o**3 - 3*o**2 - 4*o + 3. Suppose 0*l = 6*l + 6. Calculate l*q(g) - 3*t(g).\nAnswer: 2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (18\/3)\/1. Suppose -s = 4*k, 4*m + 0*k - 356 = -4*k. Let n be ((-3)\/m)\/(3\/12). What is the third smallest value in 0.3, n, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*m**3 - 407 + 248*m**3 + 407.\nAnswer: 1144*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11038158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -297, -277 in increasing order.\nAnswer: -297, -277, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -201*m - 8. Give o(-1).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/((-9)\/(-2)). Suppose i = 4*i - 12. Suppose 0 = -5*w - g + 20, -i*w - g + 37 = 4*g. What is the closest to 0 in w, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0.0561 (c) -2\/13 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*i + 198 = 436*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose -5*c - 2 = 2*p, -2*c = -h*p + 4*p - 1. Let t be 2*5*4\/8. Solve -t*q + q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*j**2 - 144166*j + 34240684?\nAnswer: -92*j - 144166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17066046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 + 5*u**2 + 2*u + 3. Let c(g) = 4*g**3 - 6*g**2 - 2*g - 4. Calculate 5*c(h) + 6*p(h).\nAnswer: 2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 - -0.6. Which is the third smallest value? (a) -1\/11 (b) 2\/5 (c) m (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3527, 7050, 10567, 14078, 17583, 21082?\n\"Answer: -3*p**2 + 3532*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -337726 and 0.4?\nAnswer: -135090.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**4*q*((q\/q**(-3\/2))\/q)\/q assuming q is positive.\nAnswer: q**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1038333083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhiw when four letters picked without replacement from ihhww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78093, -87400, -96707, -106014, -115321?\nAnswer: -124628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -124*k + 13753. Calculate v(111).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.657 and 0.03.\nAnswer: 0.07971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406391?\nAnswer: 19, 73, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144263 (base 8) in base 13?\nAnswer: ac922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v. Let u(g) = -6*g + 29*g - 11*g - 7*g - 6*g. What is -3*o(r) - 7*u(r)?\nAnswer: -3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-14 - -2)*2. Let z be 14\/(-63) - (-26)\/(-45). Let w be (-8)\/(-14)*2\/4. What is the closest to -0.1 in z, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 8 + (-6)\/3. Solve -j*n + 3*x = 5 + 7, 0 = 4*x - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 - 42*u**3 + 912*u**2 + 178891594*u.\nAnswer: -12*u**2 - 252*u + 1824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -4 - -1*7. Let i(p) = -1 - o*p + 0 - 2. Calculate the least common multiple of i(-5) and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, j: 7, c: 1}. What is prob of sequence cmmj?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 16 = 0. Suppose -f*s = -s. Factor 0 - a**4 + a**3 + s*a**5 - a**5 + a**2 + 0.\nAnswer: -a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7267, 7257, 7247, 7237, 7227, 7217?\n\"Answer: -10*m + 7277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540200.\nAnswer: 2, 3, 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*n, 15 = 2*p + p + 3*n. Let x = 5 + -7. What is the tens digit of (-1 - x)*(p + 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -144168*a + 25*a**2 + 144168*a. Let v(t) = 65*t**2. Calculate v(s(b)).\nAnswer: 40625*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = 3*z, -3*t + 3*z - 4*z + 4 = 0. Suppose t = 2*f + 2*f - 36. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -384 + 234. Let u be -72*(a\/(-9))\/(-10). Do 239\/2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 - 3*a - 4. Let n be c(-2). What is the units digit of 17 + 0 + n\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 3*t - 135 = 0, -2*t + 37 = -12*k - 73 + 12 + 2 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:20 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 61738685 (b) -6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2)\/(27\/(-81)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2136.7 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/17, 0.5, 2\/11, -376?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.933 + -1.093. What is the second smallest value in 0.4, w, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40938000 rounded to the nearest 100000?\nAnswer: 40900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 + -2 - -56) + 46.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050748 times -0.16?\nAnswer: -0.00811968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -3877*p**2\/2 + 3126*p - 1498. Find the first derivative of f(k) wrt k.\nAnswer: -3877","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310728 is divided by 1098.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11935)\/(-2604)*4\/10?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, and 1 o when three letters picked without replacement from smhddodjhjjhooojj.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (180\/675)\/((-22)\/27). Let a = z - 1927\/330. Suppose -11 + 1 = 2*l. Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13978590 rounded to the nearest 10000?\nAnswer: 13980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*l - 7, 4*n = 2*l + 20 - 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/5 + (-2)\/5. Suppose 2*z - 5*m = 21, -2*z + 0*m - y*m = -12. Suppose 2*d - z = -2*d. Solve -4*x = d*s - 18, 9 + 0 = 3*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15 + (-144)\/(-15). Suppose 48 + d = 2*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: What is the eighth root of 7691603 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 102 = -2*g - 111, 183*x = 179*x - g - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16805662.65ms?\nAnswer: 0.027787140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o + 91 - 226 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, -0.01, -2, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*x - 5, 2*x = -5*w - 2*x + 39. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w - 1\/3*w**3 + 0*w**2 - 1. Let q(m) be the third derivative of -m**5\/30 + 3*m**2 - 308. Determine o(q(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p - 108. Let o be m(11). Solve o*l - 5 = 3*l + 2*a, -a + 2 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -33, -914.5, 4, 0.2 in increasing order.\nAnswer: -914.5, -57, -33, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/2 - j**2. Let b(s) = 931 + 2*s - 931. Determine i(b(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5*j + 30, -5*j + 13*v = 16*v - 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*z + 218*z = 40. Sort 6, -1, z, -19 in descending order.\nAnswer: 6, -1, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27736527 and -0.0819.\nAnswer: -27736527.0819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsjsjsgjsggsfsgssfs. What is prob of sequence ggfs?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.208 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 - 6*g + 2. Let r be d(5). Let k be (r\/(-2))\/((-2)\/(-4)). Suppose k*u = u + 4. Solve 0*z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7350 is divided by 245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5134, -1783, 1542, 4829, 8066, 11241?\nAnswer: 14342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205 - 202. Solve 3*h = -l - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 4*h + 2*x, -3*h + 4*x + 7 = 6 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 8)*1\/3. What is the remainder when 1001\/21 - 2\/n is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzj when three letters picked without replacement from dqqdijqzqjju.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2496*v**5 + 204044*v**4\/3 - 1501453*v**3\/3 - 203246*v**2\/3 + 1493965*v\/3 - 266 = 0?\nAnswer: -133\/4, -1, 1\/1872, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -2 - 4 - -9. Suppose -5*v - 53 = -l*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5168 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/((-6688)\/144)*(-2)\/3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4 + 0 + 0 - 7*n. Let x = -17 - -30. Let u = x + -19. Let d(l) = -l - 1. Give u*d(w) + m(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - -18)*(-4)\/(-8). Suppose -n*o - v = 3 - 4, 0 = 2*o - v - 9. Solve 4\/5*d**3 + 2\/5*d**4 + 2\/5*d**o + 0 + 0*d = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 4. Let b be r(-5). Let p = 941\/2 - 461. Let x = b - p. What is the closest to 1 in 0.5, 1\/7, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/17 - 2190*o**2\/17 - 799350*o\/17 - 97254250\/17.\nAnswer: -2*(o + 365)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 602 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + 0 + (29 - (16 + 44)) + 32?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + ((-4675)\/(-33))\/(-5). Let d be t\/48 + 2\/6. Which is the nearest to d? (a) 0 (b) -2\/37 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(3) + 1)*5 - (sqrt(36)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -7 (b) -1\/4 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 14 (b) 5 (c) 0 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 8531722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + b - 5, -3*b + 15 = -2*q - 2*q. Let t = 7 + q. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + (-12)\/(-30). Suppose 4*v - 8 = -g*v. Suppose 3*k**v - 5*k**2 + 5*k + k = 0. Calculate k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m. Let d(z) = 5*z. Let a(c) = -4*d(c) + 7*w(c). Let r(b) be the first derivative of -26*b**3 - 15. What is r(a(v))?\nAnswer: -78*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three thirds of a year in months?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 21. Let u(z) = -6*z - 22. Calculate 4*r(v) + 3*u(v).\nAnswer: 2*v + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = 2*n, -2*u = 2*n - 6*n + 10. Suppose 4*t - x = u, 2*t + 0*t - 2 = 2*x. Solve t*b - 6 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5*j - 2*h**4 + 1163*h**3*j - 42*h**2 + 123*j wrt h?\nAnswer: 120*h**2*j - 48*h + 6978*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, 1, -35051.\nAnswer: -35051, 1, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/53785 and 115\/2082?\nAnswer: 322710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times -2507687?\nAnswer: 293399379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - -438. Let b = -266 + m. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 777558532793 and 96?\nAnswer: 777558532697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205428058 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (229 - 1)\/(-19) + 1 + 3 + -8. Let v(l) = -l**2 - 23*l - 59. What is v(a)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38627 is divided by 858?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 16, -k + 10 - 4 = -4*f. Let l(h) = h**2 + 7*h - 3. Let j be l(-6). Let n = k + j. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10943*d - 10940*d + 8*d**2 + 41*d**2)*(561 + 2*d - 4*d - 537) in the form v*d + k*d**2 + g + u*d**3 and give u.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 52. Let d be (0 + (-24)\/9)*(-39)\/s. Let o = -52 + d. Solve o = t + t + 10, 2*t - 10 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 2*j**4)*(1 - 1 + j + (-j + 5*j - 2*j)*(1 + 0 - 3) - 5*j + 0*j + 4*j).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51680928 by 2.\nAnswer: 25840464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxhxxxxxxhhxxxxh. What is prob of sequence hxhh?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/12)*t\/(t**(2\/5)\/t)*t assuming t is positive.\nAnswer: t**(151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let j be m(-2). Let b be 88\/j + 6 + -3. Let y = 162 + b. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 269509784 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 8*c - 17. Let b be j(-4). Let m be 0\/b*(0 - 3\/3). Solve w - 3 = -m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -123b7?\nAnswer: 123ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-5)\/(-5) - -3. Suppose -6 = x*v + 6. List the prime factors of (-1 + (-1)\/v)*(-4860)\/40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/(-12) - 0). Suppose j = a*j - 160. Solve -3 = 5*u - 4*t + 10, 4*t = -4*u - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 56*f**3 + 44*f**2 + 264*f + 162.\nAnswer: 2*(f - 27)*(f - 3)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 49. Let d = 375030401.1 + -375030421.10000009. Let w = v - d. What is w rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 3447.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*i**4 - 10979921*i**3*s + 1243768*i**2*s + i*s wrt i.\nAnswer: -792*i - 65879526*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*(101 + -141)?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 1\/40*a**6 + 0*a**3 - 2*a**2 + 0 + 0*a + 1\/30*a**5 + 0*a**4. What is the third derivative of y(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/5, -0.3, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f - 13. Suppose -28 = 2*d - 6*d. Let q be z(d). What is the highest common factor of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 17}. What is prob of sequence ltl?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + l - 7. Let w(d) = 2*d**2 - d + 8. Let f(o) = 6*r(o) + 5*w(o). Let m = -528 - -531. Calculate f(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272171004490*b**2 + 85*b**3 - 272171004490*b**2.\nAnswer: 85*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -100, -2*p - 450 = 12*g + 18*g - 7*g. Factor 1\/6*m**p - m**3 - 5\/6*m**4 + 0*m**2 + 0 + 0*m.\nAnswer: m**3*(m - 6)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111100000 - -101?\nAnswer: 10110111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/5)*o)**(-2\/17)*(o**(-1\/4)*o)**(-3\/5) assuming o is positive.\nAnswer: o**(-249\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(4\/16). Suppose 0 = -k*l + 43 - 9. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 7) in base 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (637*i**2 - 488*i + 488*i)*(-2*i**3 + 3*i**3 + i**3).\nAnswer: 1274*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 77*n - 82*n + 2*n**2 - 1 + 2*n**2 + 3*n**3 - 2*n**3. Let x(s) = -s**2 - 7*s + 2. Let b be x(-7). Suppose -5*l = -b + 27. Calculate u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 3*d**3 + 3*d - 8*d + 3*d**3 - 2*d**3.\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72203328.827445 + -5.\nAnswer: -72203333.827445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 10. Let d(u) = 5*u - 2. Let g(f) = -29*f + 11. Let r(a) = 34*d(a) + 6*g(a). Let s(c) = -11*c - 6. Suppose 11*l = 13*l - 34. What is b*s(y) + l*r(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162 + -1689. Let r = 1526.311 + q. Round r to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3 (c) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 72*q**2. Let k(z) = 29*z**2 - 7*z + 7. Let j(w) = 25*w**2 - 6*w + 6. Let s(h) = 7*j(h) - 6*k(h). Determine s(a(g)).\nAnswer: 5184*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 6060038 in increasing order.\nAnswer: -2, 0, 6060038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.572 take away -11984732?\nAnswer: 11984733.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 7:19 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 18 - -23 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*t - 130*t + 222*t - 7 as k*t + q and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 522 and 78.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:23 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/5 + 34*z**2\/5 - 32*z\/5 - 544\/5 = 0.\nAnswer: -17, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllldllldx. What is prob of sequence ll?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -817? (a) -13 (b) -6 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 30*y + 138. Is v(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/20 + 217*b**4\/2 + 94178*b**3 + 1093*b**2. Factor i(z).\nAnswer: 3*(z + 434)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 1446027?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 5\/((-15)\/(-9)). Let p = 4 + f. Suppose 7 = p*d - 2*m, 0*m + 6 = d + 3*m. Sort -1, -4, d.\nAnswer: -4, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4*x + 2)*(1 - 6 + 3) - 3*x + 0 + 0 to the form f + o*x and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4346 (base 11) to base 8.\nAnswer: 13151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32\/5, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Let a be ((-21)\/(-6) - 4)*-2. Let k = -8 - -11. Solve a + k = c*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 161*p**2 - 163*p**2 + p - 150*p**3 + 112*p**3.\nAnswer: -38*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 less than -26?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432098022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42*(-9)\/(-54) - -1322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -108, -158, -212, -270, -332, -398?\n\"Answer: -2*o**2 - 40*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15924 + -15921. Which is the second smallest value? (a) t (b) -4 (c) 0.4 (d) 2\/15 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*d - 3*d + u, 0 = -2*d + u + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10435, -10437, -10439, -10441, -10443?\n\"Answer: -2*j - 10433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -782, -777, -768, -755, -738, -717, -692?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 + -101. Suppose 2*s + l = 714. List the prime factors of s.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (((sqrt(480)*-2 - sqrt(480)) + sqrt(480))*-2 - sqrt(480)))\/(sqrt(392)*2 + sqrt(392)))\/((sqrt(24) - sqrt(48)\/sqrt(2)*4)\/(sqrt(200)*1)).\nAnswer: 20*sqrt(5)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(6\/7))\/(n\/((n\/((n\/n**(-4\/15))\/n))\/n)))\/(n**(-11)*n*n**(-3\/13)) assuming n is positive.\nAnswer: n**(14771\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 4*c + 14 = 0, 3*c = -4*w - 1. Suppose -a = -4*i + 4*a + 16, 0 = w*a + 8. Let n = 13 + i. Calculate the remainder when 23 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359.37*5.\nAnswer: -1796.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 1. Let i be 3\/((-4)\/(896\/(-12))). Let h = i - 63. Let c(f) = f. Give h*c(z) + 2*g(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147321, -589315, -1325973, -2357295?\n\"Answer: -147332*w**2 + 2*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orrocrr. Give prob of picking 2 c and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17467\/32929 + -2\/1937. Put -1, w, -4 in ascending order.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 5:04 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 z when four letters picked without replacement from zquruzurqquuqquzuzz.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 4*t**2 + 17*t + 58. Let l be o(-5). Let f = l + 250. Put 0, -24, -1, f in increasing order.\nAnswer: -24, f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/6)\/(2\/(-8)). Let y = w + 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*j**3*p**4 + 3361*j**3*p + 127*j**3 - 4424*j*p**4 wrt p.\nAnswer: -1992*j**3*p**2 - 53088*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/11 - -1380\/1067. What is the smallest value in x, -4\/3, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 224198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 651184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.750889um?\nAnswer: 0.0008750889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64\/(-31) + ((-12)\/21)\/(50\/(-175)). Which is the biggest value? (a) o (b) -5 (c) 1 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 42. Suppose 46*k**2 - x*k**3 - 36*k**2 - 22*k**2 = 0. Calculate k.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*j + 159*j - 313*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74942 divided by 14?\nAnswer: 5353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-244)\/124 + 2 + -1. Let p = 117\/217 + l. Which is the closest to -1\/4? (a) -4 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -7*s + 11\/3*s**3 + 0 - 7\/2*s**2. Is j(4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280253, -280190, -280135, -280094, -280073, -280078?\nAnswer: -280115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15167495*o + 4296662*o - 1.\nAnswer: -10870833*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -293\/27 - 40\/27. Calculate the common denominator of ((-3)\/60)\/(2\/172) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2920886 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.4, 6, 0.0072, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.185*58.\nAnswer: -10.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459431, 459424, 459415, 459404, 459391?\nAnswer: 459376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*c + 175*c = -6. Let n(r) = r + 1. Let q(v) = 5*v + 1. Give c*q(m) - 6*n(m).\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 5:17 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 - 2*f**2)*(2*f**2 - 2 + 2) + 11*f - 11*f - 12*f**4 - 2*f**4 - 5*f**4 - 3*f**4.\nAnswer: -26*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17679.3 - -17694. Sort i, 4, 2.\nAnswer: 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 j when three letters picked without replacement from jbbbbjv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3446953863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-434 - 380 + 86)*(l + l + 2*l).\nAnswer: -2912*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 39411, -1\/2 in descending order.\nAnswer: 39411, 1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**3 - 95*g**2 - 40*g + 3200 = 0?\nAnswer: -16, -8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -5959944.1?\nAnswer: -2979972.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139758649 and 4646.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Let w be 18*o*(-1)\/(-3). Let i = w + -13. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 997*d**2 + 30887*d + 6743. What is w(-965)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*o - 21*o - 32*o)*(-169*o - o**2 + 446*o - 210*o) in the form a + u*o + z*o**3 + i*o**2 and give i.\nAnswer: -2479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4877494 is divided by 37810.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480585087 to the power of 1\/2, to the nearest integer?\nAnswer: 58996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -13\/4 (c) 2 (d) -0.02 (e) -3\/4 (f) -6.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 224, 1, 2, -5.\nAnswer: -5, -2, 1, 2, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30162.\nAnswer: 2, 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:09 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -1a6b?\nAnswer: 1a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -4. Suppose q + 5*m = 5*q + 210, -2*m + 204 = -4*q. Let v = -49 - q. Which is the nearest to 0.3? (a) z (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 21193 = 21153 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 + 8*p + 1315. Determine n(-24).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.2 (c) 19\/653 (d) -0.1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 66*q + 3820. Calculate j(-58).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + -b?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 145515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348955 or 0?\nAnswer: -348955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4608784716594 and -0.342.\nAnswer: 4608784716593.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21 = 0, 73*r - t = 70*r + 23. Solve -r*o + 8*o - 5*d = 22, 4*o = d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 0, -3\/5, -0.2, -323?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -576 (b) -0.5 (c) -12\/31 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose -w*d + 17 = -3. Suppose 5*j = 4 + 16. Solve 2*t + 2*y + 11 = 3*t, -j = -d*t - 2*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/7*1)\/(32964\/41205).\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 66*i**2 + 16*i + 480.\nAnswer: 2*(i - 4)**2*(i + 3)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/128 and -7\/464.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 471634430 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 - 51*h**2 - 39*h - 8 + 10 + 54*h**2 wrt h.\nAnswer: 6*h - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172 greater than 2169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2499*s**2 - 129950*s + 135. Give n(52).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(1122\/55))\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12371502277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1621, 1623, 1633, 1657, 1701, 1771?\nAnswer: 1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q = -121*q - 8, -5*o = 3*q + 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Sort 0, 2, g in descending order.\nAnswer: 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 4*p + 0*p)*(6 + 3 - 3)*(15*p**2 + 72*p**2 + 18*p**2) to the form z*p**2 + h + i*p + m*p**3 and give m.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2. Let z(q) = 4*q**2 + q + 1. Let x be z(-1). Let l(u) = 2*u**2 + 4*u**2 - x*u**2. Determine j(l(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27520, -27657, -27796, -27937, -28080, -28225?\nAnswer: -28372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 14*d**2 + 10*d + 47. What is t(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 76 = 4*p. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -6752923, 1\/4 in descending order.\nAnswer: 1\/4, -0.1, -6752923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 2 + 1\/2*h**2 + 0*h. Let l(u) = -u**2 - 3*u. What is l(y(a))?\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y + 3. Suppose 2*a - 5 - 1 = 0. Let z(r) = 2*r + 1. Determine a*j(i) - 7*z(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -21*t + 16. Let m(b) = -629*b + 476. Let j(g) = -4*m(g) + 119*u(g). Let l(z) = 24*z. What is l(j(y))?\nAnswer: 408*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-49))\/((-8)\/(-28)*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 1.82. Let l = x + 15.08. Let n = l + -14.99999915. What is n rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -30. Find the common denominator of -53\/2 and (-1)\/3 - h\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwvwwwwwww. What is prob of sequence vw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52314095 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 16*j - 2. Let u be z(-8). Let i(a) = -8*a - 6. Let f be i(u). Suppose 4*g = -y + 1, -3*g - 1 - 2 = 0. Solve -5*p + y = f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 42, -0.2191?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 10*o**2 - 10*o + 1. What are the prime factors of g(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 25719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 9*w + 0*w**3 - 9\/2*w**2 - 1\/10*w**5 + 0*w**4 + 0. What is the first derivative of z(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46 + 46 + 17*k)*(-11*k + 19*k - 13*k + 5) to the form y*k + i*k**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(5) - (sqrt(180) + 1)) + 0) - ((sqrt(1080) + 1*sqrt(1080) + sqrt(1080))\/(-1*-1*sqrt(6)))**2.\nAnswer: -1621 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - 240?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1651162.1 days to weeks.\nAnswer: 235880.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbtbxxxbixknxbbt. What is prob of sequence bn?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840987711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 4115?\nAnswer: -4114.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -41*a**2. Let b = 54 - 54. Suppose -9*t + 88 + 20 = b. Let s(n) = -6*n + t*n - 6*n - n**2. Determine s(v(j)).\nAnswer: -1681*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 21.00081. What is f rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*i**4*q**3 - 11613*i**4*q - 9948*i*q**3 - 2*i*q**2 - 3*i*q + 4*i + 2*q**3 wrt i?\nAnswer: 576*i**2*q**3 - 139356*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + 0.27. Let k = 6 + -4. Let f be k\/(-20)*(2 + -6). Sort -2\/11, b, f.\nAnswer: -2\/11, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*j**2 - 2*j + 2542 wrt j.\nAnswer: -66*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04 and -3425558909040.\nAnswer: -3425558909039.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -30605?\nAnswer: -30565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51604100 divided by -10320820.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k + 9. Determine z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -22358*u + 222974. Calculate t(10).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o**2 - 5*o - 10. Let c(p) = -5*p**2 - 10*p - 20. Let i be (21\/(-6))\/((-3)\/6). Let h(q) = i*d(q) - 4*c(q). List the prime factors of h(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21505520 divided by -10?\nAnswer: -2150552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11715 and 825.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4714912, -4714918, -4714926, -4714936?\n\"Answer: -m**2 - 3*m - 4714908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4 = x, -43 = 3*s + 5*x - 45 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -631 (base 11) to base 6\nAnswer: -3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(9\/(-33))*(-78)\/(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 - 8*n**2 + 9*n + 1. Let k(b) = -b**3 + b**2 - b - 1. Let i(q) = -4*k(q) - v(q). What is i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 2*x - 3. Let o(a) = 7*a**2 + 4*a - 7. Let s(n) = 4*o(n) - 9*t(n). What is the units digit of s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158422 is divided by 26403.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/98797101 and 17\/1677?\nAnswer: 98797101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28407931?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29722 = -2*p - 29904. Sort 1, 0, 22, p.\nAnswer: p, 0, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30755\/9 + 3417. Sort -2, w, 5, -0.4, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, w, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:39 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292942 or -292941?\nAnswer: -292942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -796555*c**2. Let k(n) = 24*n**2. What is v(k(z))?\nAnswer: -458815680*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (74\/(-6))\/(1\/(-3)) is divided by (-2)\/(-17) - 15544\/(-1972).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.44 (b) -0.01 (c) 136 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3207, -4088, -4963, -5832, -6695?\nAnswer: -7552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918110 divided by 918110.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 690626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 307.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13523\/5 - -54211\/20. What is the common denominator of s and 75\/26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*o - 167*o = -50. Calculate the least common multiple of 25 and o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481742 divided by -14.\nAnswer: 240871\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + (-2 + sqrt(13))*2 + (sqrt(468)*-1 + 5)**2)*-2.\nAnswer: -994 + 116*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 1211*b**2 - 274*b**2)*((2 - 6 - 3)*(0*b**2 + 3*b**2 - 2*b**2) + 0*b**2 - 3*b**2 + 5*b**2) as v*b**4 + k*b**2 + t + f*b**3 + g*b and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1450.33 - -82.1145\nAnswer: -1368.2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358375033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let b(g) = g - 31. Determine b(o(c)).\nAnswer: 5*c - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.82? (a) -1 (b) 29 (c) -217\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52280402 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: Find the common denominator of 113\/3502050 and -71\/65624.\nAnswer: 182106600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5)\/(5\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*d - d = -37, -153*l + 305*l - 157*l + 2*d + 41 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3036\/(-2070))\/(4\/30*(-24)\/8).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*x - 4*g, 7*x + 3*g = 2*x + 16. Suppose 10 = x*s + 24. Let v = 1 - s. Calculate the remainder when 23 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 3\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302219486 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 57. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 29 + 16 + 13 + 14*y**2 as o*y**2 + p + r*y and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10.55. Let w = -0.53 - g. Let k = 215 - 427\/2. Sort k, w, 1\/7 in descending order.\nAnswer: k, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4157644.\nAnswer: 2, 239, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose 2*a = -0*l + w*l - 65, 0 = 4*l + 5*a - 19. What is the remainder when 20 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 65*k - 143. Let y be p(43). Suppose 0 = -20*i + 123 - y. Which is greater: 2\/17 or i?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 3*v + 8*v - 5 + v. What is the tens digit of h(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8451627?\nAnswer: 3, 71, 39679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 1*sqrt(832))*-1 + -3 + -1)**2.\nAnswer: 128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 37. Suppose 58 = 5*z + 2*d, 4*z = -4*d + 28 + r. Differentiate 4*j**3 + 4*j - 4*j - z + 7*j**3 wrt j.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.74983 * -4\nAnswer: 106.99932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 1. Let j be m(3). Suppose -p = p - 40. Let f be (j\/170)\/(4\/p). What is the smallest value in -0.3, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886002 take away -0.5?\nAnswer: 2886002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**2 + 40*b - 12*b**3 + 24 - 2*b**4 + 16*b**2 - 4*b**2 = 0. Calculate b.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*c + 24, 8*z - 3*z + c + 21 = 0. Let w be z + (3 - 80\/(-12)). Which is smaller: 5 or w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 + -9 + 60\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 75*l**2 + 399*l + 1566. Determine s(-32).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:54 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16725, -33468, -50215, -66966?\n\"Answer: -2*g**2 - 16737*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-1268)\/(-16)*-6. Let r be (-60)\/(-100) - v\/15. What is the greatest common factor of 608 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2739*p**3 - 14955*p**3 + 52472*p + 52471*p - 104943*p.\nAnswer: -12216*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3 - 10*y**2 + 0 + 8 + 11*y. Let l(w) be the first derivative of -w**3\/3 + w**2\/2 + w - 52860. What is -6*h(f) + 66*l(f)?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**6\/12 - a**5\/12 - 5*a**4\/24 + a**3\/6 + a**2 + a. Let l(n) be the first derivative of m(n). Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39343358.0000085 - 39343395. Let x = k - -37. Round x to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 141. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - 5. Let b = m - -38. Suppose 145 = 56*g + 107*g - 181. Solve 0 = 2*s + g - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1022565 + q**2 - 1022565. Let c(x) be the second derivative of -x**6\/72 + x**3\/3 + x. Let s(u) be the second derivative of c(u). What is s(t(r))?\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -454. Let f = -454.998763 - i. Round f to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6813.71 plus 0.211?\nAnswer: 6813.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*g**2*v**3 - 2*g**2*v - 5*g**2 - 2*g wrt v.\nAnswer: -108*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 - (5 + -1)) + 2289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in years?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h + 20 = 0. Let b(q) = -q**2 + 3*q - 6. Let j be b(6). Let x = -21 - j. Solve 3*s + y = -x + h, -3*y = 2*s - 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2 + 4)*(-194234 - 818*v + 194234)*(0 + 0 - 2)*(-v**4 - 4 + 4).\nAnswer: -26176*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*o**3 - 3072*o**2 + 2265*o + 36 = 0.\nAnswer: -4\/257, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36433?\nAnswer: 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -32. Let f(x) = -182*x + 50*x + 133*x. Determine 2*f(h) + n(h).\nAnswer: 2*h - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1201221121332?\nAnswer: -1201221121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35724704*s**2 - 21332524*s wrt s.\nAnswer: -71449408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 7*g**4 + g**2 + 0*g**4 - 1 + 126*g - 200*g + 2*g**3 + 72*g to l + n*g**2 + o*g + h*g**3 + s*g**4 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -521300 to the nearest 10000.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2)**2*-2 + (sqrt(49)\/sqrt(7))**2*5 + (sqrt(63)\/sqrt(9) + -4 - sqrt(7)*3*-2).\nAnswer: -sqrt(7) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -469, -921, -1353, -1765?\n\"Answer: 10*w**2 - 482*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + 0.01. Let i = -0.12 + o. Let p = 1 + -1.2. Which is the closest to 1\/4? (a) i (b) p (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 1 - (15 - -8 - (7 + 5)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11934 (b) 1\/5 (c) -11 (d) 2\/3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 + 2*k - 2*k)*(-386*k - 32*k - 21*k - 119*k).\nAnswer: -2232*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 32*n - 14. Calculate v(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 145. Let u(b) = b**2 - 3*b - 57. Let w be u(y). What is the greatest common factor of 31 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:56 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (0 + sqrt(19)))**2 + 4)*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*v**3 - 98*v**3 - 121*v**3.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*g - 2 = 6, 4*a + 5*g = 25. Let b(d) be the third derivative of d**6\/120 - d**5\/6 - 7*d**3\/6 + 22*d**2. Determine b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -33 + 2*l + 6 + 2*l - 3*l - l**2. Calculate b(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*x = 41*x + 21466 - 2542 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25300 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 10) + -36 + 39. Let y(k) = -k**2 + 18*k - 29. Let i be y(16). Put 0, -2, g, i in descending order.\nAnswer: i, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416140 rounded to the nearest one thousand?\nAnswer: -416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.49 - -41.5. Let z = h - 2. Let k = 77337 - 77336. Which is the closest to k? (a) -2 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-144)*-6*(-15)\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*d - 9. Let i(k) = 1. Let m(f) = -f**2 + 7*f - 1. Let w(r) = d*i(r) - m(r). Let t be w(7). Solve 5*j + n + 17 = 1, t = -j + 3*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 times 17\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -138 divided by -2801\nAnswer: 138\/2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n**2 + 2509227 + 4*n**4 - 2509227 + 185*n + (-5*n + n + 2*n)*(-2 - 2*n**3 + 2).\nAnswer: 8*n**4 + 8*n**2 + 185*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 43 + 43 - 8*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -16*r**3 + 4. Let s = 13249 + -13248. Let n(k) = 1. Give s*g(p) - 3*n(p).\nAnswer: -16*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**3 + 6*r**2 - 4*r - 7. Let q(z) = -6*z**3 - 7*z**2 + 5*z + 8. Let f(o) = -6*q(o) - 7*x(o). Give f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 14*r + 26. What is y(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 5*p**2 - 5*p**2)*(-p**2 - p**2 + 0*p**2) + 3*p - 5*p + 0*p**4 - p**4 + 2*p**4 - 1 + 1.\nAnswer: -7*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l. Let o(f) be the third derivative of 0*f**3 + 0 + 137*f**2 + 7\/12*f**4 + 0*f. What is r(o(d))?\nAnswer: 84*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -113065*h**3 + h**2 + 2*h + 1. Is u(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k**(-1\/3))\/k)**(5\/3))**(-20) assuming k is positive.\nAnswer: k**(-500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21665 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*m + 2556 = 93*m - 5004 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-13 - (-7 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 84528.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let s(c) = c**2 + c - 4. Determine 2*k(n) + s(n).\nAnswer: -n**2 + n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2 - t - 1. Let w be j(-1). Suppose b + w = -16. Let u be (-2)\/(-3) + (-8)\/b. What is the closest to u in 4\/9, 2\/11, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 1:36 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 999, 997, 995, 993?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2932 = 4*d - 3*c, -6*c = d - c - 710. What are the prime factors of ((-1)\/(-2))\/((-5105)\/d - -7)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*b - 6*b + 660, -423 = -2*q + 3*b. Let o be (q\/45)\/((-2)\/(-10)). Calculate the highest common factor of o and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*n + 299*n - 359*n**2 + 3*n**3 + 359*n**2 + 263*n.\nAnswer: 3*n**3 + 868*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m. Calculate v(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*u + 10279513 = 126*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88706, 177294, 265750, 354068, 442242, 530266?\nAnswer: 618134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o + 1 + 2 - 4 - 12. Let v(n) = -n + 3. Give -2*s(m) - 9*v(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-26) - 24\/(-66).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -418 - -416. Let x be (15\/5 - (-10)\/(-2))\/b. Which is greater: -5\/27 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68176145.\nAnswer: 5, 2833, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17476 is divided by 119?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24\/7 + 72\/7*n**3 - 148\/7*n + 164\/7*n**2 = 0.\nAnswer: -3, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1 - (-2 - 2). Let m = 11\/18 + 1\/18. Is m smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -1 + -16 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1872) + (-1 + sqrt(1872))**2*6 - sqrt(1872)) + 5).\nAnswer: -864*sqrt(13) + 67458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 580.76 to the nearest integer.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 10*s**2 - 24*s + 14. Let w be m(-12). Suppose 0*l = -3*l - 15, 2*l - w = 3*a. Let b = a + 35. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or -23\/1431?\nAnswer: -23\/1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 69 (c) 2 (d) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 17. Let u be (2\/y)\/(7\/(-84)). Solve 0 = u*w + 21 - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x - 32. Let s be b(22). Suppose n - s = 145. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9157897020860473\/38562 - -237485011671. Let t = -2\/19281 + z. What is the common denominator of t and 31\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*s**2*v**2 - 10*s**2 - 3*v wrt v?\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*o - 39*j - 36*j + 78*j, 4*o - 20 = 5*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 36 = -56*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 g when three letters picked without replacement from taatgttgttk?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, -1, -100, -1.5, 2\/7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 3. Give w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0596 times -2\nAnswer: 0.1192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 247669379 a multiple of 5593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001787178977 rounded to six decimal places?\nAnswer: 0.001787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3272*i**2 + 5 + 2*i - 4*i + 2*i.\nAnswer: 3272*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j**2 + 6*j**2 - 17*j**2 + 3*j**2.\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3079 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92207.43ml in litres?\nAnswer: 92.20743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244.8009216 - -0.0580784. Let o = 245 - j. Round o to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 at least as big as 0.284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0)\/(-3) + 4. Suppose -2*l - j = 16, 0*l = l - d*j - 10. Let q be l\/(-24) - (-309)\/12. Is 27 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 116?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 39*x = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - 0.5. Let l = 20.749 - 16.749. Which is the third biggest value? (a) -0.5 (b) l (c) v (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 5*c + 38, 0 = 3*j + 5066*c - 5064*c - 38 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 + 13*k**2 - 2*k**4 - 5*k**3 + 383 - 382 in the form s*k**3 + r + c*k + x*k**2 + h*k**4 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2049?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -14)\/(5\/(25\/(-5))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 9*v + 318*l - 324*l = -396, l = 4*v - 244 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 + 2*x - 93. Let f be r(0). Let a = f + 97. Solve -2*s - 4 = 0, -5*d - a*s + s = 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*d + 12 = 5*i, -2*i - d + 9 = 0. What is the nearest to -0.1 in 4\/7, -4\/9, i?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 17517 - 17283 = 0. Let j = -33 + 35. Suppose g = 17*d - j*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/200 + (-31)\/5. Is -824*(-3)\/(-2)*o - 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 4 + p + 18*p**2 + 4 - 1. Let q = 18 - 17. What is the remainder when b(q) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 1\/((-2)\/(-2))*1. Let q be ((-6)\/14)\/(d\/6). What is the third biggest value in 0.5, q, -2\/19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1476 + -1473. Suppose 12 = 5*y + 4*r, -3 = 5*y - 3*r + 2*r. Factor 1 + y*d**2 - 1\/2*d**c + 3\/2*d.\nAnswer: -(d - 2)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/13 - 118*s**2\/13 - 4768*s\/13 - 29568\/13 = 0?\nAnswer: -21, -8, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*a - 522, -210 = -a - 2*i + 60. Suppose -9*h + a = -6*h. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(2\/13)\/z*z*z)*z*z))**(2\/9)*(z*z**21\/z)**(-16\/7))**(-20\/7) assuming z is positive.\nAnswer: z**(112760\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -12, -11, -10?\n\"Answer: u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 4, s: 6}. What is prob of picking 1 s and 1 r?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3978018 + 29*f**4 - f + 2*f**3 + 3978019 + 0*f**3 - 3*f**2 as n + t*f + g*f**3 + p*f**4 + x*f**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - c. Let z be (3 - 0)\/((-9)\/12). Is 20 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4355 and -0.26.\nAnswer: 4354.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {o: 1, x: 2, r: 14}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(95)*1*1 + sqrt(95) + sqrt(95))*2)\/((sqrt(10) - 2*sqrt(360))\/((sqrt(96)\/sqrt(4))\/sqrt(12))).\nAnswer: -36*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a41 + 0?\nAnswer: 1a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3151764 and 4752?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 3*q + 3. Let n(g) = -7*g**2 - 5*g + 5. Suppose -5*l = -3*k + 18, 19 = -4*l - k + 8*k. Calculate l*n(o) + 5*p(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16906970*h**4 - 13050879 with respect to h.\nAnswer: 67627880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s**4 - 14*s**2 - 17*s**2 + 4 + 29*s**2 to the form v + k*s**3 + r*s + w*s**4 + t*s**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Suppose -y = -d - 1. Suppose -3*r + 7*r - 5*w = 60, -y*w + 60 = 4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4876 = 4*v + 1544. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b - 88*b - 285 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o**2 - 137*o**2 - 165*o**2)*(o**2 + 4*o**2 - 3*o**2).\nAnswer: -552*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - 2 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2877*j - 350. List the prime factors of c(-1).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -317508, -635033, -952558, -1270083, -1587608, -1905133?\n\"Answer: -317525*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -2\/15*q**3 + 0 - 7*q**2 + 0*q - 1\/150*q**5 + 1\/20*q**4. Factor z(k).\nAnswer: -2*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20392442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose -u - 2 = -0, 122 = d*z + 5*u. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3 + 1\/3*b**2 + 7\/3*b.\nAnswer: (b + 2)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 6) in base 11?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 622209 * -4\nAnswer: -2488836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31695777*m**4 + 250*m**2 - 71750.\nAnswer: 760698648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13759 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 24 = -96. Suppose -3*q = -2*a + c, -3*a + 37 = 3*q + q. Let d = 24 - a. Calculate the remainder when 33 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h - 3 = 0. Let y be -5*(22\/10 + h). Suppose -x + y + 5 = 0. Let r(k) = -7*k - 13. Let f(m) = 3*m + 6. Give x*f(i) + 4*r(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 6759*a**2 + 40 + 28 - 99)*(-2*a**3 - 2*a**2 + 2*a**2).\nAnswer: -13518*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*w + 75 = 2*b, b + 3*w + 29 = 0. Let q = b + 37. What is the remainder when 2\/5 + 206\/10 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50, 103, 156, 209, 262, 315?\n\"Answer: 53*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2 + n**2 + 0*n - 5*n + 2. Let m = 48 + -42. Let p be i(m). Calculate the highest common factor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/631 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*a**4 - a**2*n + 76*a*n - 3*n + 135 wrt a.\nAnswer: 24*a**3 - 2*a*n + 76*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 585112*b - 1170232.\nAnswer: 2*(b - 292558)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**4 + d**2 + d + 1. Let g(o) = -3994*o**4 + 367*o**2 + 7*o + 6. Let w(q) = g(q) - 5*l(q). What is the third derivative of w(n) wrt n?\nAnswer: -95736*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195*f**4 - 159*f**4 + 170*f**2 + 180*f**2 + 357*f**4 wrt f?\nAnswer: 9432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23471.79 rounded to the nearest 10?\nAnswer: 23470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l + 1. Let g(d) = 5*d. Let o(f) = -2*f - 3*f - 5*f - 9*f + 5*f. Let s(z) = -11*g(z) - 4*o(z). Give c(s(x)).\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/12)\/((-2)\/889). Suppose 5*b + 19 = j + 392, 6 = -2*j. Let r = b + v. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -254 + 67 + 114 - 2*g**2 + 130 in the form t*g + z + a*g**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 3*j + 22 = -15*p, 0 = p + 3*j - 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73.8869 - -78.87. Let w = j + 0.0169. Let t = 0 + -0.5. Which is the biggest value? (a) w (b) t (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 2*m = 46, -9*m - 34 = 4*i - 12*m for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*4\/(-6) - 2. Solve l = f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b + 27 = -3*h, 4*b = 5*h + 32. Suppose 3*x + 23 = 176. What is the greatest common divisor of b and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 3*u**3 - 19*u**2 - 11 - 16 - u**3 to the form j*u + s*u**3 + c*u**2 + z and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (13 - (-6 + 21 + -33))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.01 + -3.41. Let x = 1\/16 + 23\/144. Which is the smallest value? (a) x (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a218c (base 13) to base 7.\nAnswer: -14635533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19432 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 7*l - 64. List the prime factors of a(-20).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002184285 rounded to six dps?\nAnswer: -0.002184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -34*b**3 - 1795*b**2 + 373*b + 115. What is k(-53)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-30) + (-12)\/(-90). Let v be k + 3*8\/2. Suppose 9*z + 188 = v*z. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-3 - 17\/2). Suppose c = 4*q - 99, q - c - r = 4. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -27. Let j = i + 14. Let k = 9473 + -9481. Put -3\/4, j, k in increasing order.\nAnswer: k, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1576*p**3 - 1476*p**3 + 13*p**2 + 12*p**2 + 3056*p**3 - p**2.\nAnswer: 4*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from yqqgqkqqqyyq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/3)\/((v*(v\/((v\/(v*v**1))\/v)*v*v)\/v)\/v))**33\/((v**(-7\/4)*(v\/v**0*v*v)\/v)\/(v**(2\/3)\/(v*v\/v**(7\/2)))) assuming v is positive.\nAnswer: v**(-901\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7*h = 8*h - 32. Solve h*u + 356 = 348 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13200310 + 3?\nAnswer: -13200301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*f + 8, 4*f - 3*j - 2*j - 6 = 0. Suppose -2*x + 816 + 511 = -r, f*r - 1996 = -3*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from pqqgkqqdgqgq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 346 + 4?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 3*b + 50. Let y(t) = -t**2 + 10*t - 7. What is the remainder when d(0) is divided by y(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from fcyzuzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136\/465 - -10\/93. Put n, -118, 4 in decreasing order.\nAnswer: 4, n, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:55 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 - -89. Let a = -384 + f. Solve 8*d + a = 29 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461275673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*v + 2*x - 3*x, 5*v = -3*x + 36. Let q be 2\/(-4)*(-49 + v). Suppose 2*n + q - 8 = 0. Let y(m) = m + 10. Calculate y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20690797, -20690765, -20690725, -20690671, -20690597, -20690497?\nAnswer: -20690365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -11133111013?\nAnswer: -11133111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 329*p**3\/6 - 685*p**2\/2 + 174*p + 1. Differentiate z(l) wrt l.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122419 at least as big as -122342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(40\/1))\/((-4)\/16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.4, -0.3, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -278 - -278. Solve z = 20*o - 11 - 89 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7486.29 * 0.4.\nAnswer: 2994.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37810 - 37810.0000031017. What is i rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:26 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/2 - f**3\/6 - f**2\/2 - 3*f. Let q be n(-1). What is the first derivative of -9*z**3 + 7 - q*z**3 + 0*z**3 + 16 wrt z?\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18588997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321577936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - 3*h**3 + h**3 + (0 - 2*h + 0)*(0*h**2 - h**2 + 2*h**2) + (561*h - 3360*h**2 - 560*h + 3363*h**2 - 1627)*(-2*h - h + h).\nAnswer: -10*h**3 - 2*h**2 + 3254*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*n = 70, 4*m + 4*n + 147 = 419. Suppose -2*z - 25 = -m. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161337 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from qqqtttttttqttt?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from xxirrixirrirxri?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -227 + -2052c?\nAnswer: -20756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8859.197mg in tonnes?\nAnswer: 0.000008859197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000358514 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-6 + (-3 - -10))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314105 is divided by 13087.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -6, -6\/7, -173, -4\/9 in decreasing order.\nAnswer: -4\/9, -0.5, -6\/7, -6, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 24 = -2*y, -2*x = -y + 8 + 6. Suppose 5*n + 0*n = -y, -3*n + 44 = 2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 7*y + 43 = 196 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(81) + (sqrt(252)\/sqrt(4))\/sqrt(7))\/((sqrt(30)\/((sqrt(2) - (sqrt(18) + sqrt(2))) + sqrt(2)))\/(2*sqrt(5)*2)).\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 1, 2, 2\/25515, -5, -3, 4 in ascending order.\nAnswer: -5, -3, -1\/7, 2\/25515, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 4, -4 in ascending order.\nAnswer: -49, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. What is the third biggest value in -4, 0.5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 plus 32?\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-212)\/26 + 2\/13. Let r(a) = -a**3 - 3*a**2 - 4. Let o(q) be the first derivative of 3*q**4\/4 + 8*q**3\/3 + 11*q + 549. Calculate k*r(m) - 3*o(m).\nAnswer: -m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 9*p - 4. Let g(j) = j**2 + 5*j + 2. Let n(s) = 3*c(s) + 5*g(s). Let o(f) = 4*f**2 + 11*f + 11. Determine -11*n(d) - 2*o(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*u + 109*u - 18. Suppose 0 = -2*f + u*f - 8. Do f and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 2*h**2 + 10*h + 19. Let i be m(-3). Suppose -5*v + 73 = 3*w - i, v = 2*w + 11. Calculate the remainder when 110 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) 2 (d) 6 (e) 90 (f) 1\/2 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*k + 44*y - 523 = 474*k, -3*k - 2*y + 9 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 1 + (72 + 6 - 81)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Let s be 0\/(-2 + 1) + 5. Suppose -19 = -4*p - 4*f + 5, -s*p + 9 = -2*f. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldlddllll. What is prob of sequence dlll?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149.7 and 20.\nAnswer: -2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*23608.47\nAnswer: 4721.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -31 + 1. Suppose -3*d - 2*t + p = -0, -2*d - 5*t = -9. What is the remainder when 69 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12 - (-451)\/164) + 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.105 - 0.204. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 37*t = 33*t - 308, -2*w = -5*t - 113. Calculate the remainder when 123 is divided by w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b + 55. Let g be o(-9). Solve 0*n + 18 = 2*n + 2*c, 2*c = g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3397697, -3397686, -3397661, -3397616, -3397545, -3397442, -3397301?\nAnswer: -3397116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:33 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + 478. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2021407187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 64. Let l = 30 - o. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*x**2 - 15*x**2 - 4*x + 2*x + 3*x + 15 - 15*x**2 to the form w*x + u*x**2 + t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose 9*x - x = 32. Let c be (-3)\/(0 + 6\/x). Sort c, 3, g in descending order.\nAnswer: 3, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11801263?\nAnswer: 11801263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*y**2 - 3604688*y + 10380672 = 0 for y.\nAnswer: 72\/25, 36044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 + 1344*q**4 - 96992*q**3 + 1033656*q**2 - 3726684*q + 4388040 = 0. Calculate q.\nAnswer: 3, 6, 85, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/18 - 1400\/(-63) is divided by -1 - (3\/(-2) - (-150)\/(-12)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26138108 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 0*z - 92515*z**3 + 6 + 92572*z**3 + 2*z**2 to the form y*z**3 + v*z + p*z**2 + x and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 26 = -2. Let g = 5 - a. Let z = -4 - g. Put z, -1, 3 in increasing order.\nAnswer: z, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/24 and -89\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r + 9. Suppose 4*f - 14 = -2*l, r*f = 4*f + 4*l - 16. Factor 5*d**2 - 5*d + 9 + 3*d**3 + f*d**3 - 9 - 5*d**4.\nAnswer: -5*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -11*t**6\/180 - 4*t**3\/3 + 23*t**2. Let p(a) be the first derivative of d(a). Let q(v) = 2*v**2. What is q(p(j))?\nAnswer: 968*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*(k*k\/((k*k*(k**(1\/3)*k)\/k*k*k*k)\/k))\/k)*k))**8*(k**4\/k)**(2\/67) assuming k is positive.\nAnswer: k**(-5342\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 39740800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 49638944?\nAnswer: -49638943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/28 + 66\/(-77).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 + 0 + 8\/3*m + 1\/3*m**3 = 0. Calculate m.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/t**(-10))\/((t**(-1\/4)\/t)\/(t\/(t\/(t**1*t)))) assuming t is positive.\nAnswer: t**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10.05 in -2, -3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 0.5434\nAnswer: 10.5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 6) to base 5.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-732)\/(-24) - -43?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 766*y**2\/7 - 3008*y\/7 + 9096\/7.\nAnswer: -2*(y - 2)*(y + 6)*(y + 379)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*x + 12. Differentiate b**2 + 2 + 7*b + 5 + b**2 + x with respect to b.\nAnswer: 4*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 125, 28, -69, -166?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/(-27) - -2)*195\/(-260). What is the third biggest value in 5, 1.44, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i = 148 - 40. Let v = 1 + 1. Solve i = v*u - 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Let s = 0.0265 - 473.0265. Let w = s - -474. What is the fourth smallest value in 2, a, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51940517 and 9663352.\nAnswer: 415524136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Suppose -2*v - 2*v - l*s + 32 = 0, -2*s = -3*v + 4. Suppose 2*g - 6 = 0, v*c + 0*c + 3*g - 5 = 0. Is 0 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1449*k**2 + 2*k. Let o(t) = 5277254*t**2 + 7285*t. What is -7285*b(a) + 2*o(a)?\nAnswer: -1457*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 + 2*u**2)*(19*u - 11*u + 43*u).\nAnswer: 51*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1680470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -0*c - 2*c, -2*c - 4 = -2*i. Is i\/(2*(-4)\/(-6152)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2 = 5*v - 13, 0 = 3*x - 2*v + 6. Let p(a) = a**3 + 3*a**2 - a - 3. Let b(u) = 5*u**3 + 17*u**2 - 6*u - 16. Let j(l) = -b(l) + 6*p(l). Give j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 25*i + 11. Let c(m) be the first derivative of -m**4\/4 + m**3\/3 + m**2\/2 + 6*m - 1. Let p be c(0). Is t(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * -8739\nAnswer: 2272.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1012)\/(-110) - (-5)\/(75\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - a + 1. Let m(p) = 14*p**2 + 35*p - 35. Let j(r) = m(r) + 35*n(r). Let k(g) be the first derivative of -g**2 + 2. Give k(j(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohff. Give prob of picking 1 h and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (142*v**2 - 117*v**2 - 86*v**2 - 1)*(-2*v + 3*v + v) in the form x*v + p*v**3 + k + h*v**2 and give p.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 0, 4*w + 6 = 5*s + 2. Suppose 2*i - i - 8 = 3*y, i + 2*y - 3 = s. Let k = 18.88 + -14.88. Is k bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*d**3*u**5 - 50*d**3*u**4 - 52*d**3*u - d**2*u wrt u?\nAnswer: -200*d**3*u**3 - 600*d**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13283\/8660 - -7\/433. Find the common denominator of 3\/20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8957615665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530649.\nAnswer: 3, 7, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c - m + 447 = 0, 0 = -m - 1. Suppose 8*z - c = 4*z. Let a be (-3)\/(-15) - z\/(-40). Solve 0 = a*h + 1 - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/16 (b) -22 (c) 0.5 (d) -3\/8 (e) -1\/7 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3901*b + 3898*b + 12 = 0, -2*c + 2*b = -4. Solve -i = -5*u - 97 + 112, -2*u + c = -2*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let w = 0 + p. Let t(q) = -q**2 - 2*q. Determine t(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + sqrt(288) + -6*(sqrt(288) - 2*sqrt(288)))*6 - (-2 + 2*sqrt(288) + 0))**2.\nAnswer: 2208*sqrt(2) + 609412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 374898\/5 - 74980. Let y(p) = p + 1. Let k be y(-4). What is the nearest to k in n, -0.03, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - 3 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -3. Suppose -5*x = -2*x + u. Let z(j) = -j**2 - 5*j + 1. Let o be z(-4). Sort o, x, 0 in descending order.\nAnswer: o, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Let u be 0\/(k + -1)*-1. Suppose b - 6 - 10 = u. What is the lowest common multiple of b and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/5 + 184*h**3\/5 + 4044*h**2\/5 - 8648*h\/5 + 4418\/5.\nAnswer: 2*(h - 1)**2*(h + 47)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 680, 5464, 18446, 43724, 85396, 147560?\n\"Answer: 683*c**3 + c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -33. Let o be 4 + j + -4 + 20. Calculate the greatest common divisor of o and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -207742 - -1827762. Suppose -324025 = -t - 4*o - o, -d = -5*t - 4*o. Let g be (-5 - 20\/(-8))*t. What is g rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 80 = -6*q + 5*o, -4*q - 2*o = -70. Does 22 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 21. What is n(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*w**3 + 3*w**2 - 10131*w - 1475315.\nAnswer: 9*w**2 + 6*w - 10131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -17*y + 7*y. Suppose y*j - 33 = -4*i + 3*i, i = 5*j - 12. Let w = 26 + i. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(-12)\/5. Solve 21 = -5*s + w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/1 - 1) + 10. Let x = -0.2793 - -0.0793. What is the closest to m in x, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4 + (-13 - (1 - 26))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*w = -163, 0*w - 10 = 5*w. Let c = q - -55. Suppose -c*r + 3*z + 472015 = 0, 4*r - 423354 = -2*z + 48636. What is r rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*m**4 + 666099*m - 34411976 wrt m?\nAnswer: 96*m**3 + 666099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983897.\nAnswer: 509, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/18879 and 23\/980.\nAnswer: 2643060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 1656.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 7*y. Is y smaller than -2\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58277.3 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52669 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 4*j**2 - 4*j - 3. Let m = 29 - 31. Let r be i(m). Let c(x) = 43*x**2 + 3*x + 1. Is c(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7101, -14227, -21355, -28485, -35617, -42751?\nAnswer: -49887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7874 - 11720. Let s = -1498 - w. Suppose h + 5*x = 636, 4*x - s = -5*h + 727. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276688 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11*o**2 - 7 - o)*(0*o - o + 3*o)*(4 - 1 + 1).\nAnswer: -88*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930 less than -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)\/(i\/(i*i**(3\/5))*i) assuming i is positive.\nAnswer: i**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 4 in descending order.\nAnswer: 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955830367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -1.055.\nAnswer: 3.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 12*v + 14 + 13*v**2 - 11*v**2 - 8. Let n(t) = -t**2 - 6*t - 3. Calculate -13*n(r) - 6*z(r).\nAnswer: r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*r - 8 = 0, i + 20*r - 24*r = -12. Solve -5*t + 9*n - i*n + 25 = 0, 15 = -5*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17346 + -3?\nAnswer: 17343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -85, -156, -247?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110111000 (base 2) in base 12?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -999 + 996. Let p = 0.3 - 0.2. Let b = p - -0.5. What is the second smallest value in -2\/7, f, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*l - 176*l - 181*l + 526*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 37 = j - 59, -2*w + 20 = -10*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/96*9*3\/90*(-25)\/(-30).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -104*h - 140 - 6, n = 2*h + 3*h - 1 - 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -6*i + 3*i - 6, -3*c = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**4 + 50931*j**3 - 68*j**2 - 339046184?\nAnswer: 8*j**3 + 152793*j**2 - 136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-20 - (-21 - (-10 + 1)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -1\/132*g**4 - 1\/1848*g**8 + 0*g + 0*g**3 + 1\/330*g**6 + 0*g**7 + 4*g**2 + 0*g**5 + 0. Suppose w(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3650.00039 rounded to the nearest ten?\nAnswer: -3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-602)\/(-12040) - ((-81)\/(-20))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -7 - (-4 - (10 + -33 + -8)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c2 (base 15) to base 6.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 j when four letters picked without replacement from jjjjjjjljjjjjjjjjj.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1730370 (base 11) to base 16.\nAnswer: 2ce931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001111111110101100 (base 2) in base 16?\nAnswer: 18ffac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8082 divide 1419538644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/28 - -37\/84. What is the smallest value in -3, -0.42, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/129, 16\/899, -0.5?\nAnswer: 16\/899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, and 1 g when three letters picked without replacement from aagbaaajggaagjbbbj?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -22010020000?\nAnswer: 22010012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -49*n**5\/480 - n**4\/192 + 16*n**2 + 6*n. Factor u(r).\nAnswer: -r*(49*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22734365*j**4 - 2*j*v - 24464857*v wrt j.\nAnswer: 90937460*j**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/((w\/(w*w**(3\/5)\/w)*w)\/w))\/w)**(-10\/3))**(-15) assuming w is positive.\nAnswer: w**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 516.64 times 978\nAnswer: 505273.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-4 + 7) - (-24 + 21 - 2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose 2*w - 20 = 5*t, d = 3*t + 3*w - 0*w + 12. Sort t, 5, 0.\nAnswer: t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, -84, -202, -356, -540, -748, -974?\n\"Answer: d**3 - 27*d**2 - 2*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 2, p: 2, i: 4}. Give prob of picking 1 i and 1 b.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2955 and 255.\nAnswer: 50235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 304 - -353.1.\nAnswer: 657.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -118*f - 637. Determine m(-9).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*16*1*17664\/33120*(-45)\/(-4)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/90*(-26)\/455.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113671\/24 - -4735. Let o = -19020092285 - -1743762061214477\/91680. Let a = -3\/6112 + o. Calculate the common denominator of a and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6642 = 52*j + 115*j - 2779 - 98 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1916 (base 10) to base 4.\nAnswer: -131330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*w - 1120*w = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 - 8*d + 15. Let f be g(5). Let l(o) be the second derivative of -5*o + 1\/36*o**3 + 1\/72*o**4 - 1\/6*o**2 + f. Factor l(a).\nAnswer: (a - 1)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*b + 1\/3*b**4 + 0 + 4\/3*b**3 - 19\/3*b**2.\nAnswer: b*(b - 2)*(b - 1)*(b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.072.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6953 divide 1319693306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.8063*-0.4.\nAnswer: 2.32252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4376 or -4374?\nAnswer: -4376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/21 and -11\/108303?\nAnswer: 758121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (-5 - (-6 + 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + (2 - 2))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-24))\/(1\/(-21)). Let n(k) = 5*k**2 - 7. Let u(p) = 5*p**2 - 6. Calculate q*u(y) - 6*n(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*30\/(-55)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20041 is divided by 6464?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*j - 4140, 0*l = -3*j + 4*l + 2477. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 17. Let u be a(4). Sort -207, u, 0.\nAnswer: -207, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + -1 - (5 + -1 + -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37128\/(-1274))\/(((-12)\/(-36))\/((238\/12)\/(-17)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 127. Let f be z(4). Let i = -2809\/1020 - 163\/51. Calculate the common denominator of (f\/(-74))\/((-6)\/194) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-5)\/(-25)*10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38540, -38539, -38538, -38537?\nAnswer: -38536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234396970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 - -6.5. Let i = 0.0809 - -7.4191. Let x = t - i. Which is the third smallest value? (a) -0.5 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, a: 2}. Give prob of sequence at.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/33 and 13\/157584276.\nAnswer: 1733427036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182565 + -118956. What are the prime factors of s?\nAnswer: 3, 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 217*g = -12213. Calculate the remainder when 963 is divided by g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*o + 43*c*o + o - 2025 wrt c?\nAnswer: 2*c*o + 43*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*t - 96*t**3 - 861*t**2 + 243*t**3 - 66*t + 1728 = 0.\nAnswer: -1, 24\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113629 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - -212. Let v = -618\/7 + q. Let t be 0 + 2\/8*4*3. What is the nearest to v in t, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*h + 560*h - 90 = 285*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 3*x = 11*h, -4*h + 15 = 3*x. Let r(q) = -q**2 + 4*q - 1. Let b be r(3). Sort h, b, -3, -1 in decreasing order.\nAnswer: h, b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3132 + 3166. Let c = -19 + 55. Is j at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -864000*u**2 - 2*u + 10. Suppose 0 = -0*f + f - 42. Let b = -37 + f. Let g be j(b). Round g to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17341 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.9 and 0.04175?\nAnswer: 4.94175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or 0.021?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -304 * -5388923.\nAnswer: 1638232592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*h**3 - 3*a**2*h + 106*a*h**3 - 32*h**2 + 3*h wrt h?\nAnswer: 6*a**2 + 636*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/2 + (-6)\/4. Suppose 3*i - 6*x - 225 = -x, -375 = -5*i + 3*x. Suppose -i - 53 = -s*h. What is the remainder when h is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 12276?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by 55.\nAnswer: -107\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 52.5 times 0.1\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 164 = -h - 34*o, 2*h - 5*o - 32 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1025*t + 2107*t - 1027*t + 32.\nAnswer: 55*t + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/20*3*15. Suppose -5*u + p*u = -24. Is 9\/(-54) + (-361)\/u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 4. Suppose -4*i + 4 = i - 2*g, 3*i - g - 2 = 0. Suppose v + i = -p. Put 4, v, 0 in increasing order.\nAnswer: v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9544, -39292, -89248, -159412, -249784, -360364?\n\"Answer: -10104*v**2 + 564*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.8 times 17?\nAnswer: -4280.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.2 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 4. Let n(f) = f**4 + 6*f**3 + 2*f**2 + 6. Let b(z) = -z**3 - 1. Let u(y) = v*n(y) - 30*b(y). What is the third derivative of u(x) wrt x?\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1120*y**2 - 918 + 1835 - 917 in the form o*y**2 + m*y + l and give o.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -195, 379, 1001, 1671, 2389, 3155, 3969?\n\"Answer: 24*s**2 + 502*s - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/42*21\/14. Sort 0, -0.4, r in decreasing order.\nAnswer: 0, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a microsecond in nanoseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**3 + 10*i + 7. Determine y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = -5*l + 1160, 2*l = 2*p + 446. Suppose 0*v + l = 6*v. What is the remainder when v is divided by (-10)\/(-4)*(-8)\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**2 - 2*d + 1. Let t be y(1). Suppose 2*i + 2*o + t - 24 = 0, -16 = -4*o. Let w = 13 - i. Solve 3*g + w = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*h - 143*h = -80*h - 3717 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 + 51*w**2 + 71*w**2)*(2 - 2*w + 0 + 1) to the form g + c*w**3 + j*w + t*w**2 and give t.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + z = 605, 0 = -4*x + 2*z - 7*z + 484. Let f = x + -96. Solve -5*s - 25 = -2*u, -u - f = 5*s + u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 14*y + 27. Let o(b) = b**2 - b. Let l(a) = 4*o(a) + t(a). Let m be l(-6). Calculate the highest common factor of m and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144726978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/58632713 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0 - 2 - 3*g**2 + 5 + g. Let l(n) = -4*n**2 + n + 4. Let z be ((-390)\/(-104))\/((-7)\/4 + 1). Let k = 21 - 17. What is k*l(m) + z*o(m)?\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = r, -r - 56*y = -58*y. Solve r*w + t + 6 = 0, 3*t = -3*w - 11 + 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -14 + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -5. Let c = j - 22. Let q be c - (-3 - (1 - 3)). What is the highest common divisor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81305 and 945?\nAnswer: 2195235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:43 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-7175))\/(1 + (11\/(-55))\/(1\/7))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 2 a when four letters picked without replacement from {h: 3, e: 7, n: 4, a: 4}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-1)\/(-3))\/(56\/210). Which is the closest to -2\/5? (a) 1 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*o - 177, 4*g + 17*o = 18*o + 743. Let x = 198 - g. What is the remainder when 93 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 4. Let i be w(-3). Suppose -4*t + y - 21 = 0, y + 5 = 5*t + 31. Put i, t, 4 in ascending order.\nAnswer: t, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -1529.\nAnswer: 9\/1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-9)*-1*(-32 + -1). Let u be (b\/(-33))\/(9075002\/(-4537500) + 2). What is u rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, -3, 629 in descending order.\nAnswer: 629, -3, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:15 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 7*w + 3. Let u(b) = -b**2 + 4*b + 1. Let k(h) = -3*c(h) + 5*u(h). Let q be k(0). Let f be q\/(-18) - 4\/18. Solve 0 = -f*x + 4*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -50*w - 2209. Determine p(-44).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 163588*z**2 - 3329863640*z - 625026997200.\nAnswer: -2*(z - 40990)**2*(z + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343930773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-5 - -13) + 0 + -2*3. Solve -4*i - 11*l + p*l = -6, 0 = 4*i + 2*l - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29648 and 82840?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*(0 - -2). Suppose 0 = 2*p - 3*j - 22, 2*p = j + 18 - 4. Let r = b + p. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2)*(17*s - 17*s - s**3 - 2*s**5).\nAnswer: -6*s**5 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(112) - sqrt(112))\/sqrt(8))\/(sqrt(2) + sqrt(242) + 3*sqrt(242)).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/67?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 765, 3 in descending order.\nAnswer: 765, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009093 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - 0.12. What is the second smallest value in 1, -1\/2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 9*j + 0 + 1)*(2*j**3 + 3*j - 3*j) as v*j**4 + x*j**3 + q*j**2 + n*j + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 21 = -3*x - 11, -20 = 3*x + 2*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.67 and -49?\nAnswer: 48.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*g**2*m**3 - 13*g**2*m**2 + g**2 - 840*g*m**3 + m**3 - 1236*m wrt m.\nAnswer: 174*g**2 - 5040*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 700. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3)\/(p\/(p*p*p**(-2\/47)*p*p)) assuming p is positive.\nAnswer: p**(327\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 976 + 186. Suppose -8 = -4*f, -6*j - 5*f = -2*j - n. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1728\/(-28))\/(-8))\/(411\/(-2877))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*s = 25, 70*n + 15 = 74*n - 3*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 104416*g**2 + 417616*g - 417600.\nAnswer: 4*(g - 26100)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 6) to base 15\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2. Let o(j) = -5719*j. Give p(o(r)).\nAnswer: 98120883*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 4*g**2 + 5*g + 17. Let n(y) = -y**2 + y. Let t(l) = -4*n(l) + o(l). Suppose -2*h = -3*x + 8, h = -0*h + x - 5. Does 9 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let f(z) = -z + 0*z + 2*z + z. Let q(m) = -5*m + 2*m + 0*m + m**2. Let i(p) = 3*f(p) + 2*q(p). Calculate i(s(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t**4 - 1047*t + 525*t + 521*t - 2*t**2 + 1 + t**3 to g + n*t**2 + q*t + z*t**4 + b*t**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/11 - 60*o**2\/11 + 6*o + 124\/11 = 0.\nAnswer: -31, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2. Let u(b) be the second derivative of -b**6\/360 + b**3\/3 + 4*b. Let j(z) be the second derivative of u(z). Determine v(j(x)).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -235\/4 + 59. Let r = 52 - 51.7. Which is the fourth biggest value? (a) h (b) 4 (c) 3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3185\/245 - (-62)\/2. What is the highest common factor of 2365 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4880 and 5918464?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 246, -24, 36 in increasing order.\nAnswer: -24, 36, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*w = 24*w - 144 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - 46*r. Let v be x(18). Let j = 233 - v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*i - 1 - 1)*(-9*i**2 + 92*i**2 - 17*i**2).\nAnswer: -264*i**3 - 198*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -c98 (base 15) to base 4\nAnswer: -230123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.4, -3, 1\/501, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 - 1960*m**3 + 7851*m**2 - 9818*m + 3928 = 0. What is m?\nAnswer: -1964, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13120507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(99) - (sqrt(99) + (sqrt(99)*1 + sqrt(99))*-3 + sqrt(99)) - 5*sqrt(99)*1)\/(((sqrt(81) - sqrt(81)*1) + sqrt(81))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, 0.1, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d - 205. Let z be k(19). Solve 0 - 12 = z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, -2, -1\/8, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 6*r - 82. Let v be q(-6). What is the smallest common multiple of 77 and 927\/45 - 4\/v?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/69 + 16\/23. Let q = -0.2 + 0.3. Let i = -0.6 + q. Which is the third smallest value? (a) -1 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*(-1 + sqrt(88)\/sqrt(8))*-4 - ((sqrt(110) + (sqrt(110) - 2*sqrt(110)))*-4)\/(sqrt(640)*1)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + g = -35, 11*c - 15 = 10*c - 2*g. Solve 0 = 2*d + 5*n + c, 4*d - 14*n = -9*n + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from syymtysbmttv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.8115 times 3?\nAnswer: -1226.4345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:34 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 57, -0.051, 2, -129, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 - d**4\/3 - d**3\/3 + 2195*d**2 - 3*d + 1. Let r(u) = 2*u**2 + 9*u + 2. Determine 5*k(q) + 4*r(q).\nAnswer: 3*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54504 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*q + 5 + 2194*q**3 + 32*q - 183*q - 5.\nAnswer: 2194*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**3 + 4*j - 4*j)*(1 + 1 - 6) + 8*j**3 - 8*j**2 + 8*j**2 to the form v*j**2 + h*j**3 + u*j + q and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -12*f + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 654. Let q = 552 - n. Let c = -3 - -8. Sort 1\/2, q, c in increasing order.\nAnswer: 1\/2, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 18*c + 3*p + 21, -4*p = 5*c + 9. What is the closest to 4 in -99, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 20040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - v**2 - v**2)*(4*v - 2*v + 0*v) + (2 + 3 - 4)*(-59*v**3 - 190*v**2 + 190*v**2).\nAnswer: -55*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-26 + (16 - 9 - 4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(180) + 4 + (sqrt(5) + 0 - sqrt(5)).\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/9000 and 103\/9000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b79 - -c7?\nAnswer: -a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - (11 + 8)) + -35?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 1 o when three letters picked without replacement from {y: 3, i: 3, o: 2, a: 1, q: 1, r: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 7. Let x be r(-5). Let h be (12 + -3)*(-2)\/(-6). Find the first derivative of -2 + 0*q**x + 0*q**h + 2*q**3 wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6969.407 decades?\nAnswer: 69.69407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 485, -3, -24, 4 in decreasing order.\nAnswer: 485, 4, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 764, 5\/6?\nAnswer: 764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 12*r. Let l(k) = 11*k. Determine a(l(v)).\nAnswer: 363*v**2 - 132*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 412391 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10350 - -10353. Let o be (-30)\/(-8) - 1\/(-4). Suppose 0 = -r*q + 8*q - 5*n - 20, 5*q - o*n = 16. Solve q = 2*c - 2*y - 8 - 0, 3*c = y + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.8937 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 0.4, 0.3 in descending order.\nAnswer: 94, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 942, -0.5, 116\/3, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/507 + 36395\/11154. Let a = -1707953\/72 + 23722. Find the common denominator of j and a.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13061652 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113396, -226736, -340076, -453416, -566756?\n\"Answer: -113340*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(616) - (sqrt(616) - (sqrt(616) - (sqrt(616) + 2*sqrt(616)))))\/sqrt(11))\/sqrt(2))\/(2*sqrt(36) + sqrt(36) + (-2*sqrt(8))\/sqrt(2)).\nAnswer: -2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 - 0.7. Let i = -6394 - -6390. Let h = 61 + -57. What is the fourth smallest value in h, t, 2\/5, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 728 + -0.38.\nAnswer: 727.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y. Let x(n) = -5*n**2. Give z(x(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.3 at most 0.1219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47509457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + -9.4. Let w = u - -11.9856. What is w rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 34 + 10. Let o(p) = p + 7. Let n be o(k). Let x(w) = -2*w**3 + w**2 + w. Let v be x(n). Solve v*a - 4 = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 279?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, 1.45, -0.3?\nAnswer: 1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/9 in 2, -2, 12\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -1 (c) -3 (d) 51.4 (e) 0.2 (f) -0.0303\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - -7. Let q = -22 + k. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75877040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(297\/11))\/(20\/(-72)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/18 - (-199776)\/(-393309)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:06 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1065.6 and -4.5.\nAnswer: -4795.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 5*w**4 + 3*w + (-w**4 - 2*w**4 + 4*w**4)*(0 + 1 + 0).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/3 (c) -1107 (d) 188 (e) 3 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 + (18 - 5 - 22) - (-1 + 7 + 5)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/13*c**2 - 2296\/13*c + 13448\/13.\nAnswer: 2*(7*c - 82)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5057813427?\nAnswer: 3, 1685937809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 178, -4.4, -694?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5, -2, -1, -32.2 in decreasing order.\nAnswer: 1\/2, -1, -2, -5, -32.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, -44, -77, -134, -221, -344, -509, -722?\n\"Answer: -c**3 - 3*c**2 + c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312037, -1248127, -2808277, -4992487, -7800757?\nAnswer: -11233087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64354 is divided by 2147.\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-20)\/(-550) + (-31)\/(-11). Solve -2*f - 12 = d, -2*f + 0*d = -a*d - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.18 * -0.4.\nAnswer: 0.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 413*q - 413*q + 1 - 4*q**2 as d + x*q**2 + l*q and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o - 808. Let r = o + 110. Let x = r - -134. List 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 m(u) = 20*u**2 + 1. Let h be m(-1). Suppose -6 = 3*i - h, 0 = -2*l + i + 1. Which is the nearest to -1? (a) l (b) 4\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzrzzzzzzzrzzrz. What is prob of picking 2 z?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l - 7 + 7)*(-2*l**2 + 0*l**2 - l**2) to a*l**2 + z*l**3 + b + p*l and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 25 = -20*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 40*q = -324 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/(-9) + 2\/9. Does 6 divide (2 - 1 - h)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*u - 3*u. Let c be (-2)\/6 + 2\/(-3). Suppose 2*s - 19 = 4*w + s, -5*s - 20 = 3*w. Sort w, c, u in ascending order.\nAnswer: w, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + y**2 - 2*y + 1. Suppose -u - 21 = 4*f, -f - 3 = -3*u - 1. Let i = -2 - u. Let x = 2 + i. Calculate a(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11705028.32 - -11705000.32000034. Let l = 35 + -7. Let d = s + l. What is d rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 11*b - 121 = 11*i, 5*b - 55 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12427 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258\/(-34099))\/((-60)\/260).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 1667*f + 3327. Give n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n + 1. Let m(c) = -c. Let r(b) = 11*m(b) + 2*v(b). Let d(y) = -3*y + 2. Give 6*d(s) - 7*r(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11635.\nAnswer: 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 + 3 = -5*y, 0 = -4*o + 3*y + 47. Solve -4*t - 9*f = -4*f - 23, 4*f - o = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzcjazg. What is prob of sequence afzz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -149 - (-83 - (-71 - -46))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 75, 55, -37, -225, -533, -985?\n\"Answer: -4*f**3 + 56*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 11*q = -7. Let i(r) = r**2 + 9*r + 10. Let v be i(q). Let x(f) = f**2 + 3*f - 1. Give x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 50*r. Let g(k) = 16*k - 16. Let v(x) = 57*x - 54. Let i(b) = 18*g(b) - 5*v(b). Determine s(i(p)).\nAnswer: 150*p - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:34 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-7\/5)*b*b*b**(-7)*(b**(1\/17)\/b)\/b**(-14) assuming b is positive.\nAnswer: b**(651\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-151 - -200) + -51 - (-2 + 0 + 2 + 63)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 8. Let c be (60926 - 5) + 2\/k*2. Suppose v - c = 69080. What is v rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -943*g - 6701 = -1627 + 29817 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -23. List the prime factors of (a - 2)*47\/(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/15 + -2\/3. Put j, -3, -16, -4 in decreasing order.\nAnswer: j, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-1 + -1)\/(40 - 22)). What is the greatest common divisor of 15 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1011080544 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 + 23*o + 12. Let r be q(8). Suppose -r*l + 5*s + 71 + 294 = 0, s = -5*l + 420. Is 85 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from mffew.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:59 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -587976\/11 <= -53452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 8 - 0. Calculate the least common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/((-1)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/8 - 5*y**2. Let o(p) = p. Determine a(o(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807913*p = -808901*p + 20748 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/2*(-1)\/(-1). Suppose 0 = -d + y*d - 20. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, k: 10, w: 2, g: 1, d: 4}. Give prob of picking 3 k and 1 d.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224, 442, 660?\n\"Answer: 218*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 153.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.4 (b) -1 (c) -0.3 (d) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*g + 1302 - 624 = -1277 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + t**3 + (0*t**2 + 2*t**2 - 4*t**2)*(3 - 3 - 2*t))*(2 + 4 + 0)*(-t - t + 3*t).\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -743.\nAnswer: 2\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 3\/8, 0.3, -0.0526?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 4*z**2 - 30*z**2 + (0*z + 0*z + z)*(-z + 3*z - z) + z**2 - 4*z + 4*z.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 + r - 6. Let h be 36\/10*(-15)\/(-2). Suppose -h = 3*v - 9. Let a(u) = 26*u**2 + 0 - u - 32*u**2 - 7 + 0 + 2*u. What is v*a(g) + 7*f(g)?\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3 + 23082227*f**2 - 530068*f + 390.\nAnswer: 6*f + 46164454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11271.2 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3665, -0.4, -0.5, -1\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127 - -129. Solve i*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 239*y**2 + 815*y**2 - 69 - 240*y**2 - 330*y**2.\nAnswer: 6*y**2 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c - 2*l, -25 + 7 = 3*l. Solve -7*g = c*g - 27 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + j = -l, 3*j - l = 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, 2\/13, -0.48 in increasing order.\nAnswer: -0.48, 2\/13, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29345 times -0.084?\nAnswer: -2464.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 973?\nAnswer: 972.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242 = -5*b - 29*y, -3*b - 12*y = -17*y + 34 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 10, 0 = -5*u + m + 20. Let n = u - 4. Let v = 4.2 + -4. Which is the nearest to n? (a) -1 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*i - 11 = -1, 3*y + 4*i = 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + sqrt(132)*1))*3)\/(sqrt(108)\/sqrt(144)) + (5 + sqrt(176) + -1)**2 + -3*(sqrt(396) + sqrt(396)*-1) + sqrt(396).\nAnswer: 26*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.000311, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/120 - d**5\/20 - d**4\/12 - 2*d**3\/3 + 19*d**2. Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145667*a**2 + 450499*a.\nAnswer: 291334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3965 + j + 4*j - 1298 - 4*j as o*j + y and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15285385 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**3\/12 + 849*o**2\/4 - 720801*o\/4 + 2620. Determine r, given that x(r) = 0.\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a + 1366 + 5732 = -273*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o**5 - 5*o**3 + 4*o**2 + 26*o + 5. Let b(m) = m**5 + m**3 - m**2 - 1. Let d(x) = 10*b(x) + 2*n(x). What is the third derivative of d(k) wrt k?\nAnswer: -960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -8\/3, 5, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 17428917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41515?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 76417043741\nAnswer: -76417043740.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -17. Let a(f) = -7*f - 3. Let p be a(j). Let x = p - 5. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 159*m**8\/56 - m**6\/120 - m**4\/12 + 2167*m**3\/6 - 2059*m**2 - m. What is the second derivative of k(h) wrt h?\nAnswer: 19080*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 11*b. Let z be v(-11). Solve 4*u + z + 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25702624 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 460\/7 - 66. What is the biggest value in u, -2, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4817 is divided by 283.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r + 26. Let i be l(0). Suppose 0*y - 4*x = -2*y + i, 1 = -3*y - 4*x. Solve -t - y*f - 24 = -3, t + 2*f + 6 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*u - 1058*u**2 - 1063*u**2 - 48*u - 1063*u**2 - 55*u + 3189*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g - 269*g + 5973 = 0. Sort -5, 5, g, 4 in decreasing order.\nAnswer: g, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009549 rounded to four decimal places?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.11 * 453\nAnswer: -502.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947213347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173314567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**3 - 11*s**2 + 11*s + 2. Let f(n) be the first derivative of 3*n**4\/4 + 2*n**3 - 3*n**2 - n + 650. What is -11*f(q) - 6*i(q)?\nAnswer: 3*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 112 = -6*h. Let r be (-79)\/((-1)\/(5 - 4)). Let q = h + r. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-186)\/(-52) + (-38)\/494. Is 4 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 16, -627, -1, -3 in increasing order.\nAnswer: -627, -3, -1, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73\/8 + -257\/24. Find the common denominator of c and 113\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2 + 6\/4). Suppose 0 = 2*o - 11 - c. Let u = 7 - 4. Solve -3*s + o*s = u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.1. Let s = l + 0.2999984. Round s to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.13 - -3.87. Let u = 11.07 - 11. Let s = u + 0.43. Which is the smallest value? (a) 4 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 615\/82*12\/(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 4*i + 4*i)*((3*i + 0*i - 5*i)*(-7 + 5 - 3) - 8 - 3 + 12 - 4*i) as b + a*i**3 + k*i + z*i**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/7, -0.039, 0?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**3 - 22*q**3 - 37*q**3.\nAnswer: -31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**4\/24 + z**3\/6 + 14*z**2. Let s(o) = -8*o**3 + 2*o + 2. Let m(x) = 2*n(x) + s(x). What is the derivative of m(r) wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4555 - -3897.2. Let p = q - -658. Which is the second smallest value? (a) 5 (b) -1.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1 + 0 - 1 - 1 + (3 + 2 - 3)*(1 + 1 + 0) - 3 + 5 + 0 + 2 + 1 - 2 - 3 + 1 + 5)*(264*x**2 - 264*x**2 + 18*x**3 + (-1 + x**3 + 1)*(-1 - 2 + 0)).\nAnswer: 105*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccvpcxvmkmvmmmc. What is prob of sequence vkx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from ixvkh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 - (17 + -58 - -15)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + 77. Let u = d + -100. Solve u*s - 4*s - 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(4 + 3 + 1)*(s + 0*s + 0*s + (s - s - s)*(-1 - 3 + 3)) to a + b*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 16048 = -0*l. Let o = l + 1912. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/111781056 and 49\/27945264.\nAnswer: 111781056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6656 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*v + 0*v + 3*v)*(0 - 4 + 3) - 24*v + 2*v + 6*v + v - 3*v + v)*(-v - 5 + 5) to the form o*v + b + u*v**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a factor of 588126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26773 and 73595.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4208 - 84.\nAnswer: 4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1188743 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*m + 5. Let d(v) = v**3 - 6*v**2 - v + 6. Determine d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203929 is divided by 3127?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -593 - -5339\/9. What is the second biggest value in o, 18, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15134\/(-336) + (-11 - 1325\/(-120))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 6:01 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*r - 10, 2*o + 35*r = 32*r - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 983003 - 0.2.\nAnswer: 983002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.04 or 0.031?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37636053 to the power of 1\/2, to the nearest integer?\nAnswer: 6135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 11*p**3 + 0*p + 5*p - 3*p**3.\nAnswer: -14*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -102121011?\nAnswer: -102121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 > 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475198819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1 + 7*a + 0 - 5 - a**2. Let b be x(9). What is the units digit of (14\/8)\/((-3)\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/44 + 9\/55. Let t(j) be the second derivative of -1\/2*j**4 + 0 + 3*j + 3*j**2 + 1\/6*j**3 - o*j**5. Give t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*q**2 + 74*q**2 + 89*q**2)*(-2*q - 2*q**2 + 2*q) + q**4 + q**4 - 4*q**4.\nAnswer: -590*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 7 - 14 + 2 - 33*n - 49*n**3 + n**2 + 3 + 27*n**3 as q*n**4 + c*n**2 + j*n**3 + u + k*n and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31238.\nAnswer: 2, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102332223 - -111?\nAnswer: 102333000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.9 - 70.12. Put -2\/9, 2, u, -1\/2 in decreasing order.\nAnswer: 2, u, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/49*1*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3221\nAnswer: 2\/3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1\/(-4) - 289\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 7*j**2 + j + 4. Let v = 85 + -59. Suppose -4*i - i - s = 33, s + v = -4*i. Calculate m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5716 (base 10) to base 13\nAnswer: 27a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50 - 50 - 8*z**2)*(584*z**2 + 4573*z - 4573*z) to b*z + i*z**4 + j*z**3 + l + o*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 6. Is v(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * 1\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 20*y**2. Let p(n) = 19*n**2 + 1. Let a(i) = 6*g(i) - 7*p(i). Let w(b) = -b**2 - 1. Give a(j) - 6*w(j).\nAnswer: -7*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 224*n - 13127. What is l(125)?\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 7 + 4 - 2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f + 6. Calculate the remainder when 6 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3825 divided by 1275.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 2643076?\nAnswer: 2643076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -164*c + 99. Calculate m(2).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1238, 0.4, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*m = 29, -v - v + m = -13. Suppose a + v*s - 4*s = 45, -s - 183 = -3*a. Calculate the highest common factor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -4)*(-11)\/(-72 + 6). Suppose 98*i - 94*i - 52 = 0. Which is bigger: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 26. Let r be y(-17). Solve 0*c + r = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g**2 + 5*g + 4. Let l(f) = -9*f**2 + 3*f + 3. Determine 5*b(k) - 8*l(k).\nAnswer: 2*k**2 + k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2526881174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 27, 2\/11, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 239*u + 13152. Determine k(-55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -8, -3, 6, 19, 36?\n\"Answer: 2*q**2 - 5*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721871956.\nAnswer: 2, 13, 13882153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566068?\nAnswer: 2, 47, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoixiddx. What is prob of picking 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 3 - 1 + s**2 + 13*s - 14*s - 3*s**3 to the form g + l*s**2 + b*s + k*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2176) + 5*-3*sqrt(2176))\/(sqrt(800) - (sqrt(2) - -1*sqrt(32))).\nAnswer: -112*sqrt(17)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 14*k**2 - 69*k - 54 = 0. Calculate k.\nAnswer: -3, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.8 times -5741?\nAnswer: 819814.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4*r + r)*(-685*r**3 - 1050*r**3 - 64*r**3 + 2*r**2 - 2*r**2).\nAnswer: 1799*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*q - k + 29, 2*q - 16 = 4*k. Factor -4 - 3*f**2 - 5*f**2 + 24*f - q*f - 6*f**2.\nAnswer: -2*(f - 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 9*k**2 - 10*k + 20. Let g be a(8). Suppose -l - 4*z = 0, 3*l - 8*l = g*z. Solve 4*r = -3*p + r - 3, -5*p - 2*r - 17 = l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3 + 3)*(-236*z**2 - 826*z**2 - 43*z + 41*z).\nAnswer: 1062*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-27)\/7) + (-3)\/(-21). Suppose -6 = -g - a. Suppose g*d = -2*x + 64, -4*x = -x + d - 94. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43101 + 43105. Let i(y) be the second derivative of -y**3\/3 + 5*y**2\/2 - 2*y. Calculate i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4413, 8809, 13205, 17601?\nAnswer: 21997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225704 is divided by 2789.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 132691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*b = 3*s - 160*b - 11, 16 = 2*s - 5*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/42 + 115*w**3\/21 + 116*w**2\/7 - 34*w + 3. Factor l(s).\nAnswer: -2*(s - 116)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3638?\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -34113*o - 6 - 253*o**3 - 34119*o + 68232*o as j*o**2 + v*o + x*o**3 + m and give x.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 2*n. Let m(c) = -3*c**2 + 3*c + 7*c**2 - 3*c**2. Let o(t) = k(t) + 4*m(t). Determine o(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(1216) + 4 - (sqrt(1216) + sqrt(1216)*5 + -4)) + 4)**2*4.\nAnswer: -244000 + 6400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, g: 2, l: 3, s: 1, z: 6}. What is prob of sequence szlg?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.277319 weeks?\nAnswer: 5006122531.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 247 - -3?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3774.524*-0.3\nAnswer: 1132.3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/3)*f)**24\/(f**3)**(-23))**(1\/3) assuming f is positive.\nAnswer: f**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284875?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3434499 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -172, -411, -728, -1117, -1572, -2087, -2656?\nAnswer: -3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-3))\/(2\/6*1). Find the third derivative of -r*t**2 - 10*t**4 - 24*t**4 + 22*t**4 - 9*t**2 wrt t.\nAnswer: -288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -2.74, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -4. Let l(z) = -z**4 + 6*z**3 + 6*z**2 - 7. Let o(n) = -2*n**4 + 7*n**3 + 7*n**2 - 8. Let q(p) = x*l(p) + 6*o(p). Differentiate q(h) wrt h.\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 283527 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2)*(-6)\/(-36)*-12. What is the smallest common multiple of 4 and 1\/1*(10 - d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 551*f + 126. What are the prime factors of y(10)?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16913631 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -333351 not equal to -333396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, b: 9}. Give prob of sequence dd.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-10)*9\/(-15)*125\/(-30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*k - 2 = 0, 66*n - 63*n - 2*k = 6. Let d(s) = 24*s**3 + 4*s**2 + 4. Let o(m) = 455*m**3 + 77*m**2 + 77. What is n*o(f) - 77*d(f)?\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 - 2626?\nAnswer: -2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 23*h = -8*h + 374 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u - 6. Suppose -2 - 2 = -u*p. Suppose -8 = p*t, 2*y + 5*t = -2*y + 40. Calculate the highest common divisor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:49 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28652 to the power of 1\/2, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 25400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1122210?\nAnswer: 1122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205\/4, -5\/3, 139.\nAnswer: -205\/4, -5\/3, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*b**6 + 4*b**3 + 887*b**2.\nAnswer: 9000*b**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7701.8 + -7702. Let d = -4 - -7. Put d, -2\/5, -2, o in decreasing order.\nAnswer: d, o, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 4\/7, 4, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14196 take away 1717.129?\nAnswer: -15913.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50736 and 99377328?\nAnswer: 695641296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215814)\/(-1366822)*(1\/3*6\/1)\/4?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1186*k**2 - 1159*k**2 - 259*k**2.\nAnswer: -2604*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -5*q. Suppose -5*t = 0, q = 5*i + t + 37 + 18. Find the common denominator of ((-26)\/88)\/(i\/(-110)) and 85\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2990)\/(-11) - (-10)\/55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 3)*(1 + 12\/(-9)). Sort t, 11, -1 in descending order.\nAnswer: 11, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 5 + -2 + 104 + 5 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1061, -1059, -1057, -1055, -1053, -1051?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**3 - 6*q**2 + 4*q - 3. Let p(r) = 11*r**3 + 5*r**2 - 3*r + 2. Let a(i) = 3*c(i) + 4*p(i). Give a(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1697 + -6869\/4. Let t = -160\/9389 + -720979550\/103279. Let i = t + 6986. Calculate the common denominator of i and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = -3*m, m - 15 = 6*m + 5*w. Suppose 4*s - 16 - 28 = m. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.97 - -47.03. Let j = h - 53.5. Which is the fourth smallest value? (a) -1 (b) j (c) -3\/4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 3129843?\nAnswer: -3129843.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36781 - 845589\/23. Let n = -3835843229\/328480572 - 2\/1190147. Let v = k + n. Calculate the common denominator of v and -49\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13252*l - 11481 = -13381*l for l.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.7 - 13.2. What is the nearest to -0.1 in -1\/5, k, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.071 * -0.166\nAnswer: -0.177786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 85212 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/16 and 99\/27788.\nAnswer: 111152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*j + 5*j. Suppose p + j = 4*b + 5*p, -6 = -2*b + p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 165? (a) 0.5 (b) 0 (c) -0.09 (d) 725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let x(s) = -s**3 + 3*s**2 - 3*s + 1. Let j be x(w). Is 4 a factor of 15\/2*j\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/47, -51\/8, 0.3, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 + -211. Let m(p) = -2*p**3 + 7*p**2 - 19*p + 3. Let z(c) = c**3 - 4*c**2 + 10*c - 2. Let y(g) = -3*m(g) - 5*z(g). List the prime factors of y(h).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3 = z - 3, -7*z + 9*z + l = 4*z + 27 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 603, 726, 853, 984?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1\/9, -112, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14310 and 855.\nAnswer: 271890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 7, 5, -4 in ascending order.\nAnswer: -4, -1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11647010 and -1.\nAnswer: -11647010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = 481*h - 438*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 48*l - 716. Let a be f(15). What is the highest common divisor of 11996 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efe when three letters picked without replacement from ffeeef?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 8, q: 5}. Give prob of picking 1 q, 1 d, and 1 u.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 9*p + 3. Let x be n(-11). Suppose -x*j + 697 = -2078. Calculate the remainder when j is divided by (-1 + 0)\/(2\/(-58)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228561825\/22 + 10379941. Let i = 9231 + a. Let g = -24953\/7 - -7119\/2. Calculate the common denominator of i and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41535*z**5 - 2722*z**2 + 3*z?\nAnswer: -2492100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73559284 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148733605733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/2 - 2*w**3\/3 - 3*w**2\/2 + w. Let z be (26\/(-143) + (-32)\/(-55))\/((-10)\/50). What are the prime factors of l(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30460 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -13 + -1 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((0 + -1)\/(-2)). What is the third derivative of 0*l**3 - 2*l**3 - 3*l**2 - 4*l**3 + v*l**2 wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271 + 279. Find the third derivative of b**2 - 26*b**3 + 2*b**5 - y + 7*b**2 + 8 wrt b.\nAnswer: 120*b**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275 divided by 20240?\nAnswer: -255\/4048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(((-42)\/16)\/(68\/272)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3963341, 3963340, 3963339, 3963338?\n\"Answer: -u + 3963342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 2. Let s = 85 - 83. Suppose s*o - 5 = 9. What is the remainder when o is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/24706292 and 41\/30708?\nAnswer: 222356628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -912 (b) 2 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*x + x - 359, -4*o - x = 717. Suppose -6469 = 72*a + 6491. Are a and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Let n = -28991.0262 - -28994. Let p = -0.0262 - n. What is the closest to -1 in d, 4, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 75, -75, 5\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123540000 rounded to the nearest 1000000?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6132 and 103359459.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c - 40. Suppose -2 = -8*y - 58. Let f be q(y). Suppose f*m - m - 77 = 0. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10445, 21130, 32079, 43280, 54721?\nAnswer: 66390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i + 25*i + 19 - 14*i)*(27 + 12 - 1)*(2 - 2 - 1).\nAnswer: -38*i - 722","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 1. Let w(r) = -26*r + 4. Let t(x) = -14*x + 1. Let v(n) = 5*t(n) - 3*w(n). Let y be ((-54)\/24)\/((-3)\/(-8)). Determine y*f(d) - v(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 111792 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*t = -101643, 0*h - 76226 = -3*h + 4*t. Let o = -13981 + h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 359727.\nAnswer: 359730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152\/9 or 0?\nAnswer: -152\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11 + 5 + 1291*b**2 - 1292*b**2 + 12. Let o be f(5). Solve 0 + 6 = o*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*i = -193*i + 232 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/f**(-6)))\/f)\/f)\/(f*f**3)*(f*(f\/f**8)\/f)\/f**2)**(-2\/17) assuming f is positive.\nAnswer: f**(42\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 140 = -20*r + 19*r, r + 36 = -70*u + 72*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*h - 243 + 279 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 3\/5 (c) -5 (d) -4843 (e) -0.4 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 90132*n**3 - 2030673942*n**2 - 12186477324*n - 18280932849.\nAnswer: -(n - 45069)**2*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j + j)*(4 + 0 - 2 + (2 + 0 - 4)*(-7 + 8 - 9) - 1 - 1 + 0) in the form r + k*j and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 16 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -8, 1, 2, -5, 2119, -2.\nAnswer: -8, -7, -5, -2, 1, 2, 2119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)\/h*((h**(-1\/13)*h)\/h)\/h assuming h is positive.\nAnswer: h**(-215\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -3\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3056, 3046, 3036?\n\"Answer: -10*d + 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/4)\/(-4 - (-13101717)\/3275444)?\nAnswer: 3, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 640150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/43 or 0?\nAnswer: 14\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46523 is divided by 119?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17 - ((3 - -1) + -1). Let h = t - -21. What is the remainder when 2 is divided by (-1)\/((-3 - h) + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 17*y - 22*y. Let h(a) = -a - 1. Let f(d) = d - 4. Let c(i) = y*f(i) - 4*h(i). Let g(o) = -14*o. Calculate c(g(l)).\nAnswer: -70*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8253, -8261, -8269, -8277?\nAnswer: -8285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794647.\nAnswer: 7, 61, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 23*g**8\/336 - g**6\/120 + g**5\/6 - g**3\/3 + 24*g**2. Find the third derivative of a(t) wrt t.\nAnswer: 1380*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*6\/(-63)*38\/342*693?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 2 - 2)*(-2 - 760*p + 335*p + 0 + 218*p)*(3 + 1 + 5).\nAnswer: 1863*p**4 + 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1122523 and 81215.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - a - 2215, 5*q - 5*a - 5550 = 0. Let y = q + -1103. Factor 14\/17*x**3 + 0*x + 0 + 4\/17*x**y.\nAnswer: 2*x**2*(7*x + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -62e838?\nAnswer: 62e834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5182 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/6 - 10 - 3.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -22*w - 218. Let p be s(-13). Suppose p = -8*n + 42*n. Solve -3*v - n*m = 3*m + 24, 0 = v - m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562035 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 11*g = 4, 3*q = g + 1237. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 10*a**3 - 5 - 7*a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 508.1445 years to millennia.\nAnswer: 0.5081445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 15*b**2 - 13*b - 32. Let i be q(16). Suppose 2*g = -2*h + i, 0 = -5*g - h - 2*h + 34. Solve g*y + 1 = 3*o - 6, -o = 5*y - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -16.18. Let k = -4 + -7. Let z = k - y. What is the closest to 1 in z, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a - 2. Let w(m) = 6*m - 176. Let b be w(27). Let p(l) = -13*l - 10. Let o(g) = 26*g + 19. Let j(r) = 3*o(r) + 5*p(r). What is b*v(u) - 4*j(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/76447 and 69\/1797208.\nAnswer: 292944904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -236? (a) 4\/5 (b) 0.07 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:06 AM?\nAnswer: 479","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Put -241, -2\/3, -0.5, -0.3, 1\/7 in descending order.\nAnswer: 1\/7, -0.3, -0.5, -2\/3, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233278160 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*a = 173*a - 42. Let s = 2.256 + -0.256. Let v = -0.11 - 1.89. What is the smallest value in a, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, -36, -176, -414, -774?\n\"Answer: -4*a**3 - 13*a**2 + a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (900\/(-125))\/((-8)\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((4 + -1*sqrt(1331))**2 - sqrt(1331) - sqrt(1331)))*-5 - (-6*(-1*(1 + sqrt(1100)) - (sqrt(1100) - (-1 + sqrt(1100)))*-4))**2.\nAnswer: -46659 + 2710*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11020 is divided by 960?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -1\/12 (c) 2\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i - 7. Let b(h) = h + 1. Let r be b(-3). Let c be 9\/r*(-12)\/(-9). Is j(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7506 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*-2*sqrt(891) - (sqrt(891)*1 + 3)**2).\nAnswer: -900 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -23. Let l = -0.8 + 2.8. What is the biggest value in l, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -57*m + 116 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = s, -20*s + 75 = 869062*o - 869067*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -318 - -372. What is the second derivative of 118*l**2 - o*l + 21*l - 31*l**2 wrt l?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33122 - 614?\nAnswer: 32205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -92, -257, -550, -1007, -1664?\n\"Answer: -6*n**3 - 10*n**2 - n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3767, 14, 2, 161 in descending order.\nAnswer: 161, 14, 2, 1, -3767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19847591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14602*x + 469. Let p(y) = 14601*y - 547. Give 7*l(k) + 6*p(k).\nAnswer: -14608*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z. Let p(h) = -7*h**2 - 6*h. Let d(b) = b**2 - 3*b. Let a(j) = 2*d(j) - p(j). Give t(a(u)).\nAnswer: 126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/5, -2, -1, 2\/3, 1\/6, -4760?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 52, 2, 3 in ascending order.\nAnswer: 2, 3, 52, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*b = -57, -10*j + 8*j - 9*b = -110 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*y + 66, 0*j + 5*j - 148 = y. Let q be 5\/10*-4 + -3 - -87. Suppose 8*c - j = q. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101010011111010110 (base 2) in base 5?\nAnswer: -21032123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 0 - 24\/(-6) - 164. Let d be (p\/9)\/2*-45. Suppose 2100 = 10*y + d. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 v when three letters picked without replacement from {x: 5, v: 1, d: 2, b: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144 - 300666?\nAnswer: -301143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2323314243?\nAnswer: 2323314301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 636534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 15. Suppose j*v + 4 = 19. Suppose -v*a + 3 = -5*y - 30, 0 = 5*a - 5*y - 45. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 40 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16721836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.3. Let h be (64\/(-896))\/(1 - 5\/4). Let n = -0.2 - -0.2. Which is the third smallest value? (a) n (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-8) - 0)*8 + -2. Let c be (m\/(-5))\/(1\/25). Solve 5*h = -2*i + 11, c*h - 17 = -i - 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010871.8 minutes to weeks.\nAnswer: 199.49125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 2*n**2 - 2*n + 2. Let l(o) = 8*o**3 + 2 - 4*o**2 - 14*o**3 + 5*o**3. Let k be l(-3). Let t(s) = -s**2 - 7*s - 2. Let r be t(k). What is x(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = -3*w, 3*w - 8*w + 5 = 5*l. Let f = 23.13 + -23. Let u = -0.07 - f. What is the second smallest value in u, 0.2, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 22*m**2 - 32*m - 12. Let p(v) = -5*v**3 - 21*v**2 - 31*v - 11. Let s be 6*(1 - 2) + 9\/1. Let k(g) = s*p(g) - 4*w(g). Solve k(o) = 0 for o.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -659*h + 652*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/22)\/(5\/(-6)*4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4187*u**3 + 1542*u**3 - 443*u - 4325*u**3 + 2*u**2 wrt u?\nAnswer: -41820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -8)*2\/4. Let o be (i - -6)*1 + 105\/(-42). Factor -k**3 - o*k**4 - 1\/2*k**2 + 0 + 0*k.\nAnswer: -k**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28123925.\nAnswer: 5, 1124957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*z + 9 = 0, 8 = -4*g - 6*z + 9*z. Let l be (-7)\/28 + (-237)\/(-756). Do l and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*u**2 - 1289*u**2 + 4370*u**2.\nAnswer: 3850*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1033)\/1*-60*(-31 + 36). What is m rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(192))\/(1*-2*sqrt(24)*-1))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/(b\/b**(2\/21))*b**(-18)\/(b*b\/b**(-2\/17)) assuming b is positive.\nAnswer: b**(-8219\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r - 2*r + 4*r - 6. Let g be x(4). Suppose -3*o + g = -z - z, 8 = o + 4*z. Calculate the lowest common multiple of o and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*l - 20, w - 5*w - 3*l = -16. Suppose 5*u - 56 - 245 = -b, b = -w. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -464, -467, -470?\n\"Answer: -3*l - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48210 or 48237?\nAnswer: 48210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4439.93 + 4440. Let v = 10 + -9.2. Let a = v - 3.8. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 28. Let o(h) = -h + 1. Calculate c(q) + 2*o(q).\nAnswer: -2*q + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*z**3 - 240*z - 9*z**5 + 24*z**5 - 2*z**5 - 6*z**5 - z**3 wrt z?\nAnswer: 140*z**3 + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, d: 1, j: 2, p: 1, v: 4}. What is prob of sequence oj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, -1\/9, 16?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1088)*-5 + 2*(sqrt(102)\/sqrt(6) + sqrt(17)))**2 + 5).\nAnswer: -44074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 67*c**2 - 4*c - 5. Let b be k(-6). Suppose 0 = -3*o + n + 772 + b, -3*n = 3*o - 3183. Let i = 6366 - o. Round i to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*l**2*s - 10*l**2 + 12*l*s**2 + l*s + 5*s**3 - 1625 with respect to s.\nAnswer: -9*l**2 + 24*l*s + l + 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - -45. List the prime factors of v.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwwmmmmrmwwrwwwrw. Give prob of sequence rw.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/9)\/(d*d**(-25)) assuming d is positive.\nAnswer: d**(217\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 353 - 186 - 139. Let v(t) be the third derivative of 36*t**2 + 0*t + 3\/4*t**k + 0*t**3 + 0. Let h(b) = b**2. Calculate v(h(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2, -2*v - f + 8 = -3*f. Suppose -y + 27 = v*y. Let m(k) = -k + 72. Let i be m(0). Calculate the greatest common factor of i and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303387 + 303405.9979. Let k = g + -148.014. Let t = -129 - k. What is t rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 85 + 7\/(7\/11). Suppose -4*u - 33 = -l - 174, -5*l = -15. Calculate the greatest common divisor of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 968448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 463?\nAnswer: 4\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*g*v**3 + f**2*g*v**2 - 6*f**2*v**3 - 2*f**2*v**2 - f*g*v**2 + 2*g*v**3 + 5*v**2 wrt v.\nAnswer: 6*f**2*g - 36*f**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29433259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6553106583 to the nearest integer?\nAnswer: 80951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2252.15823 * 0.2\nAnswer: 450.431646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4115356 and 5291172.\nAnswer: 37038204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:33 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/2 + 7927891*j\/2 - 19819740 = 0. What is j?\nAnswer: -7927896, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128832 - -1128832. Round q to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v - 12274 + 14076 = 0 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -49. Let p(r) = r**2 + 7*r + 11. Let s be p(-6). Suppose -t + 3*z = -3, -3*t + s*z + 0 + 21 = 0. Calculate the remainder when l is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 - 418*y + 2043. Give h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-6))\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1341 + -1308. Solve c = 4*w + 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**3 - 20*b**2 - 3*b - 4. Calculate o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14072 is divided by 1401?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3)*c)**19)**18 assuming c is positive.\nAnswer: c**912","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/28, -1, -1\/23 in decreasing order.\nAnswer: 1\/28, -1\/23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 1455 = 4*j + 325, -1411 = -5*j + 3*o. Let n = j - 160. Let q = n + -22. Does 33 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0 (b) 164 (c) -15 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ikikii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -62*t. Let u(g) = 4*g + 9*g - 14*g. Give u(x(m)).\nAnswer: 62*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5549599346 to the power of 1\/3, to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 539 + -319. Let f be g\/585 - (-4)\/130*-5. Which is the closest to -2\/7? (a) f (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.51 or 44\/873?\nAnswer: 44\/873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.511 and -2157?\nAnswer: 2156.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*t**4 + 291564*t**3 + 5*t**2 + 8556017*t + 6 wrt t?\nAnswer: 72*t**2 + 1749384*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -224933427+-304.37\nAnswer: -224933731.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -833710, -833714, -833720, -833728, -833738, -833750?\n\"Answer: -v**2 - v - 833708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19651937 + -8352067399\/425. Let b = j + -411\/34. Calculate the common denominator of b and -22\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(171) + 0 - sqrt(171))*-1 + sqrt(171)*3 + 1 + 0))**2.\nAnswer: 450*sqrt(19) + 38500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-635)\/(-10) + (-84)\/24. What are the prime factors of 7*181 + (r - 58)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -192 or 220453?\nAnswer: 220453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6990878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 5*b - 2*b)*(-b - 6*b + 4*b) + 960 + 7*b**2 - 960 - 2*b + 4*b + 3 - 2 + b**2 to the form x*b**2 + z*b + r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1\/(18\/14). Let b = 3.638 - -0.362. Put 0, b, k in decreasing order.\nAnswer: b, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3514685997.\nAnswer: 3, 257, 4558607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - k)*((-2*k - k + 5*k)*(-3*k + 2*k + 3*k) + k - k - 2*k**2 + 2*k**2 - 5*k**2 + 2*k**2 + 2*k - 2*k + 2*k**2 - 3*k**2 + 2*k**2 + 0*k**2).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/3 (c) 0 (d) -1 (e) -2.1651\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-1 - -2) - 0. Sort -6, q, 1, -4 in increasing order.\nAnswer: -6, -4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - 156 - (-36 + -11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, v: 1}. What is prob of picking 3 l?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*((-4)\/(-6))\/(40\/15). Suppose 5*k = 4*d - 87 - 35, 52 = p*d + 2*k. Calculate the remainder when (-6)\/(-8) + 1463\/d is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158570 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: Expand (1 + 0 - 2)*(5*s**5 - s**5 - s**3 - s**3).\nAnswer: -4*s**5 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(114)\/sqrt(3))\/(sqrt(22)\/sqrt(44) + sqrt(2))*4.\nAnswer: -32*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -6*l - 99 + 5*l + l**2 - 7 - 3*l. Suppose 2*q = -q + 18. What is z(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 - 6*f + 6. Let b be p(4). Let d(m) = -3 + m - 7*m + 2*m. What are the prime factors of d(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = 11*x + 50 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, c: 7, y: 2}. Give prob of sequence cczy.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1080 = 2*n, -7*n + 3*p + 2692 = -2*n. Suppose -5*t = -t - n. List the prime factors of t.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 7 - 3)*(-w**2 - 4 - 4*w + 4*w).\nAnswer: 19*w**2 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + 7*n**2 - 4*n + 1. Let j be a(5). Let d be ((-2)\/(-3))\/((-1)\/j). What is the third derivative of 7*s**2 + 146 + 5*s**3 - d wrt s?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*s**3 - 25333695 + 25333695 + 381*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 33373200407.071 plus 3?\nAnswer: 33373200410.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(2\/4 - 0). Let m(k) = 9*k**2 + 6*k**2 - 1 - 26*k - o*k**2 + 24*k. Let j be 2\/10*(-3 + -1 + -11 + 10). Calculate m(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6.7. Let q = 2.5 - c. Let y = -3.8 + q. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*p + 359 = 807 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141 + -135. Which is the biggest value? (a) v (b) 2\/7 (c) 1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 10 = 5*s - 4*x, 5*x = s + 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + (-10 - -8) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 2 + 2)*(5*t - 2*t - t)*(2 + t - 1 - 3*t) in the form y*t**3 + o*t**2 + j + g*t and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. What is the third biggest value in 0.4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6\/25, -0.16, 1\/6, -1, 0.3, 2\/15?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 4393, 11659, 21833, 34915, 50905, 69803?\nAnswer: 91609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + -4 + 1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*k + 924*k + 24 + 933*k - 3*k**3 + 70.\nAnswer: -3*k**3 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*t - 10 = 3*s, -s - 2*t = 10. Suppose -i - 3*j = -0*i - 24, s = -2*i - j + 28. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 - -295. Solve 0 = 5*t + 5*a - 15, m = -2*t - 4*a + 6 + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + 28?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -46566980*m**2 - 2*m - 2. Let t(u) = -3*u. Give g(t(h)).\nAnswer: -419102820*h**2 + 6*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, -2\/5, -2\/7, 3, -0.5 in increasing order.\nAnswer: -145, -0.5, -2\/5, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**4)\/p**(-2)*(p*p**0)\/p*p\/p**(-5\/6))\/((((p**6*p)\/p)\/(p\/p**(-1\/4)*p))\/(p*p\/(p**(-2\/3)*p)*p)**(-4\/7)) assuming p is positive.\nAnswer: p**(-373\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8582.453mm?\nAnswer: 0.008582453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 4*s + 5*i, -2*i = -4*s + 1 - 221. Let t = -48 - s. Suppose -3*h + t*h - 711 = 0. Is 49 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**6\/30 - 5*p**3\/3 - 49*p**2\/2 - 2*p + 22. Find the first derivative of q(w) wrt w.\nAnswer: 4*w**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*z**4 - 15*z**3 - z**2 + 9*z - 15*z**3 - 18*z**3 + 48*z**3 to o + v*z**3 + p*z**4 + m*z**2 + y*z and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2*h - 5. What is s(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-3 + -2)*-3. Suppose a - 3*h - 4 = -7*h, -3*h + w = -a. Let s = a - -8. Solve s = 4*x - 16, -5*m + x = -8 - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 - 6500*h**4 + 219235*h**3 - 951410*h**2 - 6644060*h - 7624760 = 0 for h.\nAnswer: -1333, -2, 11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32327843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:32 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1039, 1043, 1049, 1057, 1067, 1079?\n\"Answer: d**2 + d + 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1 - -12) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2934)\/(-15) + 12\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -144*y**2 + 0*y**3 - 13\/24*y**4 + 0*y - 1. Let h(l) = 10*l. Calculate t(h(q)).\nAnswer: -130*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -2, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 1 - 19. Let k = -153\/20 - -29\/4. Let y be (-117)\/45 - -1*2. What is the closest to 2 in y, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 3. Let v be i(4). Let f = -5 + v. Let j(p) = 4*p + f*p**2 - 3*p**2 + 2 - 5*p. Let h(w) = w**2 + w - 1. What is -h(g) - j(g)?\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 56*h = 22. Let k = h - 13. Does 9 divide 1541\/k - 6\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/6))**(12\/13))**(-5\/13)\/((g\/(g*g**(1\/2)))\/((g**9*g)\/g)*g**(5\/2)\/(g*g\/(g*g*g**(2\/13)*g))) assuming g is positive.\nAnswer: g**(998\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -1 + 1)*(-20)\/25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1042 - 519 - 516 - 12*z. Let n(x) = -x. Give b(n(m)).\nAnswer: 12*m + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w - 3. What is the units digit of c(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (96\/27 + -4)*60\/(-2) and 113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/(2\/9). Let n = -3 + d. Solve n*b - 4 = y, 0*y - 2*y - 4 = -2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120012020200211 + 0?\nAnswer: -120012020200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18956\/21)\/(3 - (-40)\/(-15))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 4.95. Let d = c - -5.000024. What is d rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20582 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -297.7 rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.3 - -8.3. Let g = -0.3 + 1.3. Which is the nearest to g? (a) -4 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 33*k**2 + k**5 + 33*k**2 + 0*k**5 - 3*k**5 + 4*k**5 + (2*k**2 + 2 - 2)*(0*k**3 - k**3 + 2*k**3).\nAnswer: 4*k**5 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73866863.\nAnswer: 7, 1507487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -5.16. Let s = -3.1 - -3. Let j = s + d. Put 2, -0.6, j in descending order.\nAnswer: j, 2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 40, 46, 58, 76, 100, 130, 166?\n\"Answer: 3*d**2 - 3*d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5\/4, -1\/5.\nAnswer: -5\/4, -1\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25865 - 12.\nAnswer: -25877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*z + 250*z + 1 - 132*z in the form j*z + h and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 124*u - 5. Let g(o) = -247*o + 12. Give -13*f(x) - 7*g(x).\nAnswer: 117*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h. Suppose 0 = 22*x - 18*x + 16. Sort -1, h, x.\nAnswer: x, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/8 - 285*q\/2 + 8100 = 0?\nAnswer: 60, 1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 10*z = 3*a - 3, a + 2*z - 58 = -49 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-72) - 18\/(-8). Suppose 0 = d - z - 3*z + 111, -r*z = -4*d - 444. Let o = -44 - d. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) 33 (c) -5 (d) -2\/13 (e) -1383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - -11)*(-2)\/(-3))\/((-5)\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 964, 3892, 8784, 15646, 24484, 35304?\nAnswer: 48112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9*r = 6*r, 2*b = -5*r. Suppose 0 = -5*v - 5, -z + 3*v = 4 - 1. Let x = -4 - z. Solve b*l + x*l = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2.42.\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 20. Let t(j) = j**3 + 16*j**2 + 16*j + 15. Let l be t(-15). Suppose 5*h + q + 61 = 0, l*h = -3*h + 5*q - 31. Calculate g(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133731998 is divided by 8549?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151510 is divided by 287852.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -157\/19 - -2785\/114. Find the common denominator of a and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -15*u - 364. What is the remainder when 255 is divided by u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41330 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + (-2*sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931))*-1 + 1*(1 + sqrt(931))*6 + -4)**2.\nAnswer: 1344*sqrt(19) + 59728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/3 + 4)*42\/2. Suppose 77 + 98 = u*i. Calculate the smallest common multiple of 35 and i.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -30. Suppose 2*d = r + 19. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 3, 2\/3, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 23*j**2 - 19*j - 19. What is the remainder when 50 is divided by q(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47688.14us to nanoseconds.\nAnswer: 47688140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.73? (a) -0.3 (b) 4 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 900305 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2877 - 2851. Suppose -104 = -2*r + 40. Suppose -4*a + 188 + r = 5*o, -5*o + a = -260. What is the highest common divisor of l and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = 25. Let f(w) be the first derivative of -16*w - 2*w**3 - 2 - 2 - 3 - b. Differentiate f(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 111 - 112 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20416, 20220, 20026, 19834?\n\"Answer: j**2 - 199*j + 20614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 37520609 divided by -7757\nAnswer: -4837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21203.\nAnswer: 7, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152642 divided by 2.\nAnswer: -76321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 1. Let f be b(-2). Suppose 0 = 2*t - 4*q - 2, -t - 2 = 2*q - q. Let m be 2\/(t*(-2 + 9)). What is the second smallest value in f, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 2:31 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 5*s = 217928 - 52744. What are the prime factors of s?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1200)\/(-160)*3\/((-90)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68512, 140595, 212678, 284761, 356844, 428927?\nAnswer: 501010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2\/5, -1, -21, 3665?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 677 - 780*p**3 + 667 + 2*p + 5*p - 7*p with respect to p.\nAnswer: -2340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssy when four letters picked without replacement from {d: 2, y: 8, s: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-211 + 211 - 135*p)*(-5*p**3 - 4*p**3 - 2*p**3) as a*p + f*p**2 + i + o*p**3 + n*p**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 311 + -264. Let n = x + -43. Solve -2*m - n = -z + 3*z, -2*z + 4*m - 22 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d - 5. Let x(r) be the first derivative of -3*r**2\/2 + r + 21. Let n be x(d). Solve -2 = n*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 937087.4kg?\nAnswer: 937087400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 3, q: 2, y: 1, a: 1, x: 4}. Give prob of sequence qqsv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2)*-1 + 1. Let a be 2\/6 + y\/(-6). Let p = -2 - -5. Solve a = 3*g - 2*c + 1, -c = -p*g - 0*g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15515 is divided by 15416.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740841241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -0.37222.\nAnswer: 1.62778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 2. Let t be (2 - (4 - 2))*(-5)\/(-10). Let l(z) = -4*z**2 + 2. Let q be l(t). Determine v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25647928?\nAnswer: 2, 443, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 (base 5) in base 15?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 3. Let x(o) = -4*o + 5. Let n(a) = 5*b(a) - 3*x(a). Let y(q) = -q + 2. Determine y(n(m)).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115803 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2\/2 + 8*g - 1. Let x be q(8). Find the third derivative of 7*l**3 - 6*l**3 - 4*l**2 + x*l**3 wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/65 + -2 + (-889)\/280.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 8, i: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h\/h**(-24)*h*h)))\/h*h)\/(h\/h**(5\/7))*(h*((h*h**(5\/8)\/h*h*h*h)\/h)\/h*h)\/(h**8*h) assuming h is positive.\nAnswer: h**(1307\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-102) - 3\/24*23.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - ((0 - -4) + (-240)\/20). Solve -5*l = -s*a, -3*a = -7*l + 3*l + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709129 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 340082051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324314 + 79428 = 4637*x - 13588 for x.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2318 and 44\/285.\nAnswer: 34770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 23*d. Let i(m) = 5*m + 5. Let x(j) = -6*j - 40. Let b(g) = 8*i(g) + x(g). Determine w(b(r)).\nAnswer: 782*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 42 + 42 to v*k + u and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -350*h**2 - 55*h - 55. Let f(p) = 13*p**2 + 2*p + 2. Determine -55*f(w) - 2*g(w).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 1. Let d be l(-1). Let c be (0*3\/9)\/d. Sort -1, 2, c in ascending order.\nAnswer: -1, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111354 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5 - 4*p**3 + 12330*p**2 - 4401487*p + 2.\nAnswer: -20*p**3 - 24*p + 24660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22894350 is divided by 545?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 3 + -4 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 5*q**4 - 13 + 10*q**4 + (-q**2 + 2*q**2 + q**2)*(-q**2 + q**2 + q**2) + 2*q**4 + 0*q**4 + q**4.\nAnswer: 10*q**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(22)*1)\/sqrt(2))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/3))\/b)**6\/(b*b**0*b*b\/(b*b**(2\/9))) assuming b is positive.\nAnswer: b**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671603307?\nAnswer: 3, 557, 401917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*i**5 + 13*i**5 + 9*i**5 + (-3 - 2*i**2 + 3)*(-2 + 2 + 4*i**3) + 6*i**5 - 68*i**2 + 68*i**2.\nAnswer: 34*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253660, 253578, 253496, 253414, 253332, 253250?\nAnswer: 253168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -384, -10\/9, -1 in descending order.\nAnswer: -0.11, -1, -10\/9, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-10) - (0 - 0))*-6. Suppose b - 2*v = 4*b - 226, -3*b = o*v - 231. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 108. Let w(h) = h - 109. Calculate -6*b(d) + 5*w(d).\nAnswer: -d + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-18))\/(-6*5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -50*b. Let l(f) = 3*f**2 + 6673*f. Calculate h(l(i)).\nAnswer: -150*i**2 - 333650*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22282 + 1?\nAnswer: 22283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f - 2. Let l(w) = 2. Let o(d) = -d + 9. Let t(r) = f*o(r) + 9*l(r). Let x(i) = 9*i**2. Determine x(t(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/36 + (-8)\/((-2016)\/(-52))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 91851.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8454752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50891, 50898, 50917, 50954, 51015, 51106, 51233, 51402?\n\"Answer: x**3 + 50890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 + 3 + 13 + 5\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 54 - 442 = -o, 0 = 3*t + 5*o - 308. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 525 + -524. Which is bigger: c or 1\/899?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 - 4. Let k(d) = 2*d**2 + 3. Suppose 60*j - 28 = 67*j. Determine j*k(v) - 3*i(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -81. Let k(i) = -i**2 - 3*i - 1. Determine k(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5936831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -20) + (0 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194731735 to the power of 1\/2, to the nearest integer?\nAnswer: 13955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21741 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0*i + 2*l + 2 = 0, 26 = -3*i - 4*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9687420 divided by -1076380.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -0.55385?\nAnswer: 0.25385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*w = 483*w - 56. Let c be w\/14 + -1 + (-27)\/(-6). What is the fourth smallest value in c, -0.1, 2\/7, -0.02?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1610853 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1072)\/2948 - (140\/490 - (-1996)\/(-3311))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37551073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + j**3 + 386508 - 193252 - 193256.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 3. Let j be u(-2). Solve -5*n + q - 1 = 0, 2*n + 4*q - 5*q + j = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a millennium in years?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.94 - 0.06. Let a = -3044982.099922 - -3044954.1. Let l = a - d. Round l to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334 divided by 3.\nAnswer: 334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -19939 in ascending order.\nAnswer: -19939, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*v**3 + 240*v**2 - 171*v + 27 = 0 for v.\nAnswer: -3, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + g = -1, 0 = -3*d + 2*d - 2*g. Is 6 a factor of 60\/6 - (-8)\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1094*x - 1098*x + 60 = 0. 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 fourth smallest value in 0.5, 5, -3.2, -19\/6, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-1))\/p**(-4\/7))\/(p**(-1)*p*p)**41)\/((p*p**(2\/5)\/p)**(-31\/2))**(2\/19) assuming p is positive.\nAnswer: p**(-24456\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 12*u**4 + 609448*u**3 + 28826848*u**2 + 331226112*u - 233809920 = 0?\nAnswer: -50740, -24, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-6 - -4) - (-15)\/3. Which is smaller: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 256000\nAnswer: -1\/51200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918677174.\nAnswer: 2, 8623, 53269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+12199490709387\nAnswer: 12199490709386.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.7 - 0.5. Let n = o + 39. Let c = n - -11. What is c rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27)\/((-532)\/(-252))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.862116 meters to kilometers.\nAnswer: 0.005862116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 6*r**2 - 3*r - 7. Let o be c(5). Suppose -16 - 14 = -5*a + 4*b, o*a - 21 = 3*b. What is the units digit of (-14 + a)*-1*1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38111 + 38106. Let s(i) = -3*i + i + 3 - 14. Give s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**5 - 3098*b**4 - 635450*b**3 - 42818224*b**2 + 60941855*b - 17485078 = 0.\nAnswer: -221, -179, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 4*w + 2. Let j be k(-4). Solve -3*d - j*q - 18 = 0, 8 = -d - 5*q - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1934*c**2 - 43*c**3 + 3870*c**2 - 157*c**3 + 5*c**3 - 1936*c**2.\nAnswer: -195*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 18*f**2 + 17*f - 18. Determine y(-17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11110 + 5549 + 5548 - 83*s. What are the prime factors of d(-9)?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 49 + -3 + -16 + -16 + 39.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -118 - -133. Let z(a) = a**3 - 6*a**2 + 5. Let u be z(6). What is the common denominator of d and (-5)\/(u\/2) - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from styojvo. Give prob of picking 1 j, 1 t, and 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b. Suppose -188*i + 171*i + 51 = 0. Solve -2*z - 2 = 2*t, b*t + 9 = 3*z - i*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10949.170716 to the nearest 10.\nAnswer: -10950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-895014)\/(-96) - 1\/16 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g = 0. Let y = -0.1172 - -0.4172. Which is the closest to g? (a) -1 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w - 24. Suppose -5*x - 4 = a + 12, 0 = a - 2*x - w. Let s(f) = f - 2. What is the least common multiple of s(7) and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 4. Let w(z) = -10*z + 10. Let o(m) = -5*t(m) - 2*w(m). Let v(l) = 8*l**2. Calculate o(v(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5673796 months in decades?\nAnswer: 0.02139483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -21 + 19 + -18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11. What is the units digit of 13 - (-2 + 6 - v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*o + 112*o + 48*o**2 - 59*o**3 - 221*o wrt o?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 + 7*s**2\/2 + s - 347. Determine j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + o)*(31*o**3 - 1 + 2*o**3 - 6*o**3).\nAnswer: 54*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.78 + -40. Let p = 0.22 + v. Let a = 1 + -1.5. Sort p, a, 3\/5 in ascending order.\nAnswer: a, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4175, 4189, 4213, 4247, 4291, 4345, 4409?\nAnswer: 4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**2\/9 + 274*t + 3920\/9 = 0.\nAnswer: -245, -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 790 = -1128. Let u = 277 + t. Let w(x) be the second derivative of -x**3\/6 + x. Determine w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 24 (b) 0 (c) -280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 21369 + 60691 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/9 (b) 2172 (c) 3 (d) -3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y - 4 = 0. Let o be (4\/2)\/2 - (y + 3). What is the greatest common factor of 18 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 6. Let r(q) = -3*q - 10. Let a(v) = -v - 1. Let x(b) = -5*a(b) + r(b). Let d(w) = -3*m(w) - 2*x(w). Suppose -4 = 4*j - 4. Determine d(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 42*o + 65. Suppose 3*n + 2*q - 19 = 3*q, -2*n - 2*q + 2 = 0. What is the units digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*j + 6889 - 13036 = 14314 for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x = 12828 - 6377 - 8211 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 - 19316*g**2 - 38626*g - 19312.\nAnswer: -2*(g + 1)**2*(g + 9656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - 2*j**2 - 1. Let u be x(3). Let n = u + 49. Let l = -24 - n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 728\/5 - 145. Let o be (-4)\/50 + 28304\/(-91200). Let u = -8\/57 - o. Sort -2, u, -1, g in decreasing order.\nAnswer: g, u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2117 + 153?\nAnswer: 2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92636460 a multiple of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1\/2806, 1, 2\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*s**3 - 4 + 143*s + 18*s + 185*s**3 + 18*s in the form t + k*s + g*s**2 + m*s**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 64. List the prime factors of (13\/2)\/(1*(-2)\/h).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(176)*1 + 4 + sqrt(176) + (sqrt(176) - (sqrt(176) + -2 + -1 + sqrt(176))))**2.\nAnswer: 88*sqrt(11) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 2*c. Let o = 5 + c. Solve -o*i + 4*f - f = -6, -22 = 4*i + 2*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2557*h**3 - 6*h**2 + 6*h - 6. Let y(v) = -1030494*v**3 + 2419*v**2 - 2419*v + 2419. What is -2419*n(z) - 6*y(z)?\nAnswer: -2419*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18601 divided by -89?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 36*d**2 - 35*d - 4. Calculate o(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(35\/(-39))*(-6)\/13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d. Suppose -w - 4*w + 10 = d. Solve 0 = w*f - 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-16)\/h*h)\/h*h)**(-17\/4))**(34\/3) assuming h is positive.\nAnswer: h**(2312\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1292.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 344.4428 litres?\nAnswer: 344442.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k**3 + k**2 - 7*k. Let n(s) = -93*s**3 - 7*s**2 + 57*s - 1. Let a(c) = 2*n(c) + 17*o(c). Calculate a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzl when three letters picked without replacement from zzkllkolzz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2147, -2155, -2169, -2189, -2215, -2247?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Suppose -v*p = -i + 1, 3*p + 2 = -0*i + i. Differentiate -4*m**2 + 14*m - 14*m + p wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 77*q + 208. Let l be x(-41). Put 1, l, 19, -3 in decreasing order.\nAnswer: 19, l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*s + 31 = -1, -2*y - 5*s + 28 = 0. Calculate the least common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3072, 24346, 82112, 194622, 380128, 656882, 1043136?\nAnswer: 1557142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1204 + 42817\/301. Let y = z - 143. Is y smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.973 or 3\/107?\nAnswer: -9.973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 57 = 4*w. Let h = 1 - w. Calculate the highest common divisor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18208 by 569.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1161 + -1.11. Round u to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v**2. Let t(y) = -y + 1. Let x be t(3). Let h(g) = -g**2. Let m(o) = x*u(o) - 28*h(o). Let f(s) = 2*s**2. Determine f(m(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 14 + 14)*(-1 - 4 + 3) - 125*x - 158*x - 41*x.\nAnswer: -322*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**2 + 26*k**2 + 29*k**2 - 74*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222380143 or -222380145?\nAnswer: -222380145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23138?\nAnswer: 2, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -5.\nAnswer: -5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-4)*72\/(-18). Let m be 12\/32 - c\/16. Is -4 - (m + -78)\/4 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1618 and 264026858.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/3 and -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 90. Let c(t) = -t + 81. Let g(h) = 10*c(h) + 9*l(h). Let w(x) be the third derivative of x**5\/12 + x**3 - 3*x**2. What is g(w(i))?\nAnswer: -5*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -8077\nAnswer: -106\/8077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/((-2064)\/576).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95755615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540096 and 515070.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 21*r. Suppose -8*s - 8 = -r*s. Let f be s + (-16)\/(-28) - -1. Which is the third smallest value? (a) -6 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/(-15) + 1)*-3. Suppose 0 = -17*w + 26*w - 27. Which is bigger: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -388.3556 and 0.042?\nAnswer: -16.3109352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**2 + 2*b - 1. Give w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-4))\/(1 - 2). Let q be 11 - 8 - (-2)\/(-2). Suppose 3*l - l + q*i = -4, 5*i + 4 = -3*l. What is the closest to 1\/2 in 2\/5, a, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 487.6 - 487.8. What is the closest to -5 in r, 0, -16.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 - 8 - 2\/(-2). Suppose -d*j + 39 = -2*j. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 45*k**2 + 6*k + 1678. Give z(44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 0*h**2 + 1744 + 20 + 3*h**3.\nAnswer: 3*h**3 + 1764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29946 = 4*l - 24043 - 607. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 844 and 2321?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -4. Suppose 9 = 3*i + g, -5*i + 2*g = -3*i - 6. Let k be 32\/12*6\/2. Solve -4*a - m = -3*b, i*a - 2*a + k = 2*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -158 - -161. Suppose 7*k + 3*p - 1633 = l*k, 5*k - p = 2046. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12413223 (base 6) to base 13\nAnswer: -112c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 22*h**5\/3 - 62*h**4\/3 - 1090*h**3\/3 - 1186*h**2\/3 - 60*h = 0.\nAnswer: -5, -1, -2\/11, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 + 0*g**2)*(g**2 + 0*g**2 - 2*g**2) + 1 - 1 + 2*g**4 - 3*g**4 + 0*g**4 + 12*g**4 - 3*g**4 - 2*g**4 + 4*g**4.\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3578 (c) 8 (d) 2\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 8. Let p be o(-15). Let v = -93 + p. Let s(h) = 3*h + 1. Let i(c) = 8*c + 4. Calculate v*s(t) + 4*i(t).\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 47.24824 millilitres?\nAnswer: 0.04724824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2568 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 694668204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -2 (c) 4 (d) 2\/21 (e) -16 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 9*b**2 + 9*b - 6. What is k(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**3 + 187*l**2 - 16*l**3 - 155*l**2 wrt l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.644 - 18.644. What is the fifth biggest value in 33, -2\/9, 0.5, 0.2, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = u, -2*u + 22 = -0*g + 3*g. Suppose -2*d + 2*j - 1 = 1, u*j = -5*d - 5. What is the closest to -1\/3 in d, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22299 - 81?\nAnswer: 22218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 7. Let n = -9 - -4. What is the remainder when c(n) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnrnnninnjrn. Give prob of sequence rn.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285071829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*m - 1698300 = -195*m. Does 36 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620 + 172. Suppose -5*v + i = 4*a - v, a - 4*v = 213. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-231)\/(-14))\/(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Suppose -3*g = m*o - 233, -1 = 3*g - 10. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 507 and 273?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 511. Determine r(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5*m**4\/24 + 5*m**3\/6 - 2*m**2. Let v(f) = 16*f + 0*f - 2*f + 14. What is 8*p(j) - 3*v(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1045 and 656711?\nAnswer: 62387545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 22*p**2 + 13*p - 31. Let z be x(22). Calculate the greatest common divisor of z and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7453625\/18 - -414364. Let t be ((-22)\/8)\/((-2)\/200). Let j = v - t. Calculate the common denominator of -89\/6 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3. Suppose t - 1 - n = -2*j, -4 = -4*j - t. Let r be j + 0 + 9 + -2. What is the highest common divisor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11)\/((-176)\/46736) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2292, -5\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**2 + 32*v - 8. Let q be l(-16). Let d = q + -1021. Let s = 1 - 3. Which is the closest to s? (a) 3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*u**5 - 126480*u**4 - 812251*u**3\/2 - 650691*u**2\/2 - 48276*u - 1998 = 0 for u.\nAnswer: -2, -1, -3\/34, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 124280 + 10184 = 0. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-105)*(9\/(-12))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 5*n - 2. Give q(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1267 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1\/(-134)) + 3. Let a = 920\/7 + y. Let o = 2 + 0. What is the nearest to -1 in o, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.006259?\nAnswer: 0.006259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*a + 3. Factor 14*o**5 + 0*o + 0*o - 12*o**5 + a*o**4.\nAnswer: 2*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 7:11 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 5*f - 2 - f**2 + 4*f. Let z be x(7). Let l = 31 - 26. Solve 5*d = -z*m - 0*d - 15, 3*m - l*d - 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345017579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 + (3 - -3) + -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from yoliyioieoeyyiyyy?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 1 + -4 + sqrt(14)\/(sqrt(7) + sqrt(448)) + -5.\nAnswer: -8 + 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 10*p + 4. Let i be z(-11). Let v be (-12 + i)\/(3\/4). Let n(r) = 2*r + v - 8 + 4. Let l(t) = 9*t**2. Give l(n(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7304 is divided by 7180.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5*(-1*sqrt(11) + sqrt(11)) + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5574 by -6.\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -12, -48, -120, -240?\n\"Answer: -2*r**3 + 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**2. Let h(p) = -2*p**2. Determine h(u(i)).\nAnswer: -200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 12*b. Determine m(16).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 3*v**2 - 9. Let o(y) = 2*y**3 - 2*y**2 + 9. Calculate 5*o(h) + 4*t(h).\nAnswer: -2*h**3 + 2*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3851, -5, 3, 161 in decreasing order.\nAnswer: 3851, 161, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 9*r**2 + 4*r + 2. Let d(v) = -6*v**3 + 45*v**2 - 18*v - 6. Let q(y) = -2*d(y) - 11*k(y). Give q(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 2)*(-2*g + 2*g + 2*g) + 45*g - 108*g - 57*g)*(-1 - 3 - 1).\nAnswer: 580*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjjjjnjnjj. What is prob of sequence njn?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 302*l**2 + 22*l - 473. Is z(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3468 + 5125 - 2587)*(10*d + d - 3*d) to the form k + p*d and give p.\nAnswer: -7440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-6 - (3 - 21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -150157 minus -498?\nAnswer: -149659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -598 + 350?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -14. What is the least common multiple of 17 - (-1 + -1 - 1) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = 161 - 17 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:32 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 5*b - 1. Let f(s) = 2538*s**2 - 105*s + 21. Give 4*f(t) + 84*r(t).\nAnswer: 10320*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 75. Let s(i) = 16*i - 218. What is 4*s(u) - 13*t(u)?\nAnswer: -u + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -511*q - 1. Let b(v) = 4689*v. Give b(j(g)).\nAnswer: -2396079*g - 4689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143120 (base 6) to base 10.\nAnswer: -13656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1038 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -5, 3, 1 in ascending order.\nAnswer: -5, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 354 - 21. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 241119 + -34?\nAnswer: 241095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-18)\/(-16) - 1 - 9679635\/(-1512)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 625407\nAnswer: 26\/625407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 1) + (-43)\/12 and (-262)\/32 - (-2 + 0\/5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offof. What is prob of sequence ooff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427104780 to the power of 1\/2, to the nearest integer?\nAnswer: 37777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 126\/24 + 1\/(-4). Suppose -g = -2*r - 2*r - 3, 2*g + b*r = 6. What is the derivative of -4*j - 1265*j**3 + 1248*j**g + 12 + 4*j wrt j?\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 516, 1185, 2136, 3375, 4908, 6741?\nAnswer: 8880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/311161 and 2.69 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4070 + 3827 = 647*i - 12807 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + -1 - (-115 - -114)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 28*s - 221670 = 0. Suppose 17*b + b = s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.055018 kilograms in grams?\nAnswer: 7055.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 0*w**3 - 2*w**3 + w**3 - 9 + 6*w**2 + 0*w**3 + 2*w. Let d be j(6). What is the third derivative of -5*g**2 - 21*g**d - 2*g**4 + 21*g**3 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8061.7 - -8035. What is the closest to 1\/4 in m, -3, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36215 is divided by 7241?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/3 - 255226*v\/3 + 16285077769\/3 = 0.\nAnswer: 127613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -18, -0.1, 2, -2\/5 in descending order.\nAnswer: 2, -0.1, -2\/19, -2\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 50*t**2 - 94*t - 92. Determine n(48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(2992\/(-918))*4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 24. Calculate g(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 + -331. Let j = 80 - f. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3775136207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*u**4 - 17*u**2 - 29*u + 36*u**2 - 19*u**2 wrt u?\nAnswer: 216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 135.1371.\nAnswer: 405.4113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416138?\nAnswer: 2, 19, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1109 + -1101. What is the lowest common multiple of 2118 and t?\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 4*s + 1\/7*s**3 + 1\/35*s**5 + 0 - 1\/735*s**7 + 0*s**6 + 4*s**2 + 2\/21*s**4. What is t in v(t) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-210)\/49)\/(-10) - 2\/21. Factor a*v**2 - 2\/3 + 1\/3*v.\nAnswer: (v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 91907?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 5*r + 6. Suppose -2*i + 7 = -i. Let u be ((-2)\/3)\/(14\/(-147)). Let j(k) = -8*k**2 + k**2 - 8*k - k**2 + 2*k - u. Determine i*w(z) + 6*j(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(11) + sqrt(5) - ((sqrt(20)\/sqrt(4) - sqrt(5)) + 0).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m - 46. Let b be -5 + (-61)\/(-4) + (-24)\/(-32). Let x be j(b). Calculate the greatest common divisor of 60 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -24*s**2. Let y be w(-1). Let l = y + 38. Let r be (6\/(-3) - 0)\/(3\/(-168)). What is the greatest common divisor of r and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44407659.\nAnswer: 3, 37, 400069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. Find the first derivative of -1 + 3*m**2 - 3*m**2 - q*m**2 wrt m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let z(g) be the second derivative of 2*g**4\/3 - 163*g**3\/3 + 3071*g. Calculate z(d(s)).\nAnswer: 32*s**4 + 652*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -4*p - d + 13, -3*p - 12 = -4*d. What is the remainder when 197 is divided by -102*p\/72*(1 - -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63978108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -21, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/120 + g**5\/6 + 7*g**4\/24 - 2*g**2. Let h be m(10). Let q be 0 - (0 + -2 + h). What is q rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -301 + 468. Let s = -147 + i. What is the greatest common factor of 110 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*i = -17, 2*u + 47*i + 9 = 52*i for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 10) + (25 + -22 - (2 - (-27 - 0))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*n - 980, 5*w - 5*n - 253 = 4*w. What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/9 + 6\/9. Suppose -2*y + 141 = -z*y. Let q = -32 - y. Calculate the remainder when 44 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -4, 2\/83.\nAnswer: -4, -1, 2\/83, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:48 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/9)\/j*j**(-1)*j)\/((j**(-1\/18)\/j)\/(j**29\/j)))**(1\/4) assuming j is positive.\nAnswer: j**(173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*q - 26. Suppose -13*d = -q*d + 8. List the prime factors of 2\/d + 17 + 2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 506 (c) -1785\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16469117?\nAnswer: 7, 151, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from opoqooqqoppqhoqoq?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:36 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 482782\nAnswer: -193112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19925005 to the power of 1\/2, to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 55*y - 59*y + 13 = 0, 4*n = 2*y + 52 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1368 + 109. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 (base 15) in base 8?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*p - 13394 + 4097, -4*v - 3*p + 12395 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 7*u**3 - 9*u**2 + 4*u. Let p(b) be the first derivative of -2*b**4 + 10*b**3\/3 - 5*b**2\/2 - 4391. Calculate 5*k(q) + 4*p(q).\nAnswer: 3*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -200233 (base 7) to base 10\nAnswer: -33736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 1, x: 5, u: 1}. What is prob of sequence ll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -2, -0.2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 30 = i, -i - 3*i = -3*p - 99. What is the smallest common multiple of 3 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 12:28 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5)*((-240)\/(-12))\/(-2). Let y = -78 - -79. Which is the closest to y? (a) -28 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-350)\/(-28)*(-12)\/(-5) and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + 7*z - 6. Determine j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1782)*-1)\/(4*(sqrt(2)*1 + sqrt(2))))**2.\nAnswer: 891\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - 11*x + 1944. Let b(t) = -2*t**2 - 12*t + 1926. Give 10*b(u) - 11*i(u).\nAnswer: 2*u**2 + u - 2124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) + (-30360)\/(-70). Let b = t - 243. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1047? (a) 2\/3 (b) -3 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h, -4*l - 4*h - 1 = l. Let o be -1*(l - 2 - 0). What is the units digit of 21*2 - (o + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4166 divided by 4?\nAnswer: -2083\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 50 = 2*u. Let f = 26 - u. Let a = 27 - f. Calculate the remainder when 17 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 1355*v - 2690.\nAnswer: -5*(v - 269)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 2*v - 8. Determine c(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148557 or -2\/3?\nAnswer: -148557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -7*u**2 - 12*u + 4. Let o be m(-2). Put 15, o, -2 in decreasing order.\nAnswer: 15, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*t**2 - t + 30*t**2 - 4*t**3 + 9*t = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55, -177, -563, -1103, -1797, -2645?\n\"Answer: -77*q**2 - q + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 4*r - 4*r + (1 + 0 + 1)*(2*r - r + 0*r) + (366 - 366 + 588*r)*(1 + 0 - 3 + 2 - 1 - 2 + (3 - 1 - 1)*(4 - 3 - 3)) to p*r + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 8*w**2 + 2. Let h(o) = 2*o**3 + 17*o**2 + o - 3. Suppose 0 = -2*i + 3*d - 7, 3*d = -0 + 3. Let k(t) = i*h(t) - 5*b(t). What is k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-150)*5*(-2)\/7?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476 and 2688?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 20*h. Let i = 3 - 3. Suppose -3*r + 2*r + 7 = i. Let q(f) = -15*f**2 + r*f**2 + 7*f**2. Calculate q(j(z)).\nAnswer: -400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 - 2207\/7. What is the closest to -1 in -11, 1\/5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(5) - sqrt(40)\/(2*sqrt(8))) + (sqrt(10)\/sqrt(2)*1 - sqrt(5))) - ((sqrt(180) + 0)**2 + sqrt(1225)\/sqrt(5)).\nAnswer: -180 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w**2 - 2*w - 1. Let z be y(-2). Let i = -4661 + 4663. Factor -8*f - z*f**3 - f + 12*f**2 - 8*f**i + 8*f**2.\nAnswer: -3*f*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -48 (c) 26 (d) 4 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -5*n**4 - 11*n - 2. Let g = 12 - 6. Let l(j) = 7*j**3 + 4. Calculate g*x(f) + 17*l(f).\nAnswer: -f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 823 - 892.9. Let d = -12.9 - w. Let a = 42 - d. Put 0, -1, a in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3689.92944918 and -254.\nAnswer: -3943.92944918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f + n + 12, 3*n + 8 = 5*f. Suppose y + y = f. Solve 4*j - 7 = 3*j + 4*m, 6 = -y*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 8 = -5*h. List the prime factors of (3 - 7\/h)*(-18 - -116).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -724 + 727. Suppose -6*l - 17 = -10*l - x*r, -r = 5. Solve -3 = -g + 4*q - l, 0 = 4*g - 3*q + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1726, -1727, -1728, -1729, -1730, -1731?\nAnswer: -1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -280.2 * -0.4\nAnswer: 112.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86.4 - -21.8. Let b = -58 - -16. Let n = b - d. What is n rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 109 - 667*b - 36)*(-10 - 2*b + 10).\nAnswer: 1334*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/56*-9*(12 + -14 + 10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 4, i: 3, f: 1, a: 1, q: 1}. Give prob of sequence zq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -87. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d = -860 + 676 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {g: 2, c: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.46, 0.37, 4, 0?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away 19638.2?\nAnswer: -19638.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4 = -a. Let v be -2 + 16\/(-4) + 2. Let j be (5 - 1)*a\/v. Solve -j*g - 2 = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 + 12 = 0. Suppose 0 = -o - 4*o + 5*p + 35, 3*o - l*p = 26. Suppose -o = a - 5*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -23*w**2 - 2. Let d be s(2). Let i be (-3 - -4)*(2 + d). Let r = -64 - i. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 8, w: 2}. What is prob of sequence qs?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(17) - (sqrt(17) - sqrt(68) - sqrt(17)))*-6 + -5)**2.\nAnswer: 540*sqrt(17) + 49597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 126074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 - 4*w**2 - 3*w + 44. Let y(d) = 3*d**3 + 3*d**2 + 2*d - 44. Calculate 3*o(c) + 4*y(c).\nAnswer: 3*c**3 - c - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + g**2 - 1 - g**2 + 0*g + 0*g + (2*g**2 + 0*g**2 - g**2)*(2 - 2 - 2) - g**2 - 2 + 2 - g - 11*g**2 + 17*g**2 + 4*g.\nAnswer: 3*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21122 + -20120102?\nAnswer: -20212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 195073 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 343230*y**3 - 5885534465*y**2 + 164996839140*y - 1155448977620 = 0 for y.\nAnswer: -34337, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -51775*d - 2*d**3 + 103544*d - 51767*d - 1 + 5*d**2. Let x be 22\/(-4) - 2\/(-4). Let j(k) = -k**2 - k. What is x*j(i) - p(i)?\nAnswer: 2*i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 166 + 94. Determine b, given that -2*b - 20*b**2 + l*b**2 - 37*b**2 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22690 = 28*z - 47282. Let i = z + -1133. List the prime factors of i.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 11}. Give prob of picking 2 d and 2 y.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 795 and 20835095?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 722214.3 micrometers?\nAnswer: 0.0007222143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 26 = -2*p. Suppose 0 = -t - 5*k - 10, -2*k - 40 = -5*t - p. Suppose -4*d + 47 = -4*o - 1041, 2*d + t*o = 509. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-3) - (-1)\/(-3). Let b(l) = l**2 - 2*l - 1. Let n be b(-2). Solve -4*p - q = -n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s - 27 - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:35 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 774, 766, 750, 732, 718, 714, 726?\n\"Answer: s**3 - 10*s**2 + 15*s + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y + 6. Let o be ((-27)\/y)\/(1\/(-4)). Is 3 a factor of (-6)\/(-4) + (-27)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -3 + -22 + -36.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 20375 = 2182. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -0.09, 2\/59.\nAnswer: -0.09, 2\/59, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -7*g**3\/12 - 5*g**2\/4 - 3*g\/4 - 1. Solve c(z) = 0.\nAnswer: -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.6 (c) -1 (d) -21 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -4, -0.02, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 + 174*d**2 + 1400*d + 3031. Give q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 718\/14 - 4\/14. Let u = p + -254\/5. Let g = 0.3 + -0.8. Which is the nearest to 1? (a) u (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0286225 litres in millilitres?\nAnswer: 28.6225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -828.324 to zero decimal places.\nAnswer: -828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i. Let s be f(-20). Let w = -102 - s. What is the closest to -0.1 in 0, 3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 7. Let x be d(5). What is the greatest common factor of x and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + -3 + 3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010203023 - 103?\nAnswer: 1010202320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -200 - 22540?\nAnswer: -22740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -7c?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -508203bb?\nAnswer: -508203ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -36*q - 46 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*o + 19*o + 117*o - 8717 = 0 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:41 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6)*6\/(-4). Let q be d + (-284)\/(-1 + 3). List the prime factors of 4\/(-14) - 34881\/q.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5304106 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-1 + -1))*-1. Let d(s) = -2 + 5 - 1 + 5*s**2 - 1. Is d(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74098308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from kvmhqkkmhxhkxkqkxmh?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbdvbh. Give prob of picking 1 h and 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + -6. Let u = m - -17. Let b = 1.05 - 0.05. What is the closest to b in u, 1\/2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -41*n**2 + 39*n**2 - 2 - 3. Let c(u) = 2*u**2. Give v(c(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**2 + 48*k**2 - 25*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*105000\/1200*(-2)\/14?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**3 - 2*q**2 + q. Let x be b(1). Let w = 17 - x. Suppose 2*l - w - 22 = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.12973 + -269.82427. Let q = s + 0.454. Round q to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x**2 - 1. Let o be v(-1). Suppose r - 48 - o = 0. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.9 - -11.2. What is the second smallest value in -6, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**3 + 57*r**2 - 11*r + 2. Let w be v(5). Let a = 0 + 1. Sort -13, -2, a, w in descending order.\nAnswer: a, -2, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10731204?\nAnswer: 2, 3, 11, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5722, 1\/3, 0.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -277336 (base 9) to base 4.\nAnswer: -221112330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:18 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1289 + 3d?\nAnswer: 12c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2977 divided by -112405?\nAnswer: 2977\/112405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -259 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 38*y - 25530. Let t = -690 + y. Calculate the greatest common factor of t and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92907 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2858 from 315483.\nAnswer: 318341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/779154 and 79\/9580302.\nAnswer: 680201442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4946947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 39*y + 91. Let t be o(36). Solve -62*w = 13 - t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + h**4 - h**4 + h**3 - 2*h**4 + 4*h**4 - 3*h**4 + (-h - h + 4*h)*(-h**3 + 2*h**3 + h**3).\nAnswer: 5*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e8 - -b86ef?\nAnswer: b8607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5013 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 13. Let w(b) = 0 - 19 - 7*b**2 + 4*b**2 + 4*b**2 - 7 - 5*b. Let d = -5 - -3. Let g(x) = d*w(x) - 5*v(x). Differentiate g(z) wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87509\/406 + 1513\/7. What is the common denominator of -87\/10 and i?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*y - 5, -2*y - 17 = -3*q + 2. Solve q*n + 2*n - 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*x - 31805 - 2129 = 16 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -318.98378 - 8473307\nAnswer: -8473625.98378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 2, i: 7}. Give prob of picking 2 n and 1 g.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16582089 is divided by 49205.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g - 61. Let z be x(11). Is (-38 + 1)\/((-5)\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(7) + sqrt(35)\/(sqrt(5) - sqrt(405)))**2 + 3 + (-5 + sqrt(343) + 4 + sqrt(343))**2.\nAnswer: -53*sqrt(7) + 93463\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-234)\/2496*16 + 29\/18\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22182.\nAnswer: 2, 3, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 46 + 16. Calculate the highest common factor of b and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:53 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 79*z - 83*z = 19, -2 = 2*o + 2*z. Solve 4*s - 3 = -5*h + 3*s, o*h = -s + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.045 - -8.555. Let q = x - 4.6. Sort 0.8, -0.1, q.\nAnswer: -0.1, 0.8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 11*n. Suppose n = 4*t + 12, 3*c = 2*c + 4*t. Let r = -7 - c. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 187*r + 46. Let u be b(-2). Let n = 615 + u. Calculate the highest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-5 + 3 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5122 - -5122.00000024875. What is n rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3802 + 39920 = -74*w + 428744. What is the smallest common multiple of w and 4257?\nAnswer: 46827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 47*r - 1742. What is k(37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 7:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/159 and 95\/12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1444*v**3\/5 - 285684*v**2\/5 + 3532896*v - 323710992\/5.\nAnswer: 4*(v - 33)*(19*v - 1566)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/182 + (-6)\/21. Let d = -4\/81 - 118\/891. Which is the third smallest value? (a) d (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6994*j + 0 + 3 - 2630*j - 3 to the form l + a*j and give a.\nAnswer: 4364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*3\/6)\/((-25)\/(-146275)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5292 + -99402.7715.\nAnswer: -94110.7715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5544333.\nAnswer: 5544333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 5*f - f - 7*f + 0*f)*(17 + 2 - 5) - 2*f + 3*f + f as p*f + u and give p.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -684?\nAnswer: -684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.37, -4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1\/z*z)\/z)\/(z\/(z**(7\/10)\/z*z)))\/(z\/(z\/(z\/((z\/(z*z*z**4))\/z)))*z**(5\/2)*z*z) assuming z is positive.\nAnswer: z**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**5 + 16*f**4 - 16*f**3 - 8*f**2 + 20*f - 8 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 - 15*h**2 + 2*h - 4. Calculate w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2494 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 - -271. Suppose 4*f = 5*f - 2. Is (v + f - 1) + 224 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - ((-7 - -7) + 9)) + (13 - -2) + -51?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66484800 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11415979363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31663, 2\/7, -1?\nAnswer: 31663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = -a - 86, 0 = -c + 3*a - 15. Let p = -12 - c. Solve -5*d = 6 + p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**6\/20 + 3*r**4\/4 + 2*r**3 + 9*r**2\/4 + 9*r. Factor u(t).\nAnswer: -3*(t - 3)*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -426, -4 in increasing order.\nAnswer: -426, -4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 8:41 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 12*w**2 + 15*w - 6. Let c be ((-208)\/(-4))\/4 - 0. What is the smallest common multiple of 10 and g(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlrlllrlrlllll. Give prob of picking 2 r and 1 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:53 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287.15 - 286.15. Put n, 12, 3\/7, -0.3, 7 in descending order.\nAnswer: 12, 7, n, 3\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6808270 is divided by 148?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49397 - 26652. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 15 + 3)*(-1 - 57*z + 106*z - 51*z) to the form j*z + m and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 3*n = 70. What is the remainder when 60 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/((sqrt(40) + (sqrt(360)\/sqrt(9) - sqrt(40)))\/sqrt(4)) + 3 - ((sqrt(1216)*-1)**2 + sqrt(1216) - 3*(sqrt(19) + 5)**2)) + 0.\nAnswer: -1081 + 23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 12:30 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 283*q**2\/4 + 24640*q + 1521575.\nAnswer: -(q - 503)*(q + 110)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 1*(-383)\/(-380). Let o be 2\/(-6) + (0 - (-8547)\/380). Let c = o - x. What is the common denominator of 53\/20 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-21)*18 + 6. Let x(m) = m**3 + 2*m**2 - m + 1. Let j be x(-3). What is the second biggest value in 49, n, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1249111nm to centimeters.\nAnswer: 0.00000001249111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5824 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + -658?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/((-2)\/(-5))*1272\/2112*-22.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57205.53 years in millennia?\nAnswer: 57.20553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(3 - 5)*8\/16. Suppose -4*m + 0*m - g*m = 0. Solve -l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3b97848 (base 12) in base 10?\nAnswer: 11895032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111010100 - 101110111?\nAnswer: -1011101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 25, 1139 in ascending order.\nAnswer: -5, 2, 25, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987635.\nAnswer: 5, 11, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12228 and -224802044.9.\nAnswer: -224814272.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46783859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/2 (b) 65\/4 (c) 1 (d) -126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 12908.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -174*d + 99*d + 2*d**2 + 16*d**2 + 5 + 75*d. Let s(t) = -9*t**2. Give s(c(y)).\nAnswer: -2916*y**4 - 1620*y**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71.5 + 134.8. Let x = -63 + o. What is the biggest value in -0.1, x, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10. Let n(z) = -21*z + 5. Let w(m) = 41*m - 11. Let x(r) = -13*n(r) - 6*w(r). Is x(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 3*c**2 + 3*c + 4. Let u be m(3). Suppose u = -3*q + 4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2745 - -2745.00008525. What is g rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 + 1601\/13. Let u = -0.52 - -0.92. Which is the nearest to 2\/3? (a) -2\/5 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**2 + 0 + 3 - 9*s**2)*(2 + 2 - 2)*(2*s - s - 3*s).\nAnswer: 72*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1802, 6185, 13486, 23705, 36842, 52897?\n\"Answer: 1459*q**2 + 6*q + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 7, -18\/5, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78296*b**5 + 44*b**4 - 9*b + 1020061?\nAnswer: 1565920*b**3 + 528*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**2 + 119*s + 625. What is u(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.94 - 5. Let m = -1.94 + s. Which is the nearest to -2\/7? (a) 3 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:08 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*t = -5*t - 12, 5*n - 4*t - 20 = 0. Let o = 107 + -102.3. Let k = 4.3 - o. What is the closest to 0.1 in k, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3128\/483)\/(-17))\/(4\/6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 114010\/(-11375))\/(((-1)\/(-5))\/(12\/24)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -n + 7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10887620 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: Collect the terms in -94 + g**3 + 94.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1. Let l(v) = -v + 2. Let w(d) = 3*l(d) - 4*z(d). Determine w(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21996190?\nAnswer: 2, 5, 503, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.137 and 202473515?\nAnswer: 202473515.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 84759 + 3*m - 84493 in the form h*m + p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.868 and 6?\nAnswer: -11.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**4\/12 - 8*f**2. Let n be u(-10). What is the highest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0 (b) 0.32 (c) 3 (d) 2\/199 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (-3 - -2) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w**3 + 1. Let j be o(-1). Let h be 9\/12 - (-267)\/12. Let c = h - j. Solve -c = 3*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Solve 2*b + 2*f - 8 = 4*b, -i*b + 3*f = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5 - 5 + (0 - r + 0)*(-7 + 2 + 3))*(4*r - r - 4*r)*(5*r**3 - 10 + 10).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5376.4 - -5376. What is the biggest value in 2\/73, -0.1, -1.9, 0, j?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:52 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44\/12 + 2\/(-3). Let k(y) = y. Let p(h) = h**3 + h**2 - 5*h + 2. Let b(f) = 6*k(f) + p(f). Let z be b(0). Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**3*l**2*x**3 - 351*k**3*x**3 - 6*k**2*x - 2*k*l*x**3 + 11*l**2*x + 2*l**2 + 3*x**3 wrt k.\nAnswer: -24*l**2*x**3 - 2106*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.0477\nAnswer: 0.0954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10308*t + 10307*t = -p - 7, 2*t = p + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5 - 1012*c**4 + 27278*c**3 - 204728*c**2 + 331680*c - 153216 = 0.\nAnswer: -532, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*p - 101*p + 19*p + 140*p in the form t + v*p and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 100, 234, 432, 700, 1044?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2. Let t be 140\/6 - (-7)\/(-21). Let r(u) = 48 - t - 25 - 19*u. Calculate r(h(o)).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 98.57006l?\nAnswer: 98570.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from ccncllclcccllllcbl.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 3*a + 1018, -1006 = -4*y + 3*a. Is y smaller than 252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 - (4 + -6)\/1. Sort -3, 0, t, 3.\nAnswer: -3, 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - 4*j, -3*r - 5*j = 1 - 2. Let i = 13 + -8. Solve 0 = -g + r*g + i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjvr when four letters picked without replacement from {j: 3, a: 1, r: 1, v: 1, f: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1462 and 2.\nAnswer: -2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 35 = 4*q, -6 = -2*q - c + 19 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 0*f + f. Let d(a) = 21*a. Give z(d(t)).\nAnswer: 63*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 224*h + 1289. Is i(45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k + 2. Let g be q(4). Let n = g + -1. Let z = n + 1. Which is smaller: 1\/2 or z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585360327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/11 + 448*i**3\/11 + 25088*i**2\/11.\nAnswer: 2*i**2*(i + 112)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 10624 and 10674 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44\/5*p**4 + 32\/5*p**2 + 0*p + 8\/5*p**5 + 0 + 8*p**3 = 0. Calculate p.\nAnswer: -1\/2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -0.9 (c) 141 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1340, -1978, -2618, -3260?\n\"Answer: -g**2 - 635*g - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 - 2*r + 1. Let d be o(1). Suppose -l + 4*a = -28, 2*l - d*a - 36 = -a. Solve -4*j - 8 - 4 = -w, -l = -5*w + 4*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.3073 years to decades.\nAnswer: 62.73073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.785918 rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -23734712909836.\nAnswer: -23734712909840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1716, 5 in decreasing order.\nAnswer: 1716, 23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.17, 2\/9, -26, -3 in ascending order.\nAnswer: -26, -3, 2\/9, 5.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1065*m + 56423. Give d(-53).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 245339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 454205*y. Let o(z) = 443*z. Calculate o(j(c)).\nAnswer: 201212815*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6072851.\nAnswer: 23, 229, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4515.602 millilitres?\nAnswer: 4.515602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 28. Let p = 10 + d. What is the third derivative of -3*n**3 + 6*n**2 + 2*n**3 - n**p - 2*n**3 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:14 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -29*r**2 + 4216830*r + 290816 = 0.\nAnswer: -2\/29, 145408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -7019.\nAnswer: 4\/7019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(684)*-2.\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10641393 by 3.\nAnswer: -3547131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 31735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358, -1096, -3108, -7030, -13498, -23148, -36616, -54538?\nAnswer: -77550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = 3*v. Let t be (8\/(-2) - -3) + 5. Does 18 divide (v\/3)\/(t\/54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*j - 68 + 9, -5*k + 53 = 3*j. Suppose j = -5*m - 29. List the prime factors of (-21)\/m*3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 + m**2 - m. Suppose 58 = 24*u - 806. Let i be u\/6 - (-1 - -4). Let c(n) = -34*n**3 - 4*n**2 + 4*n. What is i*c(t) + 14*p(t)?\nAnswer: -4*t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + 4*2*sqrt(14))\/sqrt(2).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**12)\/(j**(7\/5)*j)*j*j\/(j**(-2\/47)*j)*j*j**(-9) assuming j is positive.\nAnswer: j**(-4784\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*v + b, -15 = -5*b - 0*b. Let m(g) = g**2 + 11*g + 30. What is the lowest common multiple of m(-10) and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 25. Let c be z(-3). Suppose -5*b = -3*q - c - 14, -32 = -4*b + 2*q. What is the remainder when 17 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 16 = -7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 2:19 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose -4*j + 5 + 7 = h. Let f be (-28)\/(-6) + (-2)\/3. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89470, -90408, -91346, -92284, -93222?\n\"Answer: -938*g - 88532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21625 + 21788. List the prime factors of p.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(1 - 5 + 1)*(1 - 1 + 3*r) to the form w*r + j and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2664024\/9)\/4 + (-10)\/15. What is o rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 7*c**2 + 17*c + 10. Let l be -1 + 9\/(-2)*(-15 - -13). Does 6 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*y, 5*d - 3*y + 15 - 50 = 0. Suppose d*m = -j - 0*j - 136, -68 = 2*m + 2*j. Does 17 divide (-1 + 5)*m\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163382.\nAnswer: 2, 3, 11, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8 - 4. Let f = 17 - 8. Suppose -33 = -y*g + f. What is the least common multiple of g and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 7869008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56218, 224861, 505934, 899437, 1405370?\nAnswer: 2023733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1516992 = -179*p + 2890704. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2321120220?\nAnswer: -2321120231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/38, 0.2, 27\/4?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -11*t**3 + 2*t**2 - t. Let d(h) = 10*h**3 - 3*h**2. Give -2*d(z) - 3*o(z).\nAnswer: 13*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xvvvvx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3364, -3357, -3336, -3295, -3228?\n\"Answer: j**3 + j**2 - 3*j - 3363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 40*y + 839. What is the remainder when 232 is divided by w(-20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 1. Let p = 11705\/11 - 1063. Let y = p - 37\/44. Which is the closest to y? (a) -2 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1191723 not equal to 392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 9333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.56 - 14.5. Let r = n - -1.94. Let j = -5.53 - -0.53. Which is the closest to -8? (a) j (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 10199 + 10215. Let j(c) be the second derivative of 15*c + 0*c**2 - c**5 + 5\/6*c**3 + 0 + 0*c**l. Find the second derivative of j(s) wrt s.\nAnswer: -120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:45 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 2700*c**3 + 23936*c**2 + 26640*c.\nAnswer: 4*c*(c - 666)*(c - 10)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01026376752 to 6 dps.\nAnswer: 0.010264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 66 = 0. Suppose 0 = 4*u - 11*u + 14. Suppose 0*h + z = u*h. Solve -3*p + 0 = -2*t + h, 4*t - 3*p = 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(288)*6 - sqrt(288)))\/((sqrt(2187)*-1)\/sqrt(3)).\nAnswer: -40*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p + 1. Let o(t) = -t - 1. Let f(k) = 4*k. Let m(a) = -f(a) + o(a). What is -5*m(b) - 3*w(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8764.078 litres to millilitres.\nAnswer: 8764078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 128?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/146743 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2856 and 10472?\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57 + 1539 - 650*y**2 - 124*y**2 + 134 + 299 wrt y.\nAnswer: -1548*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5070578.8 to the nearest one thousand.\nAnswer: -5071000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(1300) + 1 + 5 + sqrt(1300) + sqrt(1300) - sqrt(1300)) + sqrt(1300) - 1*(sqrt(1300) + -1)) + -5)**2 + -2) + 3.\nAnswer: 160*sqrt(13) + 10407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109575 and 3775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 - 16*t - 7. Let x(h) = -31*h**2 - 64*h - 27. Let k(u) = 9*r(u) - 2*x(u). Give k(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c - 4. Let j be ((-9)\/18)\/(2\/28). Let o = -7 - j. Solve o = 2*q + q - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5829 and 490253874?\nAnswer: 5829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -11. Suppose -2*d + 10*d = f. Suppose d*z - 513 = -7*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 1098 = -97*f + 91 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1640, 1283, 662, -229, -1396, -2845, -4582?\n\"Answer: -w**3 - 126*w**2 + 28*w + 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6818857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11424? (a) 0.3 (b) -1 (c) 122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.02. Let k = -0.2 + 0.1. Which is the closest to 1\/4? (a) -2 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0485389 rounded to four dps?\nAnswer: 0.0485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)*h*h\/h**(-4)*(h**5\/h)\/h*h**(-12\/7)\/h)**(4\/7) assuming h is positive.\nAnswer: h**(169\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, u: 5, z: 7}. What is prob of sequence uu?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 804 from -2681387565.\nAnswer: -2681388369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from yyywpyyywdwwwwwgdwwy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 3:02 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -4*v - 0*v. Let z be (19*(-5)\/15 + 5)*-12. What is the greatest common factor of v and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 66 = 400. Let f = 172 + d. Calculate the least common multiple of f and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2336941 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 226253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38132695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and 16.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -486\/355?\nAnswer: -486\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.08 + -7.07683.\nAnswer: -16.15683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1606\/3 + -532. Solve -1\/3*x + x**5 - o*x**3 + 4*x**2 - 2\/3 - 2\/3*x**4 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1323 in -0.1, -0.02, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 2*o - 7*y - 8, 4*y = 4*o - 4. Calculate the smallest common multiple of (4\/(-3))\/((-2)\/12) and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 2. Let x(s) = -11*s - 12*s - 10*s - 11*s + 38*s. Calculate o(x(b)).\nAnswer: 24*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 39166*y + 5366820.\nAnswer: 2*(y - 19445)*(y - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.87279*2342\nAnswer: 2044.07418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*u, 2*x - 16 = -u - u. Suppose x*h = 92 - 8. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 9. Let c be x(-8). Suppose -6 = -5*z - c. Solve 3 = h - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/20*3)\/((-15)\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 11*z**2 - 9*z - 6. Let k = 47 + -40. Is w(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let u be 918\/(-714)*(-7)\/3. Put 2, 12, q, u in decreasing order.\nAnswer: 12, u, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 39.66?\nAnswer: 198.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36987, 74864, 113651, 153354, 193979, 235532, 278019?\nAnswer: 321446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153 - -3?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**3\/3 - 12. Let s(r) = 1 - 4*r - 1. What is s(o(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-486 - 59*n + 486)*(-422*n - 3 + 11 - 3 - 5).\nAnswer: 24898*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 46064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182*u - 3189 - 1945 + 16743 = -10849 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-13)\/13*2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*8\/(-12)*231\/(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l - 26*l + 31 - 32 - 23*l - 21*l. Let a(u) = -8*u**2. What is i(a(j))?\nAnswer: 624*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**6\/210 + r**4\/28 - r**3\/21 - 136*r - 48. Let l(c) be the first derivative of q(c). Factor l(j).\nAnswer: -j*(j - 1)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -37, 0.2, -17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 86*s**2 + 131*s**2 - 164*s**3 + 160*s**3.\nAnswer: -4*s**3 + 45*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/180 - s**5\/120 + s**4\/24 + s**3\/36 - s**2\/6 + 7*s. Solve d(x) = 0 for x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24280, -24284, -24280, -24262, -24224?\n\"Answer: q**3 - 2*q**2 - 5*q - 24274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oii. Give prob of sequence ii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1435.20364 + 0.0565?\nAnswer: -1435.14714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a**3)*(0*a**2 + 0*a**2 + 2*a**2) - 1108 + 12*a**4 + 1106 - 19*a**4 + 21*a**5.\nAnswer: 17*a**5 - 7*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (-1 - 49\/7). Let s be n\/3 + (-184)\/(-12) + -8. Let r(m) = 5*m**2 - 5*m + 14. Let t(p) = 3*p**2 - 3*p + 9. What is s*t(c) - 5*r(c)?\nAnswer: -c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5779.202 millennia?\nAnswer: 577920.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 + 1628*s**2 + 6101000*s + 12195456 = 0 for s.\nAnswer: -1047, -2, 1456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -121, -678, -0.2?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 + 14*w - 5*w + 5*w.\nAnswer: 14*w + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1134100 (base 5) to base 14.\nAnswer: -79ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - j + 17 = 0, 12 = 236*z - 234*z + 4*j. Solve -3*v - 5*i + 37 = -0*v, -5*v - z*i + 40 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 + 11 = 0. Suppose 2*q - w*q + 4 = 0. What is the second derivative of 2*k**2 - k**q + 3*k - 2*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 621, 617, 615, 615, 617, 621?\n\"Answer: k**2 - 7*k + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3 + 6, 4*d - 2*x = 16802. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 2*i + 3*i. Let h(g) be the third derivative of g**6\/180 - 2*g**3\/3 + 2*g**2. Let q(s) be the first derivative of h(s). Give q(w(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7491004480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*l - 139*l - 2504*l as y*l + w and give y.\nAnswer: -2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 25*z + 203 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0\/5)\/7)\/1. Suppose k = -8*m - 2*m + 7590. What are the prime factors of m?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5798 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 - 16*g - 95. What is the units digit of m(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51108 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -85228, -340938, -767120, -1363774?\n\"Answer: -85236*f**2 - 2*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**2 - 18*b**2 - 11*b**2 - 7*b**2 - 10*b**2 + 53*b as m*b + o*b**2 + l and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1663134, 1663141, 1663148?\nAnswer: 1663155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -x - 18, -8*x - 2 = -2*x + 2*c - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(14\/(-154) + 13\/22). Let i be ((-40)\/100)\/(2\/m). Solve -3*z + r = -i, 0*r = 2*z - r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/20 - f**4\/4 + f**3 + f**2\/2 - 2763*f. Determine h(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/27 (b) 6\/53 (c) -4 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, -96, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -39. Let b be ((-2)\/4)\/((-1)\/z). Let s be (-279)\/2*(-100)\/b. Round s to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*j + 10, j + 3*i = -0*j - 1. Suppose 5*n - n + 48 = 4*l, -24 = -2*l - j*n. What is the remainder when 23 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 428998340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -157, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4 - 4*h**4 + 25*h**2 + 9*h**4 + 0*h**4 wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/(d**(-2)\/d*d) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 10*t**2 - 10*t + 3. Let b be n(-9). Solve -2*h - b = -2*c, 0*c + 3*c - 4 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3420 (base 7) to base 11.\nAnswer: a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*p**3 + 382*g*p**2 - 3332*g + p**3 - 4*p**2 - 16526*p wrt g?\nAnswer: 2*p**3 + 382*p**2 - 3332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130823056870.7999988 - -130822995965. Let f = -60906 - x. Let s = f - -0.2. What is s rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 284269\/55 + -26439\/5. Which is smaller: h or -118?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*r + 4*l, 0 = r + l - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -347.384 + 348. What is the second biggest value in i, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -888210 < -888273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b - 42*b + 15*b + 11*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1189*u + 391. Let y(l) = -251*l + 78. What is -3*g(w) + 14*y(w)?\nAnswer: 53*w - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(88) + sqrt(88) - sqrt(88) - sqrt(88)))\/(sqrt(48)\/sqrt(54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/((-15)\/50). Which is the third smallest value? (a) 0.1 (b) q (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33279616, -33279615, -33279614, -33279613, -33279612, -33279611?\n\"Answer: c - 33279617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*10\/(-18)*(-318)\/(-265)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179935 and 114268?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 5:53 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3378 + 3379. Is 56\/169 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54474, 54475, 54476, 54477?\nAnswer: 54478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 32. Find c, given that -7*c**2 + 3 - 11*c**2 + c**d - 1 + 16*c**2 - c = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)**(-2\/59)\/((d**6*d)\/(d\/(d**(-15)\/d)*d)))**(2\/29) assuming d is positive.\nAnswer: d**(1302\/1711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**2 - 7*z**2 + 23*z**2 + 9*z**2 - 6*z + 8. Let u be t(2). What is the greatest common divisor of u and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -504*l**5 - l**4 - l**2 - 209*l?\nAnswer: -30240*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 + c**4\/6 + 5*c**3\/6 - 2*c**2. Let h be m(4). Solve h*i - 3 = 6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005648909 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(-1*sqrt(8)*1))**2 + -2 + -3 + 1*(sqrt(2)*1)**2 + (sqrt(2) - sqrt(242)*2).\nAnswer: -21*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9164 + -8467. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1466 divide 247817038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 - f + 201 - 179 to r + y*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2. Let d be -4 - (-7 + 0 + -4). Determine t(d).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*u - 116 = -173. Suppose u - r + 1\/4*r**2 = 0. Calculate r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, -5, -8 in ascending order.\nAnswer: -19, -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 51 + -27 + -6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Let t = -9 - -8. Calculate the remainder when 41 is divided by (-195)\/26*a*t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + 0.2. Let u be (-1 + 1)\/(-5 + 7). Suppose 0 = d - 4*n + 10, 5*d - n + 1 - 8 = u. What is the third biggest value in d, f, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 65 + -55 + 1 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 39 + 21. Let v(t) = 2*t**2 - 5*t - 12. Let w be v(b). Let x = -30 + w. Let s(p) = p**3 + p**2 - p - 15. Determine s(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1838 + -1846. Let y(t) = t**2 + 9*t + 11. What is y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 7 = -m. List the prime factors of -2 + m + -1 + 65.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 10) to base 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 846*a**3 - 4*a.\nAnswer: 846*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*u - 104*u - 414. Let f = u + -202. Solve 0 = -4*h - f*w + 37, -3*h + 2*w - 25 = -8*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c**5*n + 5966430*c**2*n - 71*c*n - 467*c - 13*n - 1 wrt c?\nAnswer: 100*c**3*n + 11932860*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10567, 42121, 94645, 168139, 262603?\n\"Answer: 10485*h**2 + 99*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:43 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 13. Let c be r(-7). Suppose -m = 5*w + 5, -2 = -m - 3*w - 7. Let x(n) = 8*n - 6. Let u(v) = -7*v + 5. What is c*u(l) + m*x(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngnn. What is prob of picking 1 n and 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 27*b - 591. Let o(u) = -7*u + 148. Let q(i) = -15*o(i) - 4*s(i). Is 18 a factor of q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 1, q: 2, z: 4}. What is prob of picking 2 q, 1 b, and 1 w?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6112138.\nAnswer: 2, 3056069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*r - 267 - 11 = 0. Let w(v) = v**2 + 2*v + 3. Let l(g) = -145*g - 9 - 3*g**2 + 139*g - 1. What is r*l(o) - 7*w(o)?\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w. Let k be c(-3). Let o be ((-1)\/(-1))\/(k\/12). Suppose -4*a = -3*z + 283, 6*a = -o*z + 3*a + 200. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4511 + -105?\nAnswer: -5020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i + 1. Let u be (-13)\/4 + (-3 - (-39)\/12). Let x be 3 - u\/((-90)\/87). Which is greater: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.83 - -14.23. Let d = f + -2.4. Let z = d - 11.05. What is the third smallest value in -1, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48764784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 + 9*y + 9. Let r be b(-8). Let i(l) = 54*l - 10. Let p(m) = 18*m - 3. Let v(h) = -2*i(h) + 7*p(h). Give v(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 233 = -5*u - 43, 4*t - 8 = 0. What is the smallest common multiple of 20 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017166 divided by 74?\nAnswer: -27259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 25296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5576, -11151, -16728, -22307, -27888?\nAnswer: -33471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(-1*sqrt(128)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -130526?\nAnswer: 130526.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*m + 8 = -7, -15 = 3*r - 3*m. Calculate the least common multiple of 9 and (-45*1)\/((-28)\/(-8) + r).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 558973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 633084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*p - u, 2*p + 2*u - 18 = -2*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 15. Let j be g(9). Suppose 2*i + 5*m = 35, 0 = -3*i - 0*i - m + j. Calculate the remainder when 19 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*h + 3, 0 = 4*j + 6*h - 2*h + 4. Suppose j*l = 3*l - 6. What is the second derivative of 3*g**2 + 0*g**l - 4*g**2 + g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 + 0)*(-11 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338245781 to the power of 1\/2, to the nearest integer?\nAnswer: 36582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*l, -2*a - 40 + 18 = -5*l. Calculate the remainder when -11*(-2)\/(-2)*-1 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 6*y - 4. Let h be t(4). Let x = h - -92. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514704.9514 rounded to the nearest 100?\nAnswer: 514700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p - 3*p + 162 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -5738\/709?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(3 + -6 + 2). Solve 16 = -q*r + 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 22, -27 in increasing order.\nAnswer: -27, -5, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 - 2*k + 1. Let r be i(1). Suppose -5 = -4*t + r. Find the third derivative of 3 - 3 - 2*s**5 - s**t wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1708 and 116571.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 441703 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5740)\/84*(-24)\/80*-2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {y: 3, i: 4, l: 2, f: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let q(k) = 5*k + 5. Let y = -1 - -12. Suppose 0 = 3*v - 3*r + 6 + 3, y = -5*v + 3*r. Let x(n) = -1. Let z(i) = v*q(i) - 5*x(i). What is z(b(f))?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/1291 (b) 2 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -5*w + 28, 5*j + 49 = -3*w. Solve 8\/7 - 16\/7*u - 6\/7*u**3 - 22\/7*u**w = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*3*(84\/27 - 3). Let q(i) = v*i + 10*i - 9*i. Let u(l) = 8*l**2. What is q(u(z))?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*y - 443, -2*y + 6*y = -3*b + 1329. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 27\/235217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139629*d = -139457*d - 2580 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x - 24006 + 23572 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -213450?\nAnswer: 213435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-20)*4\/3. Let p(d) = -d**2 + 5*d + 6. Let v be p(6). Which is the smallest value? (a) j (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547005373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30 + 16 = -3*b, -4*b + 23 = j. Let a = 17 + -12. Solve -3*x + a*o - 14 = 0, -4*x = -o + 2*o + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 9*p**2 + 7*p + 6. Let h = 409 + -417. Give o(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(2\/((-27)\/((-54)\/4))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 9 + 14 - 20 + 8.\nAnswer: -9*a + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 5*c - 6. Let b be s(-1). What is the third derivative of 6*g**3 - 43*g**3 - 64*g**2 + 92*g**b + 61*g**3 wrt g?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1244, 2, 3\/4, 1, 0.1, 0.3 in descending order.\nAnswer: 1244, 2, 1, 3\/4, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 19 - (-8 - 2 - (-20 + 14))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*h - 8 - 28 + 36 - 2581*h to the form d + y*h and give y.\nAnswer: -2845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19393 and 28853?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 21*d + 92. Suppose -5*r - 4 = -3*r, 2*j + r - 50 = 0. Is 18 a factor of o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -74\/475?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**3\/3 + 4*l**2 - 21*l - 27. Does 4 divide i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5616\/(-891) - (-2)\/3. Let f = 1032\/187 + v. Which is bigger: f or -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**3 - 14*s**2 + 0*s**4 + 2\/15*s**5 + 0 + 0*s. Let m(q) be the third derivative of q**4\/6 + q**2. Calculate m(j(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6041.383nm to micrometers.\nAnswer: 6.041383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 18 + -10 - (-68 - -2)) + -6.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -17) + (-648 - -634)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:51 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + (25 - 30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) 215\/3 (b) 5 (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2196 (base 14) to base 9.\nAnswer: -7872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**5\/55 + 29*o**4\/22 + 256*o**3\/33 + 12*o**2 - 3816. Find i such that f(i) = 0.\nAnswer: -2, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 320*a - 315*a - 2*j - 411, 3*j = 4*a - 319. What is the lowest common multiple of 22 and a?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**3 + 12345*u**2 - 38093583*u - 38105929 = 0?\nAnswer: -1, 6173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.23 + 0.23. Let t = g - -38. What is the third smallest value in 0.5, t, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 - 1676*w - 9757. Give y(-6).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76941 + 25772. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -14)*3\/36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**4\/3 - 6*g**3 + 28*g**2 - 499*g. Factor k(p).\nAnswer: 4*(p - 7)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 + 2 = 0. Suppose o + s = 0, -4*g + 119 = 5*o + 42. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-4) + (-6)\/4 + -7. Sort -4, 4, f in ascending order.\nAnswer: f, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**4 - 2*l**2 - l - 1. Let b(u) = -2*u**4 + 4*u**3 + 20*u**2 - 14*u + 2. Let z(n) = b(n) + 2*t(n). Factor z(q).\nAnswer: -4*q*(q - 2)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1890*h**2 + 41*h - h + 946*h**2 + 946*h**2 + 76*h as o + l*h + r*h**2 and give l.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16*a = 650 - 665. What is the closest to 0.1 in a, -3\/320, -0.5?\nAnswer: -3\/320","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 5, 2\/9, -139 in descending order.\nAnswer: 5, 1, 2\/9, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 4*f + 19 = 20*r, 0 = -2*r + 4*f + 14. Put -1, 4, r, 0, -2 in increasing order.\nAnswer: r, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**4 - 61*q + 0 + 0*q**2 - 1\/10*q**5 + 19\/6*q**3. Find the second derivative of c(z) wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**13\/u)**(2\/13))**(1\/2) assuming u is positive.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**2 + 20*m + 62. Give v(-4).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14098 and 24408673?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 823293*v**2 + 16465560*v - 82327300.\nAnswer: (v - 823273)*(v - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4065 = -100*m + 3465 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-6)\/144 + 29133\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -161. Let o = l + 114. Sort 0, 3, o, -2\/5 in descending order.\nAnswer: 3, 0, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 take away -0.812494650629?\nAnswer: 1452.812494650629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.438104 minutes to seconds.\nAnswer: 146.28624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 3. Let w be l(-4). Let m = 0.2 + -0.3. Let n = -913\/8 - -114. Put w, n, m in descending order.\nAnswer: m, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8 and 65\/324.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -11 - (7 - -10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42290 + 42289. Let s(i) = i**3 + 8*i**2 + 5*i + 2. Let u be s(-6). Which is the closest to 4? (a) g (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 12. Let y(x) = -x**2 + 11*x - 23. Let m be y(7). Solve 4*c - 28 = -m*q, 2*c - t = -c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 - 4\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*p + 5*g = -20, 12 = -3*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(7*o**2 - 3*o**2 - 3*o**2) + 2*o**2 + 0*o**2 + 0*o**2 + o**2 + 2*o**2 - o**2 + (-o**2 + 0*o + 0*o)*(2 + 2 - 5).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6015 (b) 11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22081.74km to nanometers.\nAnswer: 22081740000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 4:12 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*3\/(-2)*(-7)\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/63062147 and 7\/50104?\nAnswer: 504497176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-105) + (-64)\/(-3). What is the greatest common factor of 24 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51225, 93928, 136631, 179334, 222037?\nAnswer: 264740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.0672377 + -0.1.\nAnswer: 14.9672377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*l - 1\/7*l**2 + 2\/7.\nAnswer: -(l - 2)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -454. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - ((-12 - -13) + (1 - 33)). Let f = v - 27. Solve 6*r - 2*r - f = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2*11.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -98.8 times -16412\nAnswer: 1621505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -2 - 6\/2) + 8. Calculate the greatest common factor of d and 528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 129 = -3*l, 0 = 5*l - s + 5*s - 215. Let b = l + -173\/4. What is the nearest to b in 3, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.110865 years to centuries.\nAnswer: 0.00110865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760847609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u**3 + 27*u**2 + 8*u + 6. Determine s(4).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 172, 4, -969, 0 in decreasing order.\nAnswer: 172, 37, 4, 0, -969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223332333 + 2322?\nAnswer: 1230001321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**4 + 11*q**3 - 10*q**2 - 64*q - 36. Let d(b) = -10*b**3 + 10*b**2 + 65*b + 35. Let y(w) = 4*d(w) + 5*k(w). Solve y(v) = 0 for v.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l - 88 = 0. What is the common denominator of 45\/l - (-1)\/(-2) and -26\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 8*q - 18. Let g be m(-10). Let p(a) = 11 + 21 + 0*a - 25 - g*a. Determine p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*j + 26*j - 84. Let c(u) = -3*u - 8. Calculate c(j).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46994.\nAnswer: 2, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 6019539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -130*x**5 - 2*x**3 - 59*x**2 - 2*x - 2. Let z(j) = j**5 + j**3 + 2*j**2 + j + 1. Let c(b) = -q(b) - 2*z(b). Find the third derivative of c(u) wrt u.\nAnswer: 7680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*s = 25*s + 71232. Is 69 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 5 - 1)*(2623 + 8*z**2 + z - 9*z**2 - 2621) as k + t*z + n*z**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13.1. Which is the third smallest value? (a) d (b) -1 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 765, -1994, -6545, -12894, -21047?\n\"Answer: -w**3 - 890*w**2 - 82*w + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388883 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 0.31267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 * -501.\nAnswer: 255.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -5\/3, 13 in increasing order.\nAnswer: -5\/3, 0.7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*v = -v + 19, v + 5 = -i. Suppose -4 = -3*u - 1. Calculate the remainder when 4 + (-2 - i)*-3 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.6 - 20.5879. What is d rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897031651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a year in months?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (-7)\/((-42)\/8496). Suppose -2*y + 7*y = 4*a + s, -3*y = -5*a - 836. 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 one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -12.41\nAnswer: 3.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*q - 96 = -173*q. Suppose -15*k = -7*k - q. Let c be ((-1)\/2)\/(5\/(-60)). Solve 2*j = -3*i - 10, c*i - i - k*j = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51 + -58 - 57*-4?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*k + 12 = -2*c, -3*k = -5*c - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110768 divided by 3?\nAnswer: -110768\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 - -92. Suppose 9*q - y*q - 1218 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 441*j + 83*j)*(-j + 2*j**2 - 2 + 2).\nAnswer: -716*j**3 + 356*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = -3*w + 4, 4*w - 2*p - 32 = 0. What is the remainder when 22 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 smaller than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -830, 3, -2, 4, -4 in decreasing order.\nAnswer: 4, 3, -2, -4, -830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82222 + -82221.999966693. What is t rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-4)*1 - (302 + -303).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b - 50. Let f be p(6). Suppose f*k - 772 = -0*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. What is the third smallest value in 1, s, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5701 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -348 (b) 0.5 (c) -1 (d) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -235 (b) -3 (c) 2\/9 (d) 2 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 5*b - 2*b)*(-4 + 0 + 2) - 3*b + 2*b - b + 0*b + 5*b - 4*b - 5*b + 693 + 648 - 1311 in the form u*b + a and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/2 - x**3\/3 + x**2 + 3*x - 15. What is p(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 = -7. What is the third smallest value in x, 2\/9, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:33 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 15 - 3 = 0. Suppose 2*j + 7 = -1, 2*m + z*j - 146 = 0. Suppose 0 = -5*k + 80 - 25. Calculate the greatest common divisor of m and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11778968 to the nearest integer?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-133)\/42 - -3)\/((-1)\/4). Let g be (1 + -1)*(-3)\/(-6). Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 0 - 2)*((1 + 3 - 5)*(-2 + 1 - 1) + 3 - 5 + 4 + 2 + 0 - 4 + 3 + 2 - 6 + 5 + 1 - 5).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 5*q**3\/6 - 7*q**2 - 4*q + 1. Let k be y(16). What is the highest common factor of 528 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505\/43515*(-2)\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 30*h = 46. Suppose -f + 18 = 2*f. Calculate the remainder when h is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**21*p)*p*(p*p*p\/p**(-7\/6)*p*p*p)\/p)\/(((p**(-21)*p)\/p)\/p)**11 assuming p is positive.\nAnswer: p**(1369\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 + 2*b. Let s be h(2). Is 14 a factor of (-6)\/(-1 + s\/100*6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -3118, -7001, -12556, -19771, -28634, -39133?\nAnswer: -51256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3055, 12138, 27251, 48394, 75567, 108770, 148003?\n\"Answer: 3015*p**2 + 38*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 2. Let r(h) = -1145*h**2 - 25*h - 10. Give 5*m(u) - r(u).\nAnswer: 1145*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5402409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.1. Let t = 0.02 + 0.28. Let i = -51\/241 + 1219\/1205. Put i, f, t, 2 in decreasing order.\nAnswer: 2, i, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-4*f + 2*f + 4*f) - 2*f + f + 12*f)*(-2*f**4 + 0 + 0).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2.4, 4, 6, 5?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 4*q + 1. Let s be r(3). Suppose 0 = s*t + 20. Let w(n) = n**3 + 5*n**2 - 6*n - 7. What is the units digit of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13*b + 26. Let d(x) = 7*x - 4. Let z be d(-1). What are the prime factors of s(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttpottttpotootpddddp. What is prob of sequence pop?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/12 (b) -0.29 (c) -6\/7 (d) -7443\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3 + 3 + 6*h**2 - 6. Let f(q) = 3*q**2. What is k(f(p))?\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*3\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 3 - 1251025*i - 5*i**3 + 2*i**2 - 3.\nAnswer: i**3 + 2*i**2 - 1251025*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 232\/(-203)*(-2)\/((-16)\/(-22))*30\/165\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115.5 - 116.954. Round z to 2 decimal places.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = q - 456. Let t = q + 79. Solve -3*k - t = 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/275 and 42\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 46b?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)\/u*u*(((u*u**(2\/7)*u)\/u*u)\/u*u*u)\/u*u**(-1\/2)*u*u**(1\/11)*u assuming u is positive.\nAnswer: u**(2099\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6586662 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose 3*v - 180 = 5*i - z*v, 0 = 3*i - v + 112. Let c = i + 39. What is the nearest to c in 5\/6, 0.4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1139\/4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 8:51 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 42296\/(-622)*1\/(-4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 3*t. Let f(j) = 2*j + 11. Let m be f(t). Which is bigger: -7\/2 or m?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 260 = 0. Let i = f + -65. Suppose i = -9*w - 2*w + 5*w. Solve -3*g + 7 - 4 = w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 10, j: 4, a: 3}. What is prob of sequence jsjs?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 796.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/4*12\/(-45)*6. Suppose t*c = -c - 15730000. What is c rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**3*q**4 - i**3*q + 14*i*q**4 + 59*i*q**2 - 2*q**4 wrt q?\nAnswer: 120*i**3*q + 336*i*q - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, i: 8, u: 10}. Give prob of sequence iiqu.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 88 = -240. Let q(o) = 9 - c*o**2 + 42*o**2 - 9. Let r(d) = 3*d**2 + 3. What is r(q(g))?\nAnswer: 3*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.7 - -1.3. Let f = b - 25.6. Suppose 0 = 2*q - 0*q. Put q, -4, f in descending order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824890 is divided by 128?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -3\/8 (c) -0.05 (d) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59\/107 - -1169\/1926. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*f - 14, 4*u = 25*f - 30*f + 24. Suppose 0 = y + 5*s - 2, -4*s + 3 + 5 = 4*y. Suppose 1 - 5 = -y*v + 3*z, -2 = -v + 2*z. Is v at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 1\/273 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 1\/5 (c) -266 (d) -3 (e) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (2 + -1)) + (-70 - 0) + 79. Solve -q*d + 0*k + 12 = -4*k, -4*d - 5*k - 2 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 84*r**2 - 355*r + 13. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 18, 27, 36, 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 7*u - 4. Let g be a(-6). What is the second derivative of 4*y**3 + g*y**3 + y**4 - 6*y**3 + 3*y wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 + -280. Let z = v + 131.06. Let m = -3 - z. Which is smaller: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 48, 133, 252, 405, 592?\n\"Answer: 17*k**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/16 + ((-970)\/8)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*t - 36, t - 4*u = -2 - 2. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, f: 1, g: 1, b: 1, c: 2, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 502, 5.48 in descending order.\nAnswer: 502, 5.48, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + 1.6. Which is bigger: o or -0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from ppnnpnpnppp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from fbxxfxbbxxbbb?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1768 by -217783.\nAnswer: -1768\/217783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47.4. What is the second biggest value in 2\/5, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -98*c - 15*c + 3 + 15 - 18. Let g(k) = 3*k**2. Calculate g(u(h)).\nAnswer: 38307*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/163? (a) -4 (b) -0.2 (c) 114 (d) -18 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 3*k + 2. Let f(c) = -c**2 - 2*c - 2. Let w(d) = -6*f(d) - 7*t(d). Let g be w(-6). Let x(n) = n - 5. What is the units digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-36))\/((-985)\/(-140) - 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 10003?\nAnswer: -10003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 22. Let k = z - -19. Find the third derivative of -2*b**2 - 3*b**2 + 3*b**5 + b**k wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5, -447, -4.3?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*0\/24. Solve a = -x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 167, 238, 309, 380?\n\"Answer: 71*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 815*z + 70*z**2 - 2 - 418*z - 398*z. Suppose -2 = 4*c + 2. What is the tens digit of u(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2981192 and 984.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3*a + 2*a + 6*a + 0*a.\nAnswer: 5*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/(l**(4\/7)\/l*l) assuming l is positive.\nAnswer: l**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.48 + 21399359.\nAnswer: 21399358.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1553615687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7162650.\nAnswer: 2, 3, 5, 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 504\/(-10) - (-5 - (-230)\/50). Let l = 85 + g. Calculate the remainder when 102 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -463855.\nAnswer: -231927.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -126, -322, -596?\n\"Answer: -39*f**2 - f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.1, 1\/9, 0.14, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*(-3*(2 + -2 + sqrt(396)) + 5).\nAnswer: -270*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/210 - j**4\/42 + j**3\/21 + j**2\/2 - 4*j. Let r(q) be the first derivative of h(q). Determine y, given that r(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1439 - 2*u**2 + 1439 - 13*u**2 - 31*u + 11*u**2.\nAnswer: -4*u**2 - 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/96)\/((-1)\/(-4))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.554333ml?\nAnswer: 0.007554333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let j = 9 - d. Let w = j - 5. Solve -4*g + 2*n + 3*n - 11 = w, -8 = -2*g - 2*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 204 in -0.04, 343, 4?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 8:11 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9938 - -9936. Which is the second smallest value? (a) 2\/217 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 319851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -900 by -6.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8181, 8189, 8195, 8199, 8201, 8201?\n\"Answer: -w**2 + 11*w + 8171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6 - 31*n - 32*n - 18*n - 18*n + 101*n. Let o be 1 - (-1*1 - 0). Let u be f(o). Which is the third smallest value? (a) u (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/125*1025\/328*((-2)\/1)\/24\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 - 2*i + 4. Let q = 19 - -5. Calculate the remainder when j(5) is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*v - 0*v + 30, 0 = -2*i - v + 30. Suppose -i*z + 19*z = 32. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574244183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 12 + 16)*(3*z - 2*z - 3*z)*(-3 - 503*z + z**2 + 489*z + 0*z**2) to the form f + g*z**2 + o*z + p*z**3 and give g.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 277187945 to the power of 1\/2, to the nearest integer?\nAnswer: 16649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11805?\nAnswer: 3, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5049 + 12238. Suppose 0 = -3*g + 10*g - s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.47 + -1.97. What is the third biggest value in 2, 0.02, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 10*c**2 + 12*c - 13. Let k be h(11). Put 3, k, 13 in descending order.\nAnswer: 13, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2748, 2698, 2614, 2496?\n\"Answer: -17*o**2 + o + 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3125.6 * 0.66\nAnswer: 2062.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12307 - -16803. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + o + 20 = 0, 2*o - 3 = 2*d - 25. Let h = d + -10. Sort h, 0, 1 in ascending order.\nAnswer: h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**2. Let p(x) be the second derivative of 11*x**6\/720 - 7*x**4\/3 + 8*x. Let q(f) be the third derivative of p(f). Determine i(q(c)).\nAnswer: -484*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)\/(sqrt(32)\/sqrt(4)) - (3 + sqrt(1700) + -2 + sqrt(1700)))**2.\nAnswer: 38*sqrt(17) + 6138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g**(-4\/5)*(g\/g**(-1))**(-20))\/((g\/((g\/(g\/(g*g**(-1\/2))))\/g)*g)**(-1\/3))**46 assuming g is positive.\nAnswer: g**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -48*v - 60. Let o(k) = -49*k - 70. What is 5*o(t) - 6*z(t)?\nAnswer: 43*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-1))\/(-4 + 1). Differentiate 2*k**2 + 1 + 6 + v with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 18*k + 21. Calculate d(5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 35*b + 126 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 340457, 340466, 340489, 340532, 340601, 340702, 340841?\n\"Answer: x**3 + x**2 - x + 340456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 + 5*c + 344.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 6*u + 10. Let l be k(-6). Let c(g) = 3*g + l - 1 - 9. Let a(r) = 8*r**2. What is c(a(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 30 + 51. Let k(p) = -4*p - 1. Let d(r) = -25*r - 7. Let n(c) = 6*d(c) - 39*k(c). Calculate the remainder when m is divided by n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + z = -14, -3*z + 7*z = -5*v + 28. Solve -v*o = -b + 23, -5 = 4*o + b + 4*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2732*q + 3890. What is u(0)?\nAnswer: 3890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*w - d + 12, 11 = -w - 2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120619275 - 69619285. Suppose 0 = z - 3*z + x. Suppose 0 = 4*q + 5*r - 20400005, 6*q - q - 5*r = z. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 1 - 2*h - 3*h**2 + 6*h + (-5 - h + 5)*(4*h - h - 2*h).\nAnswer: -3*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t - 2. Give h(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from aggmaaggmg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4043685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 58 = -964. Is u - (-1 - 1) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*d + 63, -3*s + 0*s = 2*d - 38. Let q = s - 3. Solve 5*p - q = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1397*w**3 + 2*w**2 + 159*w - 496. What are the prime factors of r(3)?\nAnswer: 2, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2808038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 144 = 37*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 1. Suppose -o = 3*t - 1 - 9, -3*t - 5 = 4*o. What is n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by -121\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/(-11) + 10\/(-4)*-40. Let j = 165 - y. Calculate the lowest common multiple of 14 and j.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 9. Suppose -2*i = i + a. Which is bigger: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -230\/7 - 228\/7*f + 2\/7*f**2 = 0.\nAnswer: -1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14414, -115283, -389050, -922157, -1801046, -3112159, -4941938?\n\"Answer: -14407*o**3 - 7*o**2 + o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 219, 319, 419?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16048519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2447303990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1000 + 314?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1*2\/(-11054)). Let n = -3579151 - -35846853\/10. Let f = w + n. What is the common denominator of f and -67\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.877073 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/11809116 and -29\/2147112?\nAnswer: 23618232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -8*i + 344. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -725*r**3 + 4*r - 2382 wrt r.\nAnswer: -2175*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 17*v + 21. Let l be x(-7). Let p(g) = 8*g + 13. Let a be p(-6). Let w = a - l. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -226, -451, -676, -901, -1126?\n\"Answer: -225*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 6. Suppose -4*a = 3*x - 15, -c*x + 0*x + 10 = a. Let o = 289\/5 - 58. Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46229 divided by 4?\nAnswer: -46229\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 13*m - 198099. Suppose -2*v + m = 5*j, 3*j - 4*v + 10797 = 6*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:58 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-13 - -14) + (-2 - -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37526, -36418, -34586, -32042, -28798?\n\"Answer: -2*o**3 + 374*o**2 - 37898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52270?\nAnswer: 2, 5, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -21. Let z be 0*(1 + -4 + 2). Put 2, t, z in ascending order.\nAnswer: z, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241365, -476450, -711535?\nAnswer: -946620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.1 + -14.1. What is the nearest to 2 in h, -3, -0.14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 1 + 2 + 7*u**2 + (0 - 2 + 3)*(-3*u + 6*u + 0*u)*(-2 + 2 - 7*u).\nAnswer: -14*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*(-300)\/45*3\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11264 + 9843. Put a, 0.5, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*u - 688 = 80*u. Let v = 192 + u. Is 9 a factor of (-56)\/84 + v\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 43. Suppose 232 = -6*b + a*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 3710 = -7*w. Let r = w - -799. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 4.54, 3, 5035?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 923\/1065 + 12\/(-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91545 by -73.\nAnswer: -91545\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (6\/(-11))\/(2\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) + sqrt(40))*4)\/(sqrt(792)\/sqrt(11)) + -2)**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4240 divided by 4\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 941 - 907. Suppose -78*k + 132 = -m*k. Solve 0 = -k*z - 9, q - z + 1 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 9\/(-2). Let w = -60 - 846. Let j = w + 914. Which is the second biggest value? (a) j (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, c: 4, b: 3}. Give prob of sequence bac.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1871 + 3047 = -3*m + 2*d + 12684, -5*d = 0. Calculate the highest common divisor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*j - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7535 times 0.1\nAnswer: 753.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68274 + 538?\nAnswer: 68823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:21 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 + 3854 = 256*v. Solve -13*a + v + 39 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*a = 6, -7 - 12 = -5*p + a. Solve p*f - 12 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pii when three letters picked without replacement from {i: 11, p: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 11 - 2*l**2 - 13 + l**2 + (-1 + 5 - 2)*(3*l**2 + l**2 - 2*l**2).\nAnswer: 3*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*o + 95256 = 0, 16586 = 2*c + o - 31050. What are the prime factors of c?\nAnswer: 2, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 5*z - 24. Let d be y(8). Suppose d*l - 2996 = -14*l. What is the remainder when l is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(2268\/(-48)) - 10\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336669319?\nAnswer: 17, 43, 1828549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/316 and -45\/3476?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3866*s**3 + 13*s**2 + 13*s - 10. Let m = -64 - -59. Let l be r(m). What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/25 (b) 0 (c) 5 (d) -19 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 4:34 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -234*p**4 - 3*p**3 + 6*p**2 + 81. Let g(q) = -1170*q**4 - 14*q**3 + 28*q**2 + 404. Let x(u) = 14*b(u) - 3*g(u). What is the derivative of x(s) wrt s?\nAnswer: 936*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 - 1. Solve -u = 5*v - 28, -h*v + 37 = 2*v + 4*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434251?\nAnswer: 227, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42407 and -1.\nAnswer: -0.42407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*2 + 2)**2.\nAnswer: 56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/234145 and 47\/41443665?\nAnswer: 41443665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3586426 is divided by 3586397?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-1))*14\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**2. Let t be -6 + 2 - 0\/(-2). Let n = t - -6. Let r(g) = -5*g**2 + 2*g**2 + 0*g**n. Determine r(a(l)).\nAnswer: -147*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Suppose p*c = -2*i + 8, -i - i = -c - 3. Put -2, c, -4 in decreasing order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-20) - 1)\/((-7)\/(-294)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (-988)\/28. Suppose 2*u + q = 5*z - 3*u, 4*z = u + 16. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(1 - 2 - 1)*(6*i - 17*i - 5*i)*(i**3 - 4*i**3 + i**3).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 2:02 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 7)\/(1 - -1). Let c be -7 + 8 - (-1 + 11). Let z(j) = -2*j - 13. Let u be z(c). Solve a - u = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 11*y**2 + 12*y + 2. Let w be p(-12). What is the units digit of (w*1)\/((-2)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7626 and 558.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9913 and 28435115?\nAnswer: 28445028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 12. Suppose -g*u + 200 = 5*o - 0*o, 5*o = -u + 50. Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211400 - -3560.62629.\nAnswer: 214960.62629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/720 + 3*l**5\/10 + 13*l**4\/24 - 23*l**2. Let c(a) be the second derivative of t(a). List the prime factors of c(11).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -41*n**3 - 22*n**2 - 4. Let w(x) = -164*x**3 - 87*x**2 - 18. Let v(u) = -9*h(u) + 2*w(u). What is the third derivative of v(i) wrt i?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*r + 8*r + 1530 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/1060 + 37\/(-170).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -10782595?\nAnswer: -3\/10782595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 312865 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: Two letters picked without replacement from iggulugiiiliiiii. What is prob of sequence gi?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 + -81. Find the common denominator of 36\/m*26\/(-6) and (-35)\/84*-10*(-21)\/15.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (44\/88)\/(1\/22). What is the greatest common factor of i and 5390?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l - 12. Let t be z(7). Suppose -24 = -2*m - 5*k, -3*k + 4 = -t*k. Suppose -m*i + 742 = -36. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsohhoh. What is prob of sequence oh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 - 4*j + 4*j)*(-16*j - 9*j - 347*j**2 + 32*j - 5*j) as t*j + o*j**3 + n*j**4 + u + k*j**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.3 in 2, -0.4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5458878*v*w*y - 3909*v*y - v + 2*w*y + w - 1721*y + 1 wrt w.\nAnswer: -5458878*v*y + 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.88? (a) -1\/7 (b) 0.011 (c) -1.8 (d) 0.01 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10682591 to the power of 1\/2, to the nearest integer?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16.7 (b) -1555 (c) -47 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -l - 5*l. Suppose -c = -5*c + l. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w + 12 = 2*u, 4*u - 5*w - 30 = 0. Suppose 8 = -u*a + 9*a. What is the tens digit of 5 - -120 - -1*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10679691*w**3 + 39511760*w**2.\nAnswer: 64078146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (319\/(68904\/576))\/((-11)\/3).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (-2 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197090 - 533370. Let r = 1520280 + p. Round r to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7695.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = -20. Let v be (-4)\/(-20) + (-58)\/p. What is the tens digit of ((-32)\/v)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.01. Let y = 5012 - 5012.1. What is the nearest to y in 2, -0.4, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8019 divided by 3\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + w = -5, 3 = -3*w - 0. Find t, given that -20*t**i - 20*t**4 - 70*t**2 + 35*t**4 - 35*t**3 - 40*t = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-130)*(-10530)\/(-8424)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + ((sqrt(363) - -2*sqrt(363)) + -2 - (-3*sqrt(363)*1 - sqrt(363))))**2.\nAnswer: -616*sqrt(3) + 17806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:02 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 33*l**2 - 61*l - 70. List the prime factors of x(19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 65. Let k be r(-12). Let q(n) = n**2 + 7*n + 12. Let p be q(k). What is the third derivative of 4*o**5 - 503 + 503 + o**p wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 + -92. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 - 3*x**2 + 2*x. Let s(c) = 6*c**3 - 7*c**2 + 4*c. Calculate 5*q(y) - 2*s(y).\nAnswer: 3*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16907637, 33815269, 50722901?\n\"Answer: 16907632*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/5 - (-858)\/(-30). What is the common denominator of 11*g\/(-96)*3 and 65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from ekeeeeppkpekkkpkne?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 174*i - 660. Determine t(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2104*t + 877.\nAnswer: -2104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = -15. Suppose -3*k - 22 = -2*t, -5*t - 20 = 6*k - k. Is k >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/2 + 4528059*r - 6834439435827\/2 = 0.\nAnswer: 1509353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*-116320\nAnswer: -116320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81974 - -147400351.\nAnswer: 147482325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h*r*w**3 - 67*h*r*w**2 - 2*h*r*w + 848*h*w**3 - 959*h*w**2 + 121*r*w**3 + 11*r*w**2 wrt w?\nAnswer: -30*h*r + 5088*h + 726*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -1118, -4247, -10344, -20399, -35402, -56343, -84212?\nAnswer: -119999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9664694 by 9664694.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541822134.\nAnswer: 2, 3, 7, 41, 59, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 0 + sqrt(162)*2 - (sqrt(162) + -1 + 5 - sqrt(162)))**2*-2.\nAnswer: -2948 + 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h - 6. Give b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 1. Let i(g) = -g. Suppose -3 = 4*o + 1. Determine o*u(w) - i(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 12*f**2 - 30*f + 20. Let m be u(-8). Determine d, given that -2*d**2 + 4\/3*d**3 + 4\/3*d - 1\/3*d**m - 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110? (a) -0.3 (b) 1\/45 (c) -14222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3300 - -20562. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-16))\/((-1)\/(-62)). What is the second derivative of 9*y + 31 - 3*y**4 - h wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19592 + 254720\/13. Solve 6\/13 + 12\/13*w**3 + 20\/13*w + g*w**2 + 2\/13*w**4 = 0 for w.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422493900, -844987799, -1267481698, -1689975597, -2112469496, -2534963395?\nAnswer: -2957457294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let m = 274.9 + -227. Let c = 48 - m. What is the third biggest value in 4\/5, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*a + 1416. Suppose g - a - 282 = 0. Let i be (g\/(-39))\/(4\/(-6)). Is i greater than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285, -284, -281, -276, -269, -260, -249?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(1539))**2*6 + ((sqrt(95) - 1*sqrt(95))*3)\/(1*sqrt(80)).\nAnswer: -36936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 174, 252?\n\"Answer: 78*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a*z**4 + 17943*a*z**3 - 3*a*z**2 + 4*a*z + 2*z**4 + 2*z**3 - z**2 + 329*z + 2 wrt z.\nAnswer: -72*a*z + 107658*a + 48*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 2)*4 - ((sqrt(204) + -1*sqrt(204))\/sqrt(12))**2 - ((sqrt(1700) + 0)**2 + -1).\nAnswer: -1691 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-299)\/6 + 9\/(-54). Let m be 21*(g\/(-6) + -5). What are the prime factors of (-7)\/(m\/(-475))*2?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {j: 3, s: 5, a: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -7*v - 15 + 45, 4*x - 71 = -3*v + 11 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*j - 128801 = -128812, j + 10 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*m = -1226*m - 1147*m - 168077 for m.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 2. Let f(t) = -7*t + 17. Let n(m) = 30*d(m) - 4*f(m). Let o(y) = 1. What is n(u) - 6*o(u)?\nAnswer: -2*u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -44226, -0.2.\nAnswer: -44226, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, f: 2}. What is prob of sequence yf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21367.554 to the nearest 10.\nAnswer: -21370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 2*p. Let w(d) = -8*d**2 - 6*d. Suppose 14*q = 178 + 18. What is q*a(h) + 5*w(h)?\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.58848 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 22749362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4789, -4787, -4785?\nAnswer: -4783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 + 10*o**2 + 43*o + 5. Let x(s) = -s**3 + 2*s**2 + 1. Calculate -v(k) + 5*x(k).\nAnswer: -3*k**3 - 43*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396181617 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: Sort 0, 18, -5, 39 in increasing order.\nAnswer: -5, 0, 18, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 614.6 + -6\nAnswer: 608.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 1)\/((-30)\/12*(-42)\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + (15 - 23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 25096a81?\nAnswer: -25096a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1 + 3*h + 0*h + 2*h**2 + 0. What is the lowest common multiple of 11 and d(-3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -4, -1, 61, -11 in increasing order.\nAnswer: -11, -4, -2, -1, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7\/l)\/l**(-2\/13))**(1\/3) assuming l is positive.\nAnswer: l**(80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 28 = -17*n. Suppose n*w = -5*d + 11069, 5*w = -0*d + 3*d - 6634. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1*1\/(-6)). Let l be k\/(-21) - (-33)\/7. What is the second derivative of 6*p - l*p - 2*p**4 + 3*p**4 wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/20)\/((-1)\/(-4)). Let n = -519 - -496.9. Let m = 26.1 + n. What is the third biggest value in m, 2\/11, -3, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.8719 centuries in decades?\nAnswer: 6108.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21715 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8*5\/120.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 8*y**2 - 6*y - 7. Determine q(-6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*x - 128, -x + 2*q = -3*q - 44. Suppose 5*u + 45 = 4*j, -3*u = -4*j + 3*j + 6. Let v = x - j. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 - (6 + 35) - 14?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 12*a - 14. Let v = -5 + 15. Let c be x(v). Let z(k) = k**3 - 7*k**2 + 8*k - 5. Is z(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 23 = -n + 90, -5*f = 2*n - 86. Suppose -5*i + i = -f. Suppose 0 = -2*q + i*q - 2*r - 8, r + 12 = 3*q. Sort -1, q, -2 in decreasing order.\nAnswer: q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:38 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37802517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/2 - 387*r**2 - 33282*r - 954084.\nAnswer: -3*(r + 86)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*y - 222 + 425 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 30*u - 38*u - 1028*u**2.\nAnswer: -1028*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tavtttattt. What is prob of picking 1 a and 1 v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 3 = l. What is the remainder when (1 - l) + 29 + 0 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58263, 58284, 58315, 58362, 58431, 58528?\n\"Answer: j**3 - j**2 + 17*j + 58246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0*o + 2*o - o. Suppose -4 = -4*f, 0 = 2*r - 3*f - 7 - 0. Let j(z) = 73 + 76 - r*z - 149. Calculate j(v(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 156961994300 and 0.3.\nAnswer: 156961994300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - 9809541335?\nAnswer: -9809541334.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29013, -2, 0, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 954725.\nAnswer: -12\/954725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440591 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/16152 and 53\/1998810.\nAnswer: 7995240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.56 - -1.06. Which is the biggest value? (a) u (b) -2\/17 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -257902.9 <= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196823?\nAnswer: 3, 937, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 121021 (base 3) to base 5\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r**2 + 11*r - 11. Let g(u) = -5*u**2 + 4*u - 4. Let s(y) = -11*g(y) + 4*i(y). Let a(h) = 3*h**2. Calculate -4*a(q) - 9*s(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/((y*(y**7\/y)\/y*y*y)\/y))\/y)\/y**(-3))\/(y**(-2)\/((y\/(y\/(y*(y*((y*y*y**(-4)*y)\/y)\/y)\/y)))\/y)))\/(y**4\/(y*y**0*y)*(y**1)**45) assuming y is positive.\nAnswer: y**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31241 by -1.\nAnswer: 31241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(108) - sqrt(108)*1 - sqrt(108))\/sqrt(9) - sqrt(12)*-2*5)*-4)\/((sqrt(20) - (sqrt(1620) + sqrt(1620)*-2))\/(sqrt(125)*-1 - sqrt(125))))**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = z - 0 - 6, 5*q = -z - 14. Let a = -3 + 2. Let j = a - q. Sort -1, -2, j in ascending order.\nAnswer: -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*s - 65, 115 = -5*s + 4*m + m. Let j(v) = v**3 + 27*v**2 + 67*v + 42. Is j(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113976311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 13.41773\nAnswer: 53.67092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19.7223 times -0.007\nAnswer: -0.1380561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(1\/22). Let i(o) = -3 + 13*o - 5*o - 3 + 8. Is i(q) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/7))**(4\/43) assuming v is positive.\nAnswer: v**(-12\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 356 - 177 - 179 - 33*w + 32*w. Let u(m) = -230*m**2 + 4*m. Give u(x(q)).\nAnswer: -230*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*v - 241*v = -58*v + v + 14459 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*m - 195*m - 12901 = 18*m + 12533 for m.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 19*a - 704 = -40*a. What is the greatest common factor of 6149 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 - 2*a**2 + 10*a. Let c(k) = 24*k**3 + 11*k**2 - 51*k. Let h(m) = -6*c(m) - 33*t(m). What is the second derivative of h(j) wrt j?\nAnswer: 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 614 in 5, -2, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 = 0, -232*r = -4*a - 231*r - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b**(-7)*(b**(-15))**(3\/35) assuming b is positive.\nAnswer: b**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*l*z**2 + 5598*l*z - 318502*l - z wrt z?\nAnswer: 48*l*z + 5598*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/5*(-140)\/6. Suppose b = 3*q - 46. Suppose q = -5*i + 149. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3704*a**2 + 87*a - 43. Let w(b) = 1851*b**2 + 44*b - 23. Let t(y) = 3*m(y) - 5*w(y). Find the second derivative of t(k) wrt k.\nAnswer: 3714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -1)*(-1 + (-2032)\/(-12)). Let z be -2 - (4 - 1 - 61). Suppose w = -z + k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512907373 take away 6?\nAnswer: 512907367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3*(17 + -4 + -2) and (2 + -1)*(-2 + 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11001101001000010101110?\nAnswer: -11001101001000010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20. Let x(k) = -k**3 + k + 67. Let s be x(h). Let r = s + -39. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxbtb. What is prob of sequence bx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 57*x - 87. Let y be g(30). Solve 4*a = a + 6, y*j - 3*a = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 6, 86*p - 14 = 90*p - 3*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -u + 731, 8*w = 3*u + 9*w - 2232. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.164 - -23. What is q rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3795113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 6. Let d be (-2)\/i - 704\/(-280). Factor -2\/5*t**4 + d*t**3 - 16\/5 - 36\/5*t**2 + 8*t.\nAnswer: -2*(t - 2)**3*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43\/4*d**2 - 99*d - 153 + 1\/4*d**3 = 0. What is d?\nAnswer: -6, -2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76.2 - 78. Let y = -1.7 - i. Let f = -1.2 - -1.4. Sort f, y, -3 in ascending order.\nAnswer: -3, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (4 - 13 - -18 - 27)) + -6\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -826, -1686, -2546?\n\"Answer: -860*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6980 = 60*l - 80*l. List the prime factors of l.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 45*q = 0. Calculate q.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 34786*l + 7389. Is f(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 0, 5*h - 16 = -3*i. Suppose 3*p = -17 - 19. Let c be (-4)\/10*(-20)\/p. What is the second biggest value in -3\/8, c, i?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-249 + 3066*z - 6128*z + 3056*z)*(z**3 - z**3 + z**3).\nAnswer: -6*z**4 - 249*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3591?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = 3*f. Let j(c) = -5*c + f*c - 8*c. Let i(h) = -4*h + 0*h**2 + 4*h + h**2. Determine j(i(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 168115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262484342?\nAnswer: 2, 61, 2151511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054.519333 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/10 - 117881*r**2\/2 + 2357596*r\/5 - 4715176\/5 = 0.\nAnswer: 4, 589397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 2*p**2 - 18 + 20*p**2 + 7*p**2.\nAnswer: 25*p**2 + p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7335*p + 47. Let v be t(15). Suppose -n + v = 7*n. Let o = -6819 + n. What is o rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**2 - 31*k - 39. Let j(y) = 5*y**2 - 16*y - 19. Let p(t) = -3*t - 6. Let s be p(-4). Let v(z) = s*m(z) - 11*j(z). Factor v(r).\nAnswer: -(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3923*w = -3926*w + 4*r + 11, 5*w + 5 = -5*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, -1, -0.4, -5\/7 in increasing order.\nAnswer: -1, -5\/7, -0.4, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 635960.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 divided by 3?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2182, 349, 7, -3\/2, 0.2.\nAnswer: -3\/2, 0.2, 7, 349, 2182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183502 = -9547*b - 111*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2. Suppose 4*y + 6 + 10 = -5*j, 3 = -y - j. Let q(t) = -1 - t**2 + 0 + y. Calculate q(u(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-36)*(189\/6)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11117\/6 + -1873. What is the common denominator of -143\/6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - sqrt(6)\/sqrt(3)) + -5)*-2)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 145*y**4 - 131*y**4 + 332*y**4 + 3*y + 10 - 4*y - 2*y**2 to the form p + c*y**2 + l*y + f*y**4 + b*y**3 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12546 divided by -18?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 - 3. Let w be g(3). List the prime factors of 36\/(-8)*w\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452169333.8 - -0.05\nAnswer: -452169333.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 16 - 2 - 5. Suppose t*x - 247 - 39 = 0. Calculate the remainder when 95 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Suppose -3*b + b - 20 = -g*l, -5*l - 5*b = -20. Is l + 25 + (5 - 2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 5*p. Let f = 143 - 147. Determine x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p + 70. What is b(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 143227133 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 239113, 478228, 717343, 956458, 1195573?\n\"Answer: 239115*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2) + (-13)\/(-15). Put -1, -3, v in ascending order.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-333052)\/(-32) - (-1)\/8) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 9:06 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -2. Let t = -0.2 + v. Let r = -0.036 + -0.064. Which is the biggest value? (a) t (b) r (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*m - 74 + 62 - 317*m.\nAnswer: -24*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 + 2 + 90 + 69 + 65 + 56*q with respect to q.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/20250 and -62\/12760875.\nAnswer: 76565250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-10)*25*4\/15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1277953 and -71355.9009?\nAnswer: 71356.0286953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -695 - -640. Find the common denominator of (6\/(-4))\/((-22)\/m*-71) and 29\/7.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -998643 and 0.25446112.\nAnswer: -998642.74553888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 10*l + 9. Determine o(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*4\/192*-6*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10045 and 45080?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/5)*p)\/((p*p**(2\/3))\/p)*p*p*(p\/p**(2\/7))\/p*p**(-2\/19)*p assuming p is positive.\nAnswer: p**(4673\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602991 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-30)*-1*3. Sort 2\/23, -2.2, 1, u in descending order.\nAnswer: 1, 2\/23, u, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 3*q**2 + 4*q + 28. What is the smallest common multiple of 24 and a(0)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 117119166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -173?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/3 + 3*d**4 + 32*d**3\/3 + 56*d**2\/3 + 16*d + 16\/3.\nAnswer: (d + 1)*(d + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2798372 (base 10) in base 5?\nAnswer: -1204021442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 399\/10 (c) 144\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2966, 2964, 2958, 2948, 2934, 2916, 2894?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414 = 326*u - 1740*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 225*b*s**5 + b*s**2 + 34*b*s - s**4 wrt s?\nAnswer: 13500*b*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*f**4 + 770*f**2 + 7*f + 1104089 wrt f.\nAnswer: -72*f**3 + 1540*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 609*b**2 - 21835*b - 3198. What is q(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by 143\nAnswer: -186\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 193375 a multiple of 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58209?\nAnswer: 3, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose -2*m - 6 = -3*m. Let s = j + m. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*b + 3*b**2 - 23 - 10 - 50*b as k*b + r*b**2 + v and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*l + 112. Let o(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 2*i - 3. Let u be o(6). Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1315 (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -6. Suppose 2*x + 2*w - u*w - 24 = 0, -2*x - w + 48 = 0. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -871.\nAnswer: -5\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28.92 and 0.59.\nAnswer: -28.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 + n + 4. Let q be k(-2). Suppose -y = -7 - q. Suppose y*m = 49 - 4. Which is the fourth smallest value? (a) m (b) -8 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*h - 16*h + 18*h)*(2*h + h + 2*h) to a*h**2 + g + r*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vjvv?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let q(a) = a**2 + 11*a + 12. Let t(m) = -m - 1. Let c(h) = q(h) + 5*t(h). Let b be c(-7). Calculate the greatest common factor of b and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 1595 - 4533 = 0. Suppose 0 = -7*a + 180 + f. What is the remainder when a is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2318, 4715, 7122, 9545, 11990?\nAnswer: 14463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*m**3 + (0*m**2 + 3*m**2 - m**2)*(2*m + 3*m - 4*m) - 4*m**3 - 5*m**3 + 57*m**3 to the form f*m**2 + g*m + b + k*m**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118, -728, -2222, -4990, -9422, -15908?\n\"Answer: -65*b**3 - 52*b**2 + b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*b - 5, -107*y + 132 = b - 5320 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33251 <= -1\/5244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1419 - 570. List the prime factors of c.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128193 and 321594.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1056 and 73\/528?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14734257 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55089142 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 25. Suppose -z*r - 16 = -25. Let t be 3\/9 - (-8)\/r. Solve t*k = -k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**3 + 6*y**2 + 16*y + 15. Does 20 divide w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/3 - 260*v - 779\/3 = 0.\nAnswer: -779, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -374.9 - -391. Let t = m - 11.1. What is the closest to 1 in 0, -52, -2\/3, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15880303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23041, -23037, -23033, -23029?\nAnswer: -23025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3859, -3857, -3855, -3853?\nAnswer: -3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/78 + 15*u**3\/13 + 86*u**2\/13 - 46*u - 6. Find z, given that a(z) = 0.\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34235130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-160)\/(-4))\/((-4)\/(-6)). Suppose 7*j + 9*j = -2*j. Suppose j = 19*z - 24*z + q. What is the smallest common multiple of z and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/703692 and 61\/312752.\nAnswer: 2814768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23311 - -23614. Calculate the remainder when g is divided by 123.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 9*f**2 - 5*f + 3. Let s be n(4). Let q = 0.3 - 0.5. Which is the third smallest value? (a) q (b) s (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o = 24*o + 72 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 293. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + 149. Suppose -2*c - 4 = -6, v = -3*x - 3*c. Is 11 a factor of (-12)\/(-18)*x\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3573229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 354922?\nAnswer: -2\/177461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let s be 8\/4 - d*3. Suppose -2*y + b = -s + 3, -65 = -5*y - 5*b. What is the smallest common multiple of y and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 361.622322 to 0 decimal places.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 54*j + 2919. Determine c(-54).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4 - 4)*(-2 + 2 - 3)*(1 - 9 + 0).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1724 and 89\/62064?\nAnswer: 62064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(j**4 - 2*j**4 - 19*j + 2*j) to the form d*j + w*j**2 + t*j**3 + r + a*j**4 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.39. Let x = -22.991 - 0.009. Let l = x - -24. Which is the biggest value? (a) 0.3 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z = 529 - 153 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 17. Suppose l = 5*a, 5*l = -5*a + 4 + y. Let p(c) = 3*c + 2*c**2 - a - 4 + 2*c. Let i(k) = -2*k**2 - 4*k + 4. Determine -5*i(b) - 4*p(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 8*c + 7. Let q(s) = 2*s**2 + 9*s - 6. Let a(g) = -3*b(g) - 4*q(g). Give a(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366153 times -0.16?\nAnswer: 218584.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 97*s. Let b(z) = -14*z**2. What is t(b(m))?\nAnswer: -1358*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 28. Let s be (1 + a\/4)*320\/(-48). Let y(h) = h**2 + 15. Let x be y(s). Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*s + 65 - 65 in the form x*s + g and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**4 - l**4 + 3*l**4)*(-2 - 4 + 5)*(2*l + 2*l - 5*l)*(4 - 2 - 3).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6445086 - 113*u - 49*u + 6445086.\nAnswer: -162*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13897 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. What is the third derivative of 0*s**6 + 14*s**t - 10*s**2 + 2*s**6 wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 50, 37, 20?\n\"Answer: -2*a**2 - 3*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -709, -1121, -1533?\n\"Answer: -412*x - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6 - 273*z + 3 + 275*z - 1. Give o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*v - 2*c - 12, 3*v + 21 = -2*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, g: 2, c: 3, r: 1, v: 1}. What is prob of sequence zrg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 + -891. Let h = 3787\/5 + q. Suppose -h*w**3 - 3\/5*w**4 - 6\/5*w - 3*w**2 + 0 = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**2*g*h**2 + 62246*d**2*g + 3*d**2*h**2 - 2247*d**2*h + 3*h wrt g?\nAnswer: -3*d**2*h**2 + 62246*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 822531874 a multiple of 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 789 = -5*i + 783, 4*i + 12 = -f. Suppose -2*k = -k - 2. Let v be 8\/6 + 6\/9. Solve v*o - f = -k*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(sqrt(396) - (-4 + (-3*sqrt(396))**2) - sqrt(396)) - (6*(2*sqrt(396))**2 + 1 + sqrt(396) + sqrt(396) + 0)).\nAnswer: -5942 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 34 = -1. Let z = l - -18. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4307*l**5 + 39229*l**4 + l**3 - 213*l**2 - 1263617 wrt l?\nAnswer: -258420*l**2 + 941496*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 393\/2*514 - 1. Suppose 4*v + k = 3*v. What is v rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/39)*t\/(t\/t**(1\/7)))\/(t*t*t**(3\/4)\/t)**(-1\/4) assuming t is positive.\nAnswer: t**(2311\/4368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78629, 157259, 235889, 314519, 393149?\n\"Answer: 78630*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17958*c**2*p + 2*c*p - 5254*c wrt c?\nAnswer: 35916*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-9))\/((-4)\/78). Let w = -46 + n. Let t = -10 - w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.4 + 12.4. Sort -6, h, 0.2, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113750453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82292653409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -563, -862, -1185, -1538, -1927, -2358, -2837?\nAnswer: -3370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6005 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, m: 5, r: 6}. Give prob of picking 1 e and 1 r.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa77 + c6a?\nAnswer: -9b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ussuwsuuwusqiqssu. What is prob of picking 1 u and 3 s?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5083 - 4829.1. What is n rounded to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let q(k) = 10*k. Let w(f) = f**2 - 2*f - 1. Let x be w(3). Let y(s) = -13*s + 32*s + x - 2. Let c(a) = 5*q(a) - 3*y(a). What is v(c(g))?\nAnswer: 49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 6, j: 1, i: 8}. What is prob of picking 1 w and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/4*152\/10 is divided by ((-6)\/(-9))\/(-1)*-15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2 + 0 + 2*m - 5*m - 2. Let t be p(-2). Suppose a - t*w = 0, 0 = 3*a - 2*a + 3*w. Solve y + 2 = a, -2*q = 4*y + 6 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 6}. What is prob of sequence uddu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 - 107. Let s(r) = r + 29. What are the prime factors of s(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:15 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 9*c - 2. Let r(g) = 3*g**2 + 4*g - 1. Let k(s) = 7*r(s) - 3*z(s). Let a be k(1). Let h = a + 12. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1161*f**3 - 3061*f**3 + 746*f**3 + 1165*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (0 - (16 + -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 1 - (-28)\/(-2240)*32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 295*0.3\nAnswer: 88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 579000 divided by -6\nAnswer: -96500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -66*g**2. Let k(m) = -m**2 + 33. What is a(k(s))?\nAnswer: -66*s**4 + 4356*s**2 - 71874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 48 - 78 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 18384*u + 1121432. What is i(-61)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 23*r - 16 = -25*r, -a + 4 = -2*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 53*f + 10. Let k be h(14). What is the greatest common factor of k and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*y**2 - 3*j**2 + 77*j + 57*y**3 with respect to y.\nAnswer: -2*j**2*y + 171*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326.54 + -326.524659. Round x to 4 decimal places.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87016 and 15496?\nAnswer: 1131208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -34 (c) 0.3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 5*c - 6. Let r be d(-7). Let w be (r\/15)\/((-4)\/9). What is the tens digit of (w\/(-1))\/((-7)\/91)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/325251?\nAnswer: 4\/325251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*h + 15 = -117*h. Suppose h*z - 42 = -6*z. Find u, given that -13\/2*u - 2 - 7\/4*u**4 + 13\/2*u**3 + 15\/4*u**z = 0.\nAnswer: -1, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**2 - q - 4. Let l be o(-1). Suppose t = -1 + 69. Suppose 4*g + t = -3*w + 159, -w = -l. Calculate the greatest common factor of 57 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 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: What is prob of picking 1 y and 1 k when two letters picked without replacement from {y: 2, k: 1, x: 1, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43952740 - 43952740 + 17*s**2.\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Suppose -14*r - 9*r + 184 = 0. Let p = -24 + 23. Let x be (-9)\/6*-2*p. Let n(q) = -2*q - 4. Calculate r*k(s) + x*n(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24894044, 24894042, 24894040, 24894038?\n\"Answer: -2*a + 24894046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -534111, -16, 2 in ascending order.\nAnswer: -534111, -16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667293 > 4667281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 2. Let u = 0.02798 - -360.87202. Let f = u + -361. Which is the nearest to f? (a) v (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, r: 4}. Give prob of sequence rnrn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 65 - 34\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32905270.1754 - -0.9?\nAnswer: 32905271.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*r + 30 = 0, -5*r - 18 - 3 = -2*c. Suppose -15 = t - c. What is the greatest common divisor of t and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4200 - 4195. Which is smaller: s or 27.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 15*w**2 - 2. Let b be i(2). Let n = b - 38. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2298 - 2265. What is the remainder when 64 is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3439 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 34*n**2 + 12*n - 14. Let w be q(1). Let a(g) = 136*g**2 - 32*g. Let j(p) = -21*p**2 + 5*p. Determine w*j(o) + 5*a(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-384)\/(-312))\/((-10)\/65).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 13*n**2 - 29*n + 16. Let g be u(-10). Solve -2*c = 5*z + 4, g*z - z - 2 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*n + 14, -4*w + 15 = 3*n + 2*n. Suppose w*t - 3*k = 3 + 7, -4*k = 2*t - 4. Solve 6*x - t*x - 23 = 5*o, -6 = -3*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -738 - -1115. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 106, 236, 418, 652, 938, 1276?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43671*q**2 - 42768*q wrt q.\nAnswer: 87342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - (4 - -17)) + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/40)\/(-13)*-3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-259)\/(-28) - (-3)\/(-12). Let z(s) = -s. Let b(w) = w**2 - 17*w + 13. Let j(o) = -b(o) + 6*z(o). Give j(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*w)*(-2*w**2 + 2*w**2 + 2*w**2) - 2*w**3 + 6*w**3 + w**3 + (-51*w + 62*w - 51*w)*(w**2 + w**2 - 3*w**2).\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 12*v**2 + v + 8. Let n(u) = u**3 - 13*u**2 + 2*u + 8. Let p(a) = -3*n(a) + 2*s(a). What is the lowest common multiple of p(-15) and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 10. Let u be q(-8). Let a = u - 25. Sort a, 4, 1.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -5\/3 (c) -0.4 (d) 0.008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.073 + 117.927. Let s = -96 + l. Which is greater: 0.3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1209474960 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 45988000 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 790320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 8. Let u be z(6). Suppose -j + u = j. Calculate the highest common factor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16960 by -4.\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:47 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -514\/5605 - 4\/295. Sort 24, i, 3, -1\/5 in ascending order.\nAnswer: -1\/5, i, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + u - 5708 = 0, n + 2*u = -2*u - 1907. Let z = -1137 - n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*d - 20, d = -0*c + 4*c + 6. Suppose -7*i + 4 = -3. Put c, i, 8 in descending order.\nAnswer: 8, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((-6)\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 9 - (2 - 1). Suppose a*b + 5 = 4*n, n - 8 = 4*b - 3*n. What is the third derivative of -k**2 - 3*k**3 - 2*k**3 + 3*k**b wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3229 + 3241. What is the remainder when 95 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - c = -14, c + 4 = 16*c - c - 18*c for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*x + 15 = -x, -x + 3 = -2*l. Let f = -19\/3 + 142\/21. Which is the nearest to 0.1? (a) l (b) f (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from bbhbbaatbka?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.3869l in millilitres?\nAnswer: 197386.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/24*j**4 + 7\/6*j**3 + 3*j**2 + 0*j + 0. Determine c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (23 + -15 - (2 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 354*a - 359*a + r - 4, -4*a = -3*r + 12. Solve 19*g - 356 + 299 = a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 45*w**2 - 11 + 7 + 12*w**2.\nAnswer: -33*w**2 + 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 579193423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 292212551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -12\/73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143306 is divided by 35489?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 + 64*b**2 - 3*b**3 + 2*b**3 + 3*b**3 - 10*b**2 as j*b**4 + w*b**2 + u*b**3 + i + r*b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*p + 2 - 2)*(-7*p + 4*p - 7*p) to h*p**2 + x + a*p and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*x - 2104 = -414*x + 12601 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 76 = -24*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -205*a - 8. Let m be t(-3). Let l = 1158 - m. Suppose 5*p = 384 + l. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 8*w**2 + w + 4. Let g(h) = 5*h**3 + 23*h**2 - 2*h - 12. Let q(m) = 8*b(m) + 3*g(m). What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.3298.\nAnswer: -0.09894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 7. Let r be m(18). Is r > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1470*h**2 - 4426*h**2 + 1204*h + 1477*h**2 + 1478*h**2 - 4*h**3 as a*h + r + j*h**3 + c*h**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k**2 + 49*k**2 + 130*k**2.\nAnswer: 216*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 6*p + 5. Let q(t) = t - 1. Let i be q(-5). Let n(k) = k + 1. Let c be n(i). What is the units digit of z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/90 and (1 - (-49)\/(-63)) + ((-12702)\/(-18900) - 1)?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 x when three letters picked without replacement from {d: 1, e: 2, x: 1, l: 2, b: 2, i: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3614184 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2468 + 2697.16. Round i to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42119, -84231, -126369, -168545, -210771?\n\"Answer: -2*b**3 - b**2 - 42095*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 + 27*j - 122. Let q be z(6). Put 17, -2, q in decreasing order.\nAnswer: 17, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Let b = -1 + r. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3609327713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*b**2*k + 2*b*k**3 + 53*b*k**2 + k**3 - 220*k**2 - 1 wrt b?\nAnswer: -20*b*k + 2*k**3 + 53*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*a + 25*a + 33 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.4 plus 3?\nAnswer: -37.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1071471606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1216) - (sqrt(1216) + sqrt(1216)*-2*-3) - (sqrt(1216) + 0 + 1)))**2.\nAnswer: 1792*sqrt(19) + 953360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23672564 is divided by 1734?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 246 - 9. What is the highest common divisor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 5*t = 6, 2*t - 5 = -1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 139.99. Which is the second biggest value? (a) -1 (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/((2717\/2717)\/(5*3))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((5\/12)\/(9690\/(-456))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27715380 divided by 1540?\nAnswer: 17997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 2212712*a\/7 + 612011799368\/7.\nAnswer: 2*(a - 553178)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -6 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:13 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 159 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1750.794675 to one decimal place.\nAnswer: 1750.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from {k: 1, g: 7, h: 5, d: 2, q: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -41*u + 166. Let k be o(4). Let g be k + -1 - (29 + -29). What is the closest to g in 4, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/96)\/((-30)\/(-40)))\/((-30)\/360)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.527\nAnswer: -0.1581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 9*v)*(9*v - 224 + 72 + 95).\nAnswer: 81*v**2 - 513*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/8 + 6537*a\/4 + 14244123\/8.\nAnswer: 3*(a + 2179)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 7 - -10 - 5) + 6 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - (-1 - -3 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 263159 from -6.953.\nAnswer: -263165.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5993 - 5989. Put -3\/8, y, -0.805 in descending order.\nAnswer: y, -3\/8, -0.805","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -14. Let i be -4*36\/(-16) + -5 - -3. Let p = i + f. Solve 3*t = p*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11 = -0*f - 2*f, f = 4*i - 18. Let y be ((-84)\/(-210))\/((-2)\/(-15)). Let w(p) = y - 2 - 1 + f*p**2. Let s(o) = 4*o. What is s(w(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 754?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -50, -54, -48, -26, 18, 90?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from balpvablppapap?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u - 1. Let k(o) = 2*o**2 + 7*o - 3. Let x(s) = -k(s) + 3*t(s). Let w(r) = 3*r**2 - 9*r. Determine 2*w(d) - 5*x(d).\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1973300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*c**3*d*l - 16*c**3*l + 21*c**2*d - c**2*l - 4*c**2 + 2*c*d*l + 3*l wrt c?\nAnswer: 522*d*l - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*u + 2*u + 206 = 0, 3*g - 3*u = 141. Let v = 148\/3 - g. Which is the nearest to 1? (a) v (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6564)\/29538*(-9)\/(-124)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 - -505. Let u = 209.6635 + 48.3208. Let r = c - u. What is r rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 8 + 4. Suppose -5*a = -z - 6. Let x = 83 + a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 j when four letters picked without replacement from njjjvtvtjvjvvvxjvjvj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. What is the lowest common multiple of 9 and 1\/w + (-30)\/(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 3*n, -q - 2*q - 2*n = -12. Solve -1 = -q*s - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9617.393 millilitres in litres?\nAnswer: 9.617393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 8*d**2 - 8*d - 9. Let u be w(9). Suppose -6 = -u*m - 3*m. Suppose m*x = -13 + 135. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40*((-6)\/8)\/(63\/(-168)). What is the common denominator of 48\/f + (1 - 7) and -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 - -0.2. What is the second biggest value in b, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, 335, 1010, 1943, 3128, 4559, 6230, 8135?\nAnswer: 10268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 17 = -7*w, 197 = w + 199 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.054?\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/148 and -49\/5.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from vnvsblbl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 - 242. Solve c*f - 10 = x - 5*x, 3*x - 10 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -3*k - k**2 - 1\/6*k**3 + 0. Determine z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z - z**3 - 7 + 7. Let y(x) = 2*x. Determine y(n(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -j - 3*c, -5*c = -3*j - c + 290. Suppose 11*z - j = 6*z. Calculate the remainder when 52 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 407*j - 121285. Give v(298).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -1400154.\nAnswer: 22\/233359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11427517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (1 - 2483*19\/9139)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 251757871 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 8*j + 176. Solve j = 5*v + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o**5 + 397*o**4 - 1787*o**3 + 2599*o**2 - 1460*o + 244 = 0. Calculate o.\nAnswer: -61, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 2 + z - 68*z)*(12 + 3*z - 12) in the form g*z**2 + c + l*z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + -5 - (sqrt(2736)*2*3)**2) + (sqrt(2736) + -1)*1 + 4.\nAnswer: -98497 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*s - 6*s, -5*g - 4 = 3*s - 10*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -268 - -129. Let d = -147.9 - u. Let i = d + 9. What is the smallest value in 2\/9, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + -6 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-6)\/50) + -2. Let r = -28968 + 28972. Sort r, -1, x, -5 in decreasing order.\nAnswer: x, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:24 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31058922 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 9*w + 13. Let i = -18 - -8. Let c be q(i). Suppose 0 = -5*y - c*b + 108 - 39, -y - 3*b = -21. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(3 + 4*j - 3)*(0 - 2*j + 0).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*n**6 + 9*n**5 - 91*n**4 + 2*n**2 - 17*n - 36 wrt n.\nAnswer: 840*n**3 + 540*n**2 - 2184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 51850025 = 5*k, -4*k + 9*h - 5*h - 41479980 = 0. Round k to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3201213123 (base 4) to base 9\nAnswer: -1657583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -461 in 6735, -2, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37d - 2bacc7?\nAnswer: -2bb266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/1160 - 29568\/957\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 0)*(-8 + 13). Find the second derivative of h*i - i - 3*i + 3*i**3 wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.9 - -0.9. Let d = -19 - b. Let k = 3 + d. What is the smallest value in k, -1\/5, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + c + 2. Let t be (-7)\/2 - (-4)\/(-8). What is the remainder when 54 is divided by x(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 12*z + 60 = 0. What is the common denominator of 363\/(-24) - 6\/(-2) and ((-8)\/z)\/(4\/(-345))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 + 2*z - 10. Let y be l(8). Suppose -18 = y*o - 42. Let s = -5 + 7. Solve o*x = s - 22 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(3\/(3\/2)). Suppose p - 5 = r + 2, k = 2*r. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ffvlllzzal.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 234*a - 3155. Give q(12).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.373 + 0.293. Let d = 24 + k. What is d rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/((l\/(l*l**(-3\/5)*l*l))\/l)*(l\/(l**(1\/3)*l*l*l))\/(l*(l\/(l**(2\/5)\/l))\/l)*(l**(1\/5)\/(l**(-1\/5)\/l*l))\/(l*l\/l**7*l*l*l*l*l**4) assuming l is positive.\nAnswer: l**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 11:22 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 2*c)*((0*c - 3*c + 2*c)*(-9*c + 2*c - 7*c) + (-3*c**2 + c**2 + 0*c**2)*(-1 - 1 + 1)).\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20272422+1\nAnswer: 20272423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 + -165. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*20\/(-10)*13\/130?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 2. What is b(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 1935495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239507 or 700?\nAnswer: 700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-2\/29)*l)\/l*l\/(l**(-3\/2)\/l))**12)**(-8))**(10\/9) assuming l is positive.\nAnswer: l**(-31840\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Suppose -3*w = w - 8, -2*c + 5*w - 6 = 0. Let h(z) = z**2 + 8*z - 6. Let q(u) = c*l(u) + h(u). Determine q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4*0)\/(-2). Let v be (-1 + y)*1\/(-1). Let g be 3\/v - (-31)\/(-10). Which is greater: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 64147440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g**3 + 25*g**2 - 110*g - 5. Give l(4).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1534*q - 1532*q + 250 = 0, -4*c - q = -348 for c.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120.06925 - 120. Round w to 3 dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33151821.\nAnswer: 3, 41, 269527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112679190.\nAnswer: 2, 3, 5, 13, 193, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 4*w + 7. Let r = w - 11. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*v + 0 + 3*v.\nAnswer: -2*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 416, 625, 834, 1043?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1100) + 0 + sqrt(1331) + sqrt(1331) + sqrt(11).\nAnswer: -2 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 336?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(55)\/sqrt(80)))\/(sqrt(1280)*-2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 527 = -f + 5*v + 99, 0*v + 29 = -4*v + 13 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2932 = -488*a, w + 10*w = 13*w - 5*a - 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*h**3 - 11\/3*h**2 - 4\/3 + 19\/3*h.\nAnswer: -(h - 1)*(h + 4)*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3563534726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -339225.899 to the nearest 100.\nAnswer: -339200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-123)\/(-6) + 1\/4 and (46\/(-7))\/(12 - 16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452264783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 6 (c) -36\/29 (d) 0.3 (e) -2\/7 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -35 - (3 - 1)) + (3 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 108*c**2 + 6*c + 6. Let v be r(-5). Suppose -1374 - v = -5*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3238 + 3343 = 35*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 + -132. Let d = 59 - o. Solve d*w = 7*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(-2 - 3 + 7)*(-27*w - 4*w - 24*w).\nAnswer: -440*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 53 = -45. Suppose l - n*k - 3 = 5, 3*k = -2*l + 9. Let r be (-3)\/(-30)*l - (-32)\/5. What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 16.11, -2\/15 in increasing order.\nAnswer: -13, -2\/15, 16.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -615460 != -6770054\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -86. Suppose c = -5*v + 2*v + 2*h, -2*v - 2 = 4*h. What is the closest to 0 in -0.4, 0.057, v?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2208 and 179400.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.665 + 1.335. Let j = 3 + -2.8. Let t = -0.3 + j. Is t <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26778 is divided by 372.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 748.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*l = -12, -m = l + l + 6. Let k(u) = -4*u. Let n be k(m). What is the units digit of -4 + 1 + n + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Let l(z) = 4*z + 26. Let s(j) = 5*d(j) + l(j). Give s(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i. Suppose -3*s + 12 - 3 = i. Let p = -19116 + 19116. Solve -s*t - t + 4 = p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4 - 3026*h**3 - 6*h**2 + 9082*h - 6052 = 0. Calculate h.\nAnswer: -2, 1, 1513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 5*x - 6. Let r be z(3). Let y be 3\/(-2)*8\/(-6). Suppose 0 = -l + y*h + 11, -3*l + h + 9 = l. Sort l, -2, r in descending order.\nAnswer: l, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 0.3768, 4?\nAnswer: 0.3768","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -2123*s**3\/6 - 1307*s**2\/2 + 3*s + 920. What is the first derivative of u(h) wrt h?\nAnswer: -2123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**3 + 53*k**2 + 90*k + 5. Give v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 169427 less than 0.3?\nAnswer: -169426.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.95 + 0.05. Let s = -1.4 + 1. What is the closest to 1\/4 in s, -1\/2, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12113*q - 165 = 20*n + 12118*q, 0 = 5*n - 4*q + 15 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:22 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95919897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -w. Let u(n) = n - 1. Let g(a) = -a**2 + 3*a + 4. Let m(y) = -g(y) + 3*u(y). Does 9 divide m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -84206.6692 and 0.3?\nAnswer: 84206.9692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-1)\/(21 + -11).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -19*l**5\/30 + l**4\/24 - 26*l**2. Let a(z) = z**2. Give p(a(g)).\nAnswer: -38*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -52.61\nAnswer: -210.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 533, 561, 607, 671, 753?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13319\/3 - ((-52)\/84 - 8\/(-28))?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 6*q**2 + 4*q**2 + (18*q + 14*q - 14*q)*(-q + 4*q - q).\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -104405 (base 6) in base 16?\nAnswer: -2255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4461*a = 38399 + 117736 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40558367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -414, -373, -332?\n\"Answer: 41*d - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -504482762+-1742\nAnswer: -504484504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 70 = -5*a + 40, 4*a = 5*z - 24. Let w(r) = -2*r + 4*r - 3*r**3 + 7 + 4*r**3 + 6*r**2. Determine w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 3*y)*(-2 - 2 + 1)*(-3*y + 6*y + 2*y)*(0 - 1 + 0)*(-3*y + 3*y - y) to the form o + m*y**3 + z*y + a*y**2 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1115 = 21*w - 1136. Solve 0*x - w = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520748 times 0.28\nAnswer: 145809.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 19920?\nAnswer: 139440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4)\/(-54) + 18 + (-53504)\/(-864) and 3888?\nAnswer: 19440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443278457 to the power of 1\/2, to the nearest integer?\nAnswer: 21054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u + 8. Suppose u*s - 14 = s. Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 17*d + 2*r = -2, 5*d + 4*r + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 46. Let a(g) = -3*g - 7. Let u be a(3). Let p be d(u). Suppose p*k = -5*k + 322. What is the highest common divisor of 46 and k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41282*x - 2*x**2 + 2*x**2 + 2*x**2 + 3200*x**4 - 41281*x as w*x**3 + r*x**4 + f*x + h + k*x**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -175, -268, -345, -400, -427, -420, -373?\n\"Answer: i**3 + 2*i**2 - 106*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 32. Solve -3*t + 5 = 5*q - 8*t, h*t - 30 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i + 71*i**2 - 3*i - 1 + 3*i. Suppose -5*m - r = 6, 2*m - 5*r = -3*r. Let f be c(m). What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 27*q - 376. Let a be y(14). Sort 12, a, -6 in descending order.\nAnswer: 12, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -3. Suppose -5*d - 18 = x. Let m(a) be the third derivative of -5*a**4\/24 + a**3\/6 - 2*a**2. Let n(y) = 4*y - 1. What is d*n(r) - 5*m(r)?\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1230 (base 7) to base 9\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 164*m**2 - 29*m - 7. Let c(z) = 114*z**2 - 19*z - 4. Determine -8*c(v) + 5*h(v).\nAnswer: -92*v**2 + 7*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892, -311, 276, 875, 1492?\nAnswer: 2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/531 + 12\/59. Let m(p) = -3*p - 60. Let u be m(-20). Factor 0 - 4\/9*a**5 - x*a**3 + 0*a + 2\/3*a**4 + u*a**2.\nAnswer: -2*a**3*(a - 1)*(2*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k**3 - 5361*k**2 - 3851*k + 2788. Give x(256).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**3 + 6*z**2 - 10*z + 1. Let t(o) = 2*o**3 + 2*o**2 - o. Let v(u) = 6*t(u) - w(u). What is v(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39911021 divided by -2.\nAnswer: -39911021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*n - 8, n + 0*l = -3*l - 6. Suppose 8 = 4*v + 3*p, -4*v + 0*p + 3*p + 8 = n. Let o be (0 - (0 + 0))\/(-1). Solve v*i + 10 = -o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*r + 22. Let j be 1 - (-8)\/((-56)\/r). Sort 0, -5, 5, j in decreasing order.\nAnswer: j, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 9:56 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-325)\/(-15)*-24*(-5)\/200\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2254*b + 8 = -2246*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -3, -4, -48, 6, -6 in decreasing order.\nAnswer: 6, -3, -4, -6, -17, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17) - (-2 + sqrt(272))))*4.\nAnswer: -12*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f + 38. Let i be y(-3). Let m(n) = -n**3 - 11*n**2 - 11*n - 36. Let t be m(-11). Calculate the greatest common factor of i and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 + 226 + 47*v - 448 + 44*v.\nAnswer: 91*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 20. Suppose 3*c + 2*v - 30 = 0, -m*c - 4*v = -c - 24. What is the smallest common multiple of c and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 7. Let z = -8 - -1. Let s be k(z). Suppose 46 = 2*i - s*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 23*b + 94. Let g be k(5). Find p, given that -10\/3*p**4 + g*p**3 + 0 + 2\/3*p**5 - 16\/3*p + 8\/3*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 18*x - 72. What is the remainder when 47 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 3*y**2 - 2*y + 73 + 4*y**3 - 73 as r*y**2 + j*y**3 + q + t*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1802 and 36.\nAnswer: 32436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2)\/((-2)\/5). Suppose 34 = -5*j + 22*j. Let l(o) = -836 + j*o + 418 + 421. Determine l(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*p + 1, -4*p - 3*d - 2 = -d. Find the second derivative of -6*j + 6*j - 3*j**2 + p*j**2 - 3*j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2400948370?\nAnswer: 2, 5, 240094837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 138. Suppose 27*q - m = 23*q. Let 0 - 1\/4*o**3 + 0*o**q + 1\/4*o = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6480\/(-296) + (44\/(-26))\/(985\/(-12805))\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -4, 2, 4.\nAnswer: -4, 2, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64262019*g**2*u**3 + 82820544*g + u**3 wrt g?\nAnswer: -128524038*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54374, -217420, -489162, -869600, -1358734?\n\"Answer: -54348*g**2 - 2*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 29*y**2 + 7*y**3 + 30*y**2 - 3 - y + 0 to v*y**3 + x*y + c*y**2 + f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:47 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*t - 16. Let m be ((-189)\/(-30))\/3*2. Let h = m - 5. What is the closest to 2 in h, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312120003 - -11?\nAnswer: 312120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71396 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -620? (a) -1\/6 (b) 3 (c) -0.29 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 + (-306)\/36 - (7 + 0). What is the fourth smallest value in r, -667, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44177562 and 125862.\nAnswer: 44177562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**4 - 7*k**3 + 11*k**2\/2 + 13*k - 48. Let w(s) = 2*s**3 + 10*s**2 - 5*s - 6. Give -6*u(r) - 13*w(r).\nAnswer: -2*r**3 - 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281727\/1232 + 2511\/11. Find the common denominator of s and -55\/18.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21*(-379)\/3)\/(2\/(-2)). Suppose -7980 = -3*y + y. Let n = u + y. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166.8 - 182. Let t = c + 7.2. Let n be (-7)\/(-28) + 13\/(-20). Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.2149658 rounded to 2 decimal places?\nAnswer: -17.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - 48*v. Let j be c(12). Suppose j = -8*x + 62 + 2. What is the smallest common multiple of x and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.82 - 0.04. Let f = z - -0.818. Put -2, f, -0.4 in descending order.\nAnswer: f, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670463 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -985, -3906, -8763, -15556, -24285, -34950, -47551?\n\"Answer: -968*r**2 - 17*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754 is divided by 7\/((-14)\/18) - (-7 - 22).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 540*z + 9408.\nAnswer: -3*(z - 196)*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-625)\/10)\/25)\/(50\/420)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.9 - -15. Put d, -3, 0.3 in descending order.\nAnswer: 0.3, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54110 (base 13) to base 4\nAnswer: -211003133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 2:12 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 + 1244\/66 - 56\/308. Determine a so that b + 20\/3*a**3 + 16*a**2 + 2\/3*a**4 + 44\/3*a = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11856555 divided by -3952185?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-384)\/(-15) - 1) + 4\/10. Let c = 59 - 56. Suppose -2*i + w = -7*i, -i - 347 = -c*o. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -39 (b) 0.18 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546076?\nAnswer: 2, 136519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a factor of 4415035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**11)**(-15)*(q\/(q**(-1\/2)*q))**(-31))**(-17) assuming q is positive.\nAnswer: q**(6647\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2*f - 2*f - 2*f) - 2*f + 0*f + 3*f + (f - 4*f + 2*f)*(1 + 1 - 11).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293764, 587531, 881298, 1175065, 1468832, 1762599?\nAnswer: 2056366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 12496*c - 87668.\nAnswer: 4*(c - 7)*(c + 3131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -846251*q**2*u**3 + 2*q*u**3 + 1041*q*u**2 + q - 24 wrt q?\nAnswer: -1692502*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 6*z + 210. Let w be 1 - -2 - 238\/z. Which is the second smallest value? (a) 2 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q + 258 = 5*p, 5*p - 675 = -5*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14694206.59099571 + 14694051.591. Let t = 155 + d. Round t to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c - 65 = 0. Let i = -65 + 101. Calculate the remainder when i is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 250?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 + 204*t**2 + 1 + 2 - 158*t**2 to o*t**2 + y + d*t and give o.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/12*(124\/6 + -2). Let j = 86 - n. Let b = j + -13. Solve -d = -b*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {c: 10, y: 2}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 32 = 3*t + 4, 32 = 3*t - 2*s. Let d(g) = 2*g**2 - 4*g. Let j be d(3). Calculate the remainder when (0 - t\/j)*-3 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.74533896 + 0.25480354. Let g = f - 32. What is g rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 454 + 602 = 19*g. What is the smallest common multiple of g and 6512?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -22, -1\/3, 12, -690, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19863 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 495807?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10949 - -1703. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18530976*-0.1\nAnswer: 0.018530976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - j - 1. Let m(c) be the first derivative of 3*c**4\/2 - 5*c**2\/2 - 6*c - 1291. Let t(z) = z**2 - 4. Let p be t(3). What is p*h(s) - m(s)?\nAnswer: -s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -71, -82, -2 in descending order.\nAnswer: 9, -2, -71, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*v = 3*v, 4*b + 5*v - 12 = 0. Let g = -0.01 - -0.41. Put g, -0.2, b in increasing order.\nAnswer: b, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Let c(v) be the first derivative of 3*v**2 + 4 + p*v**2 - 7*v**2 + 3*v**2. Let r(s) = -6*s**2. What is r(c(g))?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 63 + 15 = 0. What is the lowest common multiple of v and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (2*3\/(-2))\/((-33)\/110).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/24 - a**3\/6 + a. Let d(n) be the second derivative of i(n). Let t(w) = -2*w + 6. Calculate -4*d(r) + t(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 4*p - 107. Solve l + 2 = -p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.441 and -0.4?\nAnswer: 28.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19490 + 2*x + 19490. Let k(a) = 2*a. Let n(r) = 6*r. Let b(u) = -16*k(u) + 5*n(u). What is l(b(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n\/n**(-1))\/n))\/n*n)\/(n\/n**(-5)))**(-22) assuming n is positive.\nAnswer: n**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6592404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296260 - -296263.000016. Let k = f + -3. Round k to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**2 - 8*b + 10. Give z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 44 = 116. Let b be (42 + -2)\/((27\/(-554250))\/l). What is b rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2421)\/(-3497)*(-1001)\/(-21)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -41. Suppose -5*n + b = 8. Suppose 2*g - 57 + n = 0. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(-5\/18)*(d\/((d\/(d*d**(-2\/3)))\/d*d)*d)**(-30)*((d\/d**(-1))**(3\/17))**37 assuming d is positive.\nAnswer: d**(-8159\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.43971253 to three decimal places.\nAnswer: 13.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 171*o**3 + 2*o**2 - 607*o - 1210. Determine j(-2).\nAnswer: -1356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*o - 381*o - 81*o + (-3*o + 0 + 0)*(-1 + 0 - 1).\nAnswer: -496*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2962 - -4642. Suppose 15*r = 7*r - m. Let b = r - -372. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1230406*c**2. Let f(x) = -19*x. Give i(f(a)).\nAnswer: 444176566*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -102?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 142300 (base 7) to base 13\nAnswer: c529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 11. Let k be u(13). Let f be (4 + -3)\/(k\/(558\/3)). Let p = f + 146. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 + 11*o - 2. Let i be a(-10). Let d(m) = -3*m + 6*m - 7*m + 0*m. List the prime factors of d(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49324369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 268790813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -f + 2, f - 2 = -x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15 + 11\/(385\/(-6))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/3 (c) -2\/3 (d) -54 (e) -19 (f) -5 (g) -402\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(13))*3 + (sqrt(13) + -4*(sqrt(13) + sqrt(117)) + -5*sqrt(117))**2 + (-1 + -1 + 1*sqrt(325))**2 + 5.\nAnswer: -14*sqrt(13) + 12040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 5*a)*(-2 + a + 2 + 3*a - 3*a - a + (2 - 3 + 3)*(-2*a + 5*a - a) + 0 - 2*a + 0) - a**2 + 1 - 1 as o*a + w*a**2 + i and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a + 8?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:47 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 0.31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (8 - -3) + -8 - -3) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*f - 194*f + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/36 (b) 0.5 (c) 0.3 (d) -1\/2 (e) 1\/5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 10*b + 6. Give i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 8520.\nAnswer: 3\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -12*n + 10. Let f = -61 - -56.2. Let j = -0.8 - f. What is the nearest to -1\/3 in n, 2\/13, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-36)*44\/(-165).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 101 + 105 - z + 109 - 286. Give u(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252540 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40059065 to the power of 1\/3, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**2 + 4*j**4 - 23 + 14*j**2 + 25 - 2*j to k*j**4 + a*j**3 + x*j + c + h*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8140247 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 391*h*i**2*o*p - h*i + h*p + 2*i**2*o + 5*i**2 + i*p wrt o?\nAnswer: 391*h*i**2*p + 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -16*i**2 + 11*i + 11. Suppose -y - y + 22 = 0. Let z(t) = -3*t**2 + 2*t + 2. Calculate y*z(d) - 2*l(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -h + 493, w + 7 = 4. What are the prime factors of h?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 848*m + 71281. Calculate g(-84).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cov when three letters picked without replacement from {w: 1, x: 3, v: 1, o: 3, f: 2, c: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -501 - -543. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -4\/3 (b) 1\/12 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -11*q - 33. What is the remainder when q is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1020380 and 217.\nAnswer: -221422460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -3404, -7591, -13452?\nAnswer: -20987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-12)*8\/(-3). Which is the closest to -1? (a) -0.1 (b) f (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 + -4 - (2 + 1 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/1575*(-5)\/(-2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19603*0.874.\nAnswer: -17133.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 15*a**2 + 20*a + 79. Let p be c(-14). Sort 6.1, -0.3, 2\/19, p in decreasing order.\nAnswer: 6.1, 2\/19, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/((-4)\/6). Suppose 3*b = v*i + 118, 2*b + i - 64 = 6*i. Suppose 0 = 7*x - 4*x - b. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:05 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from ooommso.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 4939.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 34*g**7\/7 + 5*g**6\/2 + 734*g**3 - g - 1447. What is the third derivative of y(m) wrt m?\nAnswer: 4080*m**3 + 900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1651, 6446, 14439, 25630?\nAnswer: 40019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5490755*u - 2578873 wrt u.\nAnswer: -5490755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h - 31. Let s be f(-11). Suppose -u + s = 4*z + u, 2*u = 5*z - 135. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111673272 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 15*n**3 - 25*n**2 + 10*n = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 590.7584 millilitres?\nAnswer: 0.5907584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17875164500 to the nearest 1000000.\nAnswer: 17875000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/133, -1\/6, 3\/7, 3, 4 in ascending order.\nAnswer: -1\/6, 2\/133, 3\/7, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517225307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 27*c**3\/2 + 37*c**2 - 24*c.\nAnswer: c*(c - 24)*(c - 2)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.002 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.5 + 2. Let a = -7.5 + k. Let g = a - -9.0035. What is g rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*c - 4*l, -c - 16 = -4*c - 4*l. Let n(w) = 3*w**3 + 2*w + 11*w**3 + 0*w + 2*w**2 + 4. Let j be n(c). Round j to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*v + 354, v - 108 = -18*h + 17*h. What is the remainder when h is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/125, -6, 4\/67, -2\/11.\nAnswer: -6, -2\/11, -2\/125, 4\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + 5*j**3 - 3*j**3 - 3*j**3)*(1 - 3 - 2).\nAnswer: -12*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -5 (b) 2\/17 (c) -1\/24 (d) 4 (e) 6.1 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 10 = y. Let b(w) = -w. Let i be b(y). Solve -a + 5*a - h - 1 = 0, -i*h = 5*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*1\/2*-19*28\/(-190)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.22777 and 4.49.\nAnswer: 4.71777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*i**3 - 18*i**5 + 11*i**3 + (-5*i**4 + 3*i**4 + 0*i**4)*(-2*i + 4*i + 0*i)*(16 - 23 + 42).\nAnswer: -158*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.035 - 12. Let a = -430 - -430.265. Let y = v + a. What is the closest to 2 in y, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 2. Let t(y) = 269*y + 6. What is 2*t(b) - 6*w(b)?\nAnswer: 532*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1317*f**5 + 2*f**2 + 65573*f wrt f.\nAnswer: 26340*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(18270\/(-280) + 65).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1861 = 4*h + 737. Let d = -199 + h. Suppose -5*b - d = -0*o - o, -5*o + 3*b = -344. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 45628863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -265424 or -265440?\nAnswer: -265424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.960418 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(-9)\/(-63)*-1. Let p(y) = -4*y - 29. Let s be p(-6). Let b = -6 + 3. Sort g, s, -7, b in descending order.\nAnswer: g, b, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/13, 61, 3?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.47? (a) -2\/15 (b) 4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1 - o**3 - 2*o + o**3 + o**3 - o**2 + 0*o**2. What is x(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:08 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32017855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11*u + 379. What is w(11)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023882650885 to 5 decimal places.\nAnswer: 0.02388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17539987\/11 or 1594544?\nAnswer: 1594544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -505, -1129, -1993, -3091, -4417, -5965, -7729?\nAnswer: -9703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19005944.\nAnswer: 2, 2375743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000834607 rounded to 5 decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/(-1*sqrt(6)) - ((-1*sqrt(143) - sqrt(143))\/sqrt(11) - sqrt(13))**2) + (sqrt(325) + 1 + sqrt(325) + sqrt(325))**2*-3)*-6 + 2.\nAnswer: 546*sqrt(13) + 53372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from {t: 1, r: 2, q: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6761394?\nAnswer: 2, 3, 41737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.31 and 1318513.\nAnswer: 1318513.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 2*l**3 + 4*l**2)*(-2*l - 5 + 5) - l**4 + 2*l**4 + l**4 + 28*l**4 + 12*l**4 + 4*l**4.\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -94383216 divided by 7865268\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 139863*a + 139866.\nAnswer: -3*(a - 46622)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -6*p + 2*p. List the prime factors of (-1)\/(-3)*-3 - p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113032111 - 41?\nAnswer: -113032202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 289 (b) 0.5 (c) 0.3 (d) 1.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 48.7537890531.\nAnswer: 47.7537890531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4042*p. Let x(c) = -766*c - 2. Calculate x(m(k)).\nAnswer: -3096172*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298.7 - 298.62579. What is f rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -4*i**2 + 1\/24*i**4 + 0 + 0*i - 1\/2*i**3. Determine y(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8803*r - 35262. Calculate t(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -107509 (base 11) in base 10?\nAnswer: -170982","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166938?\nAnswer: 2, 3, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -239 - -9) + 5. Let u = 232 + q. Solve -5 - 4 = -4*l + a, 3*l - u = 2*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*6\/(-24))\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-6))\/((-18)\/24). Suppose 0 = -4*h + 2*u - 4 + 22, 9 = -2*h - 5*u. Calculate the lowest common multiple of (c\/1)\/h - -6 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -47. Solve 5*y - y - 2*l = -18, 2*l + v = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-15) + 1 + (-423)\/(-45). Solve 1 = 5*u - v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 + 7*j**4\/8 + 43*j**3\/6 + 725*j**2. What is p(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjejkie. What is prob of sequence eekj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15358 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -254*r + 233*r + 399 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43427029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) -479964\/13 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.1212406 to two dps.\nAnswer: -164.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*w**2 + 3*w**2 + 4*w**2 - 2*w**3 + 10*w in the form l*w**3 + u*w + h + r*w**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = -156. Let j = -19 - v. Solve 2*b = -2*b - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:24 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(-1 + sqrt(847))*2*-2.\nAnswer: -176*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52074 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 3. Suppose -3*x + o = 2*w - w, 3 = w + x. Let z(j) = 0*j + 2*j - w*j. Let i(m) = m. Give i(z(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32235085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/73222 and -9\/2362.\nAnswer: 73222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -573 or -596?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0*x**5 + 0*x**4 + 1\/2*x**6 - 13\/6*x**3 - x + 0 + 0*x**2. What is the second derivative of q(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*z - 17, 2*u - 5*z - 8 = -z. Let j = 18.4112 - -0.1088. Let a = -0.48 - j. Does a = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9969, -39266, -87873, -155790, -243017, -349554, -475401?\nAnswer: -620558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59181\/8 + 7385. Calculate the common denominator of r and -19\/59.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 15*x + 5. What is d(8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 4*i**4 + 3*i**2 + (-1417*i**3 + 1417*i**3 - 107*i**4)*(0 + 3 - 1) in the form k + v*i + d*i**3 + y*i**4 + t*i**2 and give y.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*q**2 - 7*q**2 - 25*q**2 + 52*q**2 + 5 to the form x + f*q + h*q**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2002054 or 2002123?\nAnswer: 2002054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13*k*k*k**13)\/(k**(-9)*(k*k**(-10\/13))\/k) assuming k is positive.\nAnswer: k**(491\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjrzlrjjrjrzrzz. Give prob of sequence zr.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + -17 - 33 - -25.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2010122?\nAnswer: -2010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 2 (c) -7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + 2*z**2 + 2*z. Calculate x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11000101 (base 2) to base 5\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -950 + 979. Calculate the greatest common factor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 - -2.1. Let h = k - 0.2. Let m = 1 - 0.9. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r**2 - 4*r**2)*(-3 - 2*r**3 + 3) - 2*r**5 - 2*r + 2*r.\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6726 and 84778?\nAnswer: 15005706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/68 and ((-3)\/32)\/(90\/408).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28729554 to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/15)\/(12\/(-10)). Let w = 0.23 + -9.23. Let h = w + 13. Which is the smallest value? (a) r (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 310?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 17. Calculate the remainder when 46 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 10*o + 2. Let a be 5\/(-15)*-24 - -8. Suppose 0 = -m + 11 - a. What is u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 1483*r**2\/4 - 5911*r\/4 + 7395\/4.\nAnswer: -(r - 1)*(r + 5)*(r + 1479)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. What is the smallest common multiple of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 1. Let l be z(1). Sort l, 3, 4, -3.\nAnswer: -3, l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 7*h + 7. Let j = 11 - 0. Let q(l) = 8*l**2 - 5*l - 5. Let v(i) = -3*i**2 + 2*i + 2. Let o(y) = j*v(y) + 4*q(y). Give 6*b(p) - 21*o(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5292*x**3\/5 + 3276*x**2\/5 - 33*x + 2\/5 = 0.\nAnswer: -2\/3, 1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, -3, -12?\n\"Answer: -9*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 23*q**2 + 16*q**2 + 0*q.\nAnswer: -7*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 10:38 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13737115363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(10)*-2 - (sqrt(171)\/sqrt(9) + sqrt(19))*-4.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - (-5 + 3 + 0 + 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -580.91, 3, -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Suppose -2*w + 5 = j, -o*w + 2*j = -w - 26. Let q = -20 - -20.4. Sort -2, q, w in descending order.\nAnswer: w, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 658\/19 or 2\/869?\nAnswer: 658\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63704122 rounded to four dps?\nAnswer: -0.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g\/g**(1\/7)*g*g*g*g**(-23))**(-48) assuming g is positive.\nAnswer: g**(5088\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66846044 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 458158 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:10 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**9*o**(-1\/8) assuming o is positive.\nAnswer: o**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -372014+1201.79\nAnswer: -370812.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.398 - -1.26. Let c = m - -0.13800166. What is c rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.795 + -2.995. Let y be (-42)\/(-104) + 4\/(-16). Which is the closest to k? (a) y (b) 2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 15, i: 5}. Give prob of picking 2 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.9 (b) 16 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 16 = -3*p, 6 = 2*p - 2*l - 3*l. What is the nearest to p in -1\/7, 3\/4, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5647927789 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151609090.\nAnswer: 2, 5, 349, 43441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (44\/66)\/(2\/(-165)*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2318513.887 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w**2 - w - 3. Suppose -3*s - t - 186 = -3, s - 3*t = -71. Let d be s\/(-31)*(2 - 2\/4). Calculate k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28872 + 8084117\/280. Calculate the common denominator of -87\/2450 and k.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1807335 and -13\/45.\nAnswer: 1807335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4*p**2 - 3*p - 4. Determine v(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - 0.0100024. Round f to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154714*a**5 + 1001664*a**2.\nAnswer: 9282840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2405 and 14685892.\nAnswer: 73429460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 31*q**4\/2 - 6468*q**2. Let g(u) = -19*u. Calculate v(g(r)).\nAnswer: -7068*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*d)*(815 - 407 - 407 + 234*d).\nAnswer: -468*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:09 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 + h. Let w be s(-4). Let j = w + 25. Calculate the remainder when 615\/j + (-4)\/14 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, -2, -17 in ascending order.\nAnswer: -151, -17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tntnnttttt. What is prob of picking 3 t and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*b - 3. Let f = -3 - -5. Suppose 5*u + 2*k - 9 + 0 = 0, 0 = -4*u + f*k. Calculate the greatest common divisor of b and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 14 = -2*a, 2*x + 345 - 328 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 17 + 20 = s, -5*v = -s + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 592, 722, 910, 1156, 1460?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-3)\/(54\/(-75))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 1 - 1)*(-2 + 2*u + 2) + u**2 - 2*u**2 + 2*u**2 + 0 + 2*u**2 + 0 - 15*u + 30*u**2 + 15*u + 10*u**2 to c*u**2 + k + b*u and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 14*g + 8*g + 24*g**2 - 28 + 8*g**3. Let a be v(12). What is a rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7887 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v**2 - 4 - 22*v**2 + 3 + 3.\nAnswer: -127*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6176?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4835648 and -47\/32.\nAnswer: 4835648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z - 5*z - 11*z as d + q*z and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 + 5*w - 15. Let b(k) = 6*k**2 - 6*k + 14. Let a(l) = -3*b(l) - 2*v(l). Give a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*a + 21, a - 2 = -7. Suppose -s + k*w - 3 = 0, -w + 5 = s + 3*w. Solve -4 = c - s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316 divided by 154?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2\/7 (c) 0.02 (d) 306 (e) 0.5 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101001 - -2?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 38683 + 5*m**3 - 40*m + 38682 + 3*m**2 as k*m**2 + q + z*m**3 + p*m and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 552\/11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58904*r + 9*r**3 - 39 + 58904*r + 39.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9*m - 12. Suppose -m*w = 121 - 517. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 times 0.1?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/(-455)*1*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -210, -400, -666, -1008, -1426?\nAnswer: -1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2544214 is divided by 5048?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -10. Do a and 6\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/6*3 - -17. Suppose l*x = 18*x - 545. Let h = x + -57. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2346?\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 4*r - 5. Let w be m(3). List the prime factors of w\/5 - 284\/(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(130)\/(sqrt(10)*-1) - (-2*sqrt(1053)*-3)**2.\nAnswer: -37905 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*v + 6*v. Let y(x) = -6*x**2 - 2*x + 3. Let r(t) = 13*t**2 + 4*t - 7. Let z be 9\/((-27)\/96) + 3. Let l = -25 - z. What is l*r(o) + v*y(o)?\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -0.037979?\nAnswer: 0.462021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6027 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**29)\/z)**28\/(z**(2\/83)*z*z**(-21)*z))**2 assuming z is positive.\nAnswer: z**(-131642\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 60. Let w be r(-11). Let j = 200 - w. What are the prime factors of j?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2 rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1525 and 8662?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let m(s) = -39*s**2 - 6*s + 3. Let h(a) = 117*a**2 + 20*a - 10. Let d be (-3)\/3*(6 - -4). Let i(w) = d*m(w) - 3*h(w). What is o(i(g))?\nAnswer: 3042*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 69\/2*n**3 + 51\/4*n**2 + 129\/4*n**4 - 3\/2*n - 9*n**5 = 0. Calculate n.\nAnswer: 0, 1\/4, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 14*i**2. Let g(y) = -84*y**2. Determine g(l(v)).\nAnswer: -16464*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 41440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 28*v**2 - 44*v - 101. What are the prime factors of p(25)?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa + -1d?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -9*m**8\/14 + 1009*m**5\/20 - 6*m**2 - 5*m - 1. Find the third derivative of t(x) wrt x.\nAnswer: -12960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43713 and 3089052?\nAnswer: 9267156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/40 - (18\/4)\/(1596\/247)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9095674?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 104\/468*(-9)\/(-5). Let q(n) be the first derivative of -1\/2*n**2 - f*n**5 + 0*n**3 + 0*n + 0*n**4 + 3. What is the second derivative of q(k) wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + 186 - 143 - a**2 + 15*a + 48. Let f be b(23). Suppose -4*q - 25 = q. Sort f, q, 1.\nAnswer: q, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54 + 0\/(-2))*7\/(-21)*1. Let a(k) = 7*k**2 - 5*k + 5. Let x be a(2). Solve -u + x = f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1) + 4\/(-4). Which is greater: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 84. Suppose 2*u - 36 = v. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -16. Which is the third biggest value? (a) m (b) -143 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 430 - 198. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*m + 6, -18 = l - 6*m + 2*m. Let v(w) = -7*w**2 + w - 2. Calculate v(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 7:29 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4 = -6*u, 0 = -128*m + 130*m - u - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*1\/(-4) + (339958\/8)\/59. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 10235 = 10307 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.778344 - -4187758?\nAnswer: 4187758.778344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + u - 14 - 7 = 0, -5*u = a - 29. Suppose 0 = 5*r + 5*k - 5, -a*k - 7 - 1 = 0. What is the units digit of 24\/10 - r\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, 0.2, 0.12, 0.1, 2 in ascending order.\nAnswer: 0.1, 0.12, 0.2, 1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -78*y + 70*y + 720. List the prime factors of -1 + (-9)\/(-5) - (-19098)\/y.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-65674\nAnswer: -19702.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = -s. Let y be s\/(-9) - (-42)\/9. What is the remainder when 15 is divided by ((-36)\/(-10) - y)*-10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114865 - 24.\nAnswer: -114889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904 a factor of 353194862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298074 divided by 1?\nAnswer: 298074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.522973*0.5\nAnswer: -0.2614865","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12379785 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 97*a. Suppose h = -5*j + 3*h - 5, -h = -2*j - 3. What is the remainder when d(j) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millisecond in microseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6149413, -12298806, -18448197, -24597586?\n\"Answer: y**2 - 6149396*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-29)*m)*m)\/m*m**(-6\/7) assuming m is positive.\nAnswer: m**(197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*b - 870, -1118 - 1117 = 5*b + 2*m. Sort b, 4, 3 in descending order.\nAnswer: 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16737 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93722 + 93722 - 974*h to v + p*h and give p.\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 - 13*b**2 + 2*b + 7. Let y(f) = -f**3 + 4*f**2 - f - 2. Calculate 2*s(n) + 7*y(n).\nAnswer: n**3 + 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 2:44 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*j - 1378 + 2628 = -3220 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -556 + 1429. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 1 - (-63 - 10 - 2) - 9?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/((k*k**1)\/k))*k)*(k\/k**(2\/15))\/k*k)\/(k**1*k**3))\/(k**(-5)\/k**(-9)*((k\/k**(-1)*k*k)\/k)**0) assuming k is positive.\nAnswer: k**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173840 by 8692.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/10)\/((-2)\/132). What is the greatest common divisor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -3*f - 22, 4*f + 7 = -g. Sort 1.8, f, 0, 4 in ascending order.\nAnswer: f, 0, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let o = -2.773 - -3.073. Which is the nearest to -2\/3? (a) -1\/5 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*((-6)\/(-15))\/2\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*a - 2 = 5, 3*a = -2*k - 11. Let o be (1\/(-2))\/(k\/(-2)). Let j be (-16 + 0\/(-1))\/(-53 + 51) + -8. Is o greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 9*l + 37*l - 16*l - 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 + -129. Suppose 4*b = 37 - 5. Suppose -117 = -b*u - 5. What is the greatest common factor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202746289.\nAnswer: 101, 2007389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/3 - 10918*k - 89402043 = 0.\nAnswer: -16377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 6 - 16. What is the first derivative of -2 + r + 18 - 2*h**4 - 26*h wrt h?\nAnswer: -8*h**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9116 + 13301. Calculate the greatest common divisor of 135 and z.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 11*m**2 + 10*m + 4. Let v be x(-10). Solve 5*d - 1 = v*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5\/5 + 4986*p**4\/5 - 59520*p**3 = 0.\nAnswer: 0, 62, 1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 + 1 = 0. Let j(y) = 6*y - 4. Let u = 692 + -685. Let c(q) = q + 1. Let z(b) = 4*b + 7. Let x(d) = -6*c(d) + z(d). Give h*j(t) + u*x(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 358*k**2 - 11049*k - 10692.\nAnswer: -(k + 1)*(k + 33)*(k + 324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36337*w - 158408 - 158413 + 316821 as p*w + o and give p.\nAnswer: 36337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 153804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j\/(j\/j**(1\/5))))*j**(-2\/3)*j*((j\/(j**(-6)\/j))\/j)\/(j\/j**(-6)) assuming j is positive.\nAnswer: j**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*q + 70 = 1246 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -68 (b) 2.8 (c) 26875\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175488729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k**4 + 294*k**3 - 897*k**2 + 558*k. Let z(m) = 6*m**4 - 117*m**3 + 359*m**2 - 223*m. Let u(x) = -5*i(x) - 12*z(x). Find y such that u(y) = 0.\nAnswer: 0, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + -5.13. Let c = 28 + -46. Let n be (2\/(-16))\/(6\/c). Sort u, n, -2\/7 in ascending order.\nAnswer: u, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -161.\nAnswer: -161.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -33. Let t = 827 + -782. What is the highest common divisor of t and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 4*a + a + 10 - 4*a. What is the tens digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658\/11 <= 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z = 5*s - 31*z - 16, -4*s = -5*z + 4. Solve 0*r - 1 = 2*d + 5*r, -3*d - s = 5*r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3065016?\nAnswer: 2, 3, 127709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 32287267.2 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 402457640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - (-2)\/4*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 12001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318692.\nAnswer: 2, 11, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7\/6)*f\/(f\/(f\/((f*f\/f**(-15))\/f))*f)*(f\/f**(-11))\/(f*f**36))**(-15) assuming f is positive.\nAnswer: f**(1165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 20*x - 18*x - 28, b + 4*x = 21. Let k(f) = f + 8. Let h be k(0). Solve 0 = -b*a + h - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + -1)**2 - 3*sqrt(77)\/sqrt(7))*-3.\nAnswer: -3303 + 69*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -1.2757.\nAnswer: -2.0757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/5, 0.042 in decreasing order.\nAnswer: 2\/5, 1\/4, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2511251 (base 8) in base 10?\nAnswer: -692905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25624*f**2*z**3 + 36378*f**2*z - 4*f*z**3 - 13*f - 2*z**2 wrt z?\nAnswer: 153744*f**2*z - 24*f*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/((-1)\/(-3 - (-18)\/4)). Let s = u - -68. Let c be (8 - 8\/(-4))\/s. What is the highest common divisor of 15 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, -3, 328, -105, -2 in descending order.\nAnswer: 328, 2, -1, -2, -3, -5, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 - f - 1. Let b be l(-1). Differentiate -b*q**2 + 33 + 41 - 90 with respect to q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 8*w + 5 = -3*n, 2*w = -3*n - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1437 and 45145271.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 89\/67, 3, 4, 5 in descending order.\nAnswer: 5, 4, 3, 89\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = -v, 0*v = 4*o + 5*v - 5. Let p = 1 + -1. Is p greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r - 374 + 46 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c + 1 = -40*c. Is -130*21\/(-6)*c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 20 = -2*h, -3*g - 5*h = -24 + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27074*z**3 - 27087*z**3 - 1818*z**2 + 1818*z**2.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 196\/5. Suppose -4*m + 0*m = 4. Which is the closest to 1? (a) 2\/13 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1383 and -4.16.\nAnswer: -5753.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-12 - ((8 - 2 - 3) + -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47455 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:32 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + ((-528)\/(-3))\/4. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 1, u: 1, q: 3}. Give prob of picking 1 u and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1287 and 802113?\nAnswer: 26469729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t - 15. Let f = -11 - -18. Is 17 a factor of j(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}