diff --git "a/data/dm_maths/full_data_2/1191_11255.jsonl" "b/data/dm_maths/full_data_2/1191_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1191_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k(p) = p + 4. Let b be k(11). Let s be 10\/b + (-19)\/(-3). Find the second derivative of 7 - 7 - 2*z - 7*z**2 - s*z wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = l + 4*x - 81, -4*l - 3*x = -588. Suppose -13*h + 7 = -84. Calculate the highest common divisor of l and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2010 divided by 16017.\nAnswer: -670\/5339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 8. Suppose -3 - 15 = -3*f. Let p be k(f). Let x = 0 - p. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96.81 + 0.81. Let d = -86.8 - r. Let p = d + -9.6. Sort p, 0.5, -1\/2, 1 in descending order.\nAnswer: 1, 0.5, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*r = 3*c - 5, r = 5. Let h be 6 + -6 + c*2. Suppose z - h*z = 6. Put z, 0, -1 in ascending order.\nAnswer: z, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973267?\nAnswer: 17, 57251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**27*t\/(t\/(t\/t**19)))\/(t**(-18))**(-19\/3) assuming t is positive.\nAnswer: t**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-5)\/8*-4. Suppose -5 = y - 0*f + a*f, -3*f = -5*y + 31. Suppose 0 = y*j + 3 - 18. Solve -j*i = -5*c + 4, -i - 8 = -c + 6*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/101 (b) -2 (c) 0.4 (d) -290 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 975.0165nm?\nAnswer: 0.0009750165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*l - 12, 3*o + 2*o + 18 = l. Let s(h) = 2*h**2 - 2*h - 16. What is the least common multiple of s(o) and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -41*k - 14. What are the prime factors of j(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36850, 36854, 36860, 36868, 36878?\n\"Answer: z**2 + z + 36848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 37*p - 76. What is z(-14)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -11 + -15 + 24.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 21*w + 122\/3.\nAnswer: (w + 2)*(w + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 2*a - 6. Determine o(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76421161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 11*t + 3. Let k be s(-5). What is the remainder when 26 is divided by k\/3 - (-6)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -3*x. Let o(d) = d**3 - 2*d**2 - 6*d - 7. Calculate the remainder when o(5) is divided by (-10)\/(1*(-1)\/x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-294)\/(-24)))\/((-1)\/((-7)\/46)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453664 divided by 309?\nAnswer: -1453664\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2889679\/121 + -23882. Calculate the common denominator of -8\/1881 and y.\nAnswer: 20691","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1596\/980*21 + 5\/(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -9. Let q = 52 - x. Let v(s) = s**2 + s. What is the remainder when 21 is divided by v(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(sqrt(605) + 3)*2.\nAnswer: 180 + 660*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 1. Let j(k) = -2*k - 1. Let x(d) = -3*d - 1. Let u(m) = 5*j(m) - 4*x(m). Let h = 3 - 0. Let g = 4 + -5. Calculate g*u(l) + h*r(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3337890 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d + 7. Suppose 0 = 7*i - 49 + 70. Let o(p) = 9*p - 5. Let x(v) = 5*v - 3. Let r(a) = i*o(a) + 5*x(a). Calculate k(r(y)).\nAnswer: -12*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 4*o + 3*f, -5*o + 80*f + 78*f + 9 - 4 = -87*f + 240*f for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -40*g + 3. Let s = -8 + 4. Is m(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -152, -3 in decreasing order.\nAnswer: 2, -3, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 72. Suppose -6*p - 106 = -7*p. Let k = p + f. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2370 is divided by 184?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 6*q**2 - 5*q - 3. Let t(j) = -j**3 + 3*j**2 - 2*j - 2. Let c(k) = -3*h(k) + 5*t(k). Calculate the remainder when 19 is divided by c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(18\/(-56))\/((-621)\/(-2898))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2205 - 2145. Calculate the remainder when r is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -7*d**4\/12 - d**3\/3 + 5*d**2 + 4*d. Determine k(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2187)*-1*6 - sqrt(2187)))\/(sqrt(324)*3*1*-2).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 34062.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1035918 and -23\/1092.\nAnswer: 14502852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*z + z - 28, 4*c + 3*z - 115 = 0. Let k(d) = 17*d**2 - 2*d + 1. What is the remainder when c is divided by k(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 29, -0.1 in descending order.\nAnswer: 29, 18, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 2, 1.1, 5, -2\/7, -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**3 + 3 - 3 - y**3 + 7*y**3 - 4*y**3 + (y**2 + 2 - 2)*(-2*y + 4*y + 0*y) - 4*y**3 + 6*y**3 + 0*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 + 2 = 0. Let t be 1 + 9\/3 - o. Suppose 0 = -3*g - t*g - f + 55, g - 3*f - 27 = 0. Solve -d = -5*d - g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(76))**2 + -4 + (sqrt(475) + 0 - sqrt(475)) + 2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5169*v - 2585 = 4934*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1377 - -1387. Suppose 2*t = t. Suppose t = m*y + 30 - 80. Solve -y*v + 20 = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 12 = -11*b. Suppose 3*q - 4*j = b*q + 15, -3*q - 13 = 4*j. Let n = 25 - q. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*k + 79*k + 190. Sort 0, -3, -1, k.\nAnswer: k, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000694583256 to seven decimal places.\nAnswer: -0.0000695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 - 11*y + 6. Give h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213433978*o**2 + 66281139 with respect to o.\nAnswer: -426867956*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0*x**3 - 1\/48*x**4 + 1\/120*x**5 + 2*x + 1\/2*x**2 + 0. Let q(g) be the first derivative of i(g). Factor q(r).\nAnswer: r*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 + (-2)\/(-4)*-4. Let a be 2*(3 - p\/6). Suppose -4*j + 5*j = 2. Sort a, j, -3 in increasing order.\nAnswer: -3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2011495*l**2*p - 2*l**2 + p - 1387292 wrt p?\nAnswer: -2011495*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69*(-5)\/(-30)*(-2 - -4). Calculate the greatest common divisor of t and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -297764010663\/5252 + 56695358. Let w = o - -11\/404. Let t be (2 + -1)*(3 - 2). Are t and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-44) - (-268)\/22. Suppose c - 3 = 5*i, -3*c - c + 3*i = -t. Let m = 8 + c. Solve 5*q = 4*v + m, -3*v + 8*v - 4*q + 16 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1636 = -3*m, -4*u - 12*m + 6*m + 1334 = 0. What is the remainder when u is divided by 182?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:50 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77 divided by 2996\nAnswer: 11\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:41 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.2 + 1.2. Let c = 6 + n. Let z = -4.62 - -1.62. What is the closest to 0.1 in z, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365445359 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 - j**2 - 2*j**2)*(2 - 2*j - 2)*(-68 + 50 - 160)*(1 + 4 - 3) in the form t + u*j**3 + r*j**2 + o*j and give u.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 444089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 1985005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -1\/10, 2\/15, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -48, -26, -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(500)*-1 - (2 + sqrt(500) + 5 - sqrt(500))) + 3)**2.\nAnswer: -280*sqrt(5) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1508857 divided by 581.\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (0 + sqrt(539)))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyto when four letters picked without replacement from {r: 1, y: 4, t: 6, o: 1, n: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/33)\/(6\/(-27)). What is the second derivative of 3*o**3 + 128*o + 6*o**n - 118*o wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + -795 + 738?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2 - 8*g + 2*g**2 + 2*g**2 - 2*g**2 wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 50615.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nb when two letters picked without replacement from nvvfvedbfnvn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2384 = -5*o + 2*d - 6*d, 5*d = 2*o - 980. Let v(x) = x**3 + 15*x**2 + 28*x - 96. Let u be v(-11). What is the highest common divisor of u and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*2 - (1 + -9). Suppose 3*t + 4 + 5 = j*c, 0 = c - 2*t - 6. Suppose 2*z - 56 = -c. What is the highest common divisor of z and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u - 204. Calculate q(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 4\/(1*(-12)\/72).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n. Let c(p) = 974*p**2. Determine x(c(t)).\nAnswer: -9740*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*c - 95*c = -141*c + 900 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1277 + 2287. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 151746800 to the nearest 100000.\nAnswer: 151700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 + 18119*d\/3 + 328298161\/6.\nAnswer: (d + 18119)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h\/h**(5\/8))*h**(7\/4))\/(h*(h\/((h**(-17)*h)\/h))\/h*h\/h**(2\/9)) assuming h is positive.\nAnswer: h**(-1181\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 413.1478.\nAnswer: -330.51824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**6\/720 + k**5\/120 - k**4\/3 + 3*k. Let q(r) be the third derivative of t(r). Calculate q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/5 + 12*q**3\/5 - 22*q**2\/5 + 12*q\/5 = 0. What is q?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 25*o**5 + 715*o**4 - 6215*o**3 - 204055*o**2 + 294170*o - 84640 = 0.\nAnswer: -23, 2\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from {n: 1, j: 6, s: 1, d: 1, l: 3, b: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -3*r**4\/4 + 2*r**3\/3 + 2*r**2 + 3*r + 24. Let u be b(-1). Suppose u*f + 32 = 6*f. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021 (base 6) to base 8.\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 2*i - 3*i)*(246 - 246 - 18*i) + 3*i**2 + i**2 - 2*i**2 to h + s*i**2 + p*i and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11240*t**3 + 10535 - 10535.\nAnswer: -11240*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pydyadaadaydyaaadyp. Give prob of sequence aadp.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -368 - -381. Solve 11*a + 2 = r*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*o + 15. Suppose -o = c + 2*c. Let u(k) = 2*k + 1. Let h be u(-1). Sort -2, h, c in descending order.\nAnswer: h, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a - 4. Suppose 0 = -3*w + 13 + 14. Suppose -5*t - w - 6 = 5*b, 0 = 3*b + 5*t + 3. Is 13 a factor of h(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 358\/6 + 1\/3. Suppose 0 = -2*t - 0*t - x. Let a = 252\/11 - 23. Find the common denominator of a and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31994*r**4 + 24162 wrt r.\nAnswer: -127976*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4954650 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Let k = -10 + 25. Find the first derivative of -6*t**3 - k*t**2 + o + 15*t**2 wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 4*q**3 - 2*q - 2*q**2 - 3*q. Let x(d) = 2*d**3 + d**2 + 3*d. Calculate 3*h(v) + 7*x(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 - -118. Let k = 157 + o. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2002 (base 8) to base 13\nAnswer: 60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:43 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 3. Let p be x(2). Let r(z) = -z**3 + 4*z**2 - 2*z + 2. Let f be r(p). Let i = -17 - f. What is the greatest common divisor of 64 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/3 + 17*t**4\/3 - 33*t**3 + 81*t**2 - 72*t = 0. Calculate t.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/1*1)\/(308\/2002).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 4*h + 4. Let n be k(5). Suppose -26 = 5*s - 36. Suppose 14*l - 13*l - s = 0. Do l and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77, 118, 193, 308, 469, 682?\n\"Answer: g**3 + 11*g**2 + g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 25. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5 + (-31 - (-21580)\/600).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4, -2*y - 4*v = -12. Let p(u) = 1 - 2*u**3 + 8*u + 8*u - 16*u - u**2. Let h be p(1). Which is the biggest value? (a) y (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/120 and -7\/5114416.\nAnswer: 76716240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + 5 + -5*sqrt(252)*2)*6)**2 + -3.\nAnswer: -12960*sqrt(7) + 2721705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 25 (b) -0.18 (c) 2\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1473.\nAnswer: -4\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -4)\/((-2)\/5). Let v = -23.9 - -21.9. Which is the nearest to v? (a) 2 (b) 1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -515378\nAnswer: -1\/257689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrrrrrrrrxrhrrhcrr. Give prob of picking 1 x and 1 c.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = j + 4*l, -4 = -j - l. Is ((-178)\/6)\/(j\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**4 + 4*h**3 + h - 4. Let b(m) = -69*m**4 + 27*m**3 + 6*m - 27. Let f(x) = -4*b(x) + 27*w(x). What is the second derivative of f(u) wrt u?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 - 8*v + 11. Let d(a) = 3*a**2 - 3*a + 4. Let o(l) = 11*d(l) - 4*p(l). Let c(k) = 3*k**2 - 2*k. Let z(n) = -c(n) + 2*o(n). Factor z(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -2*n**7\/105 - 5*n**3\/3 - 17*n**2. What is the first derivative of p(o) wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*a - 4*a + 4, -2*a - 4 = 0. Is 17 a factor of n\/(360\/177 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(243)\/(sqrt(441)*-4).\nAnswer: 3*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 15*z = 27*z - 432. What is the smallest common multiple of z and 306?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 1. Let j(k) = 17 - 2*k**2 + 0*k + 4*k**2 - 3*k - 3*k. Let z(y) = -j(y) + 3*u(y). Is z(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2, -f = -4*p + 3 - 0. Calculate the highest common factor of f and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295800 + 632716157\/2139. Find the common denominator of h and -97\/84.\nAnswer: 59892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 138?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**29*(i\/(i*i**10))\/i*(i**(5\/7)*i)**(-1\/11) assuming i is positive.\nAnswer: i**(1451\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 5*v + 6. Let a(s) = -s**2 - 4*s - 6. Let z(g) = 3*a(g) + 4*t(g). List the prime factors of z(-5).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*h - 36. Suppose -g = -8 + h. Let t = g + 37. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1062 + 611. Suppose -305 + n = -12*o. Is (o\/5 - 2)*(-10)\/4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167b6 (base 12) in base 2?\nAnswer: 111110111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 3*j**2 - 203*j + 66. What is n(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h - 1240*h**4 - 19*h**5 - 3*h**2 + 1240*h**4 wrt h.\nAnswer: -380*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(561) + 2*sqrt(561) + sqrt(561))\/sqrt(11))\/((-3*sqrt(33))\/sqrt(11)))**2 + 3.\nAnswer: 299\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 60*c**2 - 42*c - 2034. Does 27 divide d(66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 142.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3726*t - 3738*t + 161292 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5342\/573 - -2\/191. Find s, given that -8\/3 + 20\/3*s + 12*s**2 - 20\/3*s**3 - g*s**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1867 times -5517.24?\nAnswer: -1030.068708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/12 - (-33)\/18. Suppose -2*h + 302 = 3*h + 3*k, t*h - 125 = 3*k. Let w = h + -44. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114\/5 + -1928\/85. What is the biggest value in 1.1, -2\/5, -2, u?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4))**(-13))**4*(a**(-1\/9)\/a)\/((a\/a**(4\/9))\/a)*a**(-6)*a**6\/a assuming a is positive.\nAnswer: a**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -71, -62, -51, -38?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 663195 - 663196. Let m be 1 + -3*(-34)\/2. Sort 2, m, 3, o.\nAnswer: o, 2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7688+-120\nAnswer: -7808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -230\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7611.268 centuries?\nAnswer: 761126.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7318 is divided by 547.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165936355 a multiple of 7056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 125, 5.\nAnswer: -86, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.849099 hours in days?\nAnswer: 0.035379125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -133, -199, -265, -331, -397?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:22 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 11)\/((-2)\/(-4)). Suppose -16*r = -12*r - d. Is ((-4)\/4 + 423)\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 85. Suppose k - 6*k = g. Is 2 a factor of (6 - 8)*k\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3449 + -3448. Which is greater: 16 or x?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 32896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0309683 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Suppose z*q = 3*q. Calculate the lowest common multiple of 20 and -1 - (q + -3) - -16.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/45860 and 79\/807136.\nAnswer: 4035680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 28 = 3*f - 5*k, -2*f = 2*k + 16. Let z be (9\/f)\/((-24)\/(-48)). Sort 2, -4, 5, z in descending order.\nAnswer: 5, 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 2*s**2 + 2*s - 1. Let q(d) = -2*d**5 + 101*d**4 - 1069*d**3 - 5333*d**2 + 2930*d - 7. Let w(n) = 21*i(n) - 3*q(n). Solve w(v) = 0.\nAnswer: -4, 0, 1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 6 in descending order.\nAnswer: 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 88?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*((sqrt(68) + (1*sqrt(68) + sqrt(68) - sqrt(68)))*-5*5)\/(((1*sqrt(440) + sqrt(440) - sqrt(440))\/sqrt(10) + sqrt(44))\/sqrt(11)).\nAnswer: -600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 divided by 155?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 11. Let a be (-4 - (-7 - -2))*5\/1. Let i(m) = -7*m + 12. What is a*t(c) + 4*i(c)?\nAnswer: 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 1:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*v = -2*t - 10, -2*t + 40 = -4*v. What is the lowest common multiple of (4\/5)\/(t\/300) and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 5, k: 2, j: 2}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/1*1718\/(-2577).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2749 is divided by 183.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 6*t + 1. Let o = -9 - -4. What is u(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*a + 103 = 21*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 9. Let d(l) = 4*l + 26. Let x(g) = -2*d(g) - 7*i(g). Let n be x(9). Solve -5*v = -n*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 1, 122, -4 in descending order.\nAnswer: 122, 42, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -29. Suppose x*b - 79 + 1 = 0. Suppose 5*f + 8*f - b = 0. Let a(w) = 6*w. Let o(g) = g. What is f*a(d) - 14*o(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260659 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2577 - -7446. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*o + 11. Let x(j) = 3*j**2 - 4*j**2 + 2*j + 2 - 3*j**2. What is x(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186\/(-39060) + (3\/(-126))\/((-6)\/(-24))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 12*l**2. Let u(v) = -2*v - 13*v + 4*v + 4*v - 3*v. Calculate d(u(a)).\nAnswer: 1200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 281867 and 281868 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8124*d = -2609*d + 777615 for d.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 46275671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -5 (b) -3031\/5 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 12. Let h = -12 + p. Suppose -2*s - 2*s + 146 = k, h*k = -4*s + 154. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = 0. Let g(v) = 3 + 4 - 2 + v**3 + 2. Calculate g(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*i)*(4 + 2*i - 4) + 12*i + i**2 - 12*i + 1.\nAnswer: 5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -4 + 0 - (0 - 1). Let l(n) = n + 3 - w + 5 + 0. Calculate l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 52*d**4 - 228*d**3 + 352*d**2 - 238*d + 60.\nAnswer: 2*(d - 1)**4*(d + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + 11221?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, j: 2}. Give prob of sequence qjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3959, 7890, 11821, 15752, 19683?\nAnswer: 23614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 135\/18 + -14 - 1\/2. Let c(y) = -y**3 - 9*y**2 - 8*y - 9. Determine c(t).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**3\/5 + 528*v**2\/5 - 92928*v\/5 - 3005. Factor f(t).\nAnswer: -3*(t - 176)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, -4, 9, -0.1 in decreasing order.\nAnswer: 9, 4, 0.5, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 + d**2 - d. Suppose 1 = 3*k - 8. Suppose 2*t + 8 = -5*n, -5*t - 2*n - k*n - 5 = 0. List the prime factors of b(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:32 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 11278.\nAnswer: -1127.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-10)\/(-6))\/(105\/630). Solve -3*v + 2*w = 17, -5*v = -z*w + 2 + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1308 = 2*b. Is b\/(-4)*12\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229784*p - 2 + 2 - 234*p**2 - 229784*p.\nAnswer: -234*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 6, r: 5, m: 2, b: 2, c: 3}. Give prob of picking 2 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p + 6 = 0. Suppose -4*y = 4, -3*v + 3*y - 4*y + 533 = 0. Let z(g) = 6*g + v*g**2 - 3*g - 2 - g**3 - 176*g**2. Calculate z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010699242 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2136, 2138, 2140, 2142, 2144, 2146?\n\"Answer: 2*r + 2134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozozozzz. Give prob of sequence oz.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43 and 39?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/2223 and -16\/279?\nAnswer: 68913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 17450004.47 to the nearest 1000.\nAnswer: 17450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -13580*m + 168. Let z(u) = -5432*u + 70. Determine -5*q(k) + 12*z(k).\nAnswer: 2716*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4.71915529 - -0.0503\nAnswer: 4.76945529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, 18, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 20, 0.32, -0.17 in increasing order.\nAnswer: -0.17, 0.2, 0.32, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3\/8 (c) 7794\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610687804 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 242.2, 1.037, 0.5?\nAnswer: 1.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*u - 27. Solve 13 = 3*p + v, 35 = 5*p - u*v + 3*v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 13*i + 23. Give p(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 + 45*u - 186. Give j(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 376*w - 8 = -371*w, 21 = 3*q + 6*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22)**(-28) assuming a is positive.\nAnswer: a**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Suppose 0*v - v + 5 = 0. Suppose -d + 3*c = -4 - 2, 5*d = -v*c + 10. Let x(s) = -d*s + 2*s - s. Calculate x(j(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by -5.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from jawjjwpjwwppnj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**6\/72 + 5*h**4\/24 + h**3\/6 + 6*h. Let r(c) be the second derivative of u(c). What is the first derivative of r(a) wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29403, -59922, -90441, -120960, -151479?\n\"Answer: -30519*n + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 - 2*l + 2 - 7 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56388387*q**3 + 105320327?\nAnswer: 169165161*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r + 2. Let v be z(-5). What is the highest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2247 - -340?\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 0.2573\nAnswer: 1.00347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooxooooxxooooooo. Give prob of sequence xooo.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 73*v**2 - 7*v - 45. Is f(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*n - n + 11, -2*n - 24753*i + 24758*i - 22 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4157, 8352, 12549, 16748, 20949, 25152, 29357?\nAnswer: 33564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 2*w - 18608 + 2*w + 0*w.\nAnswer: -2*w - 18608","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -14364*g + 28723. Give p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(-3)\/9 + (-444330)\/(-135).\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260220153.\nAnswer: 229, 9869957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 33. Suppose -c = -6*c - 10. Suppose 5*q = 5*w - 7 + 17, 2*q + w = 1. Sort l, c, q in increasing order.\nAnswer: l, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 3116034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:39 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002580886 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483*p - 1309*p = -1721*p - 78165 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let o(y) = 7*y**2 - 35. Let h(c) = -c. Let w(z) = -z**2 + 3*z + 6. Let k(n) = -3*h(n) - w(n). Let l(s) = 35*k(s) - 6*o(s). Give l(b(t)).\nAnswer: -28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -981 divided by -3\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/12 + (-2)\/8. Let u be q\/(-9) - 4\/(-6). Let b(r) = -4*r - 4. Let x(z) = -z - 1. Calculate u*b(s) - 5*x(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141599 and 64586.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2751 = -37*m - 1726. Let i = m - -121. Solve i + y + 1\/4*y**3 + 5\/4*y**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655762 at least as big as 3655850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g - 1. Let t be a(1). Let q = -132 + 135. Suppose -f = -3*p + 108, -p - t*f - q*f + 52 = 0. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4611 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 212552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037385087 to 5 decimal places.\nAnswer: -0.03739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101101000001010010 + -11?\nAnswer: 1001101101000001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 25210.54g?\nAnswer: 0.02521054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/2, -183.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6887 at most as big as -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {v: 1, m: 1, w: 1, c: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-243) - -53) + -53.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*o - 8 = 0, -2*s - 18 = 3*o + 5. Let d be -5*s\/(-2)*-1. Let a be 4\/10*d\/6. Is a smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -46. Let y be b\/(-20)*10\/(-4). Put -1, -4, y in descending order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - i)*(4*i - 4*i - i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.3 (b) 0.11 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -119, -0.01, -0.1, -2\/1023?\nAnswer: -2\/1023","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1297576 and 13804.\nAnswer: 1297576","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -65.356 times -9\nAnswer: 588.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7168 by -1792.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**2*x**2 - 3*q**2*x + 25*q**2*z - 4040*q**2 + 10*q*x**3 - 3*x**3*z - 365*x*z wrt z?\nAnswer: 25*q**2 - 3*x**3 - 365*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2539, -1, -5 in increasing order.\nAnswer: -2539, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/90)\/(7\/5)*34\/119?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4 - -10749)\/7)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/14 and -85\/3346.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225614 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 10*p**2 - 5*p + 56. Calculate y(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -9. What is the second derivative of 2*u**2 + 0*u**2 - 5*u + w*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 + 134. Let y = 33 + t. Calculate the remainder when y is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170084119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let j(q) = -q**3 + q - 4. Let m be j(0). Let d be (-5)\/4*m\/30. Which is greater: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -609*k**3 + 54*k + 54. Let j be a(-1). Is 609 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 140*c + 439 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 241167077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2528881522.\nAnswer: 2, 1264440761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**5*a**(6\/5)\/a*a*a)\/(a**(1\/14)*(a**(-5\/4)\/a)\/a*a) assuming a is positive.\nAnswer: a**(1453\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7084368 and 48?\nAnswer: 7084368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*-2*(-1 + sqrt(405))**2 - ((2*sqrt(405) + sqrt(405))**2 + -1)*6))*-1.\nAnswer: 216*sqrt(5) + 16992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-9))\/((-2)\/9). Solve l = 4*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968 divided by -276?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence goqo when four letters picked without replacement from gqoqqoqogggqggqqgq?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5 + 23*g**3 + 245*g wrt g.\nAnswer: -20*g**3 + 138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -211*s. Let x(w) = 86*w**2. Give o(x(z)).\nAnswer: -18146*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22932039 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10733282.\nAnswer: 2, 7, 367, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = -21 - 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*j + 285, 4*m - 1527 = -m - 3*j. Calculate the remainder when m is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/433 - -175397\/1732. Let m(z) = -10*z**2 - 3*z + 2. Let t be m(3). Let y = o + t. Calculate the common denominator of y and -36\/41.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3 + 4 - 2*i - 8 + 3*i**2 + 2. Let r be t(-5). Let h = r - 32. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 1. Let o be (-44)\/33*(-18)\/(-4). Let b be 4\/o*-6 - 2. Suppose b*q - 4 = -0. What is p(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 12232656?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5153067*d + 5153004*d = 315 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 - 0)\/(-1))\/((-12)\/606). Let u be -1*(-4)\/(-2) + (105 - i). Solve f - 4*f + 3 = -u*t, -t = f + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -830.162 - 1.838. Let a = -825.57 - w. Is a at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 - 25*f**4 + 15*f**3 + 25*f**2 - 20*f.\nAnswer: 5*f*(f - 4)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -824791 * -34\nAnswer: 28042894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 3*u**7\/70 + 5*u**4\/12 + 7*u**2. What is the second derivative of s(m) wrt m?\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 5*p - 4*p + (22 + 2 + 21)*(-12*p + 24 - 24).\nAnswer: -544*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73581368119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5*v + 4*j - 25 = 0, 0 = -3*v + j - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(3*n - 2*n + 0*n) - 1021 + 30*n + 1021 - 2*n + n - n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2 - 4 + 2*l + 9 as f + t*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 7:42 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2907, 2905, 2893, 2865, 2815?\n\"Answer: -v**3 + v**2 + 2*v + 2905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 - 2*s**3)*(1 + 1 + 0) + 4*s**2 + 4*s + 14*s**3 - 16*s**3 - 3*s.\nAnswer: -6*s**3 + 4*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38729\/3 - 12908. Let m(q) be the first derivative of -d*q**3 - 2*q**2 - 5*q + 18. Let k(s) = -s**2 - s - 1. What is 4*k(y) - m(y)?\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:44 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244856.9 microseconds to nanoseconds.\nAnswer: 244856900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 at most as big as -30372\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 57.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6 = -26*l + 27*l, 0 = 3*l - 5*o + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: c0 (base 15) to base 3\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2030998*s**2 + 7421741*s wrt s.\nAnswer: -4061996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10112012?\nAnswer: -10112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - w - 3. What is the units digit of k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0.52. Let m = 0.12 - t. Let k = m - 0.3. Which is the nearest to -1? (a) 2 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:00 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -588\/5. Let u = -1612 + 1611.007. Let m = u + 0.093. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-78) - 87375\/3029.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 5.4. Let z = 366577 + -366572.00001. Let x = z - t. Round x to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -2 - (32 + -19 + -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 32.671929?\nAnswer: -30.671929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 213 + -80. Calculate the greatest common factor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 14*j + 6. Let w(v) = 9*v + 4. Let b(r) = 13*r + 44. Let k be b(-4). Calculate k*w(t) + 5*u(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/16777 + 8438838\/117439. Let o = -72 + h. Let z = -0.1 + -0.9. Which is the nearest to -2? (a) 3 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*f + 1566367 = 5*w, -3*f = 3*w - 427191. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -165, -299, -423, -537, -641, -735?\n\"Answer: 5*n**2 - 149*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*b + 299*b = 130*b + 7178 - 944 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 67. What is c(24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/1)\/(3699\/(-18084) + 11\/(726\/(-36)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 59?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -1 + sqrt(405) + -2 - (-1 + (1 + sqrt(405))**2).\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 474 - 17. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1425, -1370, -1313, -1254, -1193?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 228 = -2*l, -u + 33 + 17 = 4*l. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 3:36 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8459 and 905882.\nAnswer: 9964702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*b = -b - 6, 0 = -2*m + 5*b - 10. Suppose -1 = -f - m*f. Is 2 a factor of (f*-6)\/(-1 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2\/17, -1\/7.\nAnswer: -3, -1, -1\/7, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((65\/55)\/13)\/(25\/5225)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71759506?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*588\/98.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.08, 4\/11, 3, -2889\/4, 0.061?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 - -1305\/4. What is the closest to -2 in k, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**9\/90720 + l**7\/7560 - l**5\/60 + 3*l**2. Let d(w) be the third derivative of u(w). Let d(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-34)\/1*(0 - 5\/2). Suppose -4*c - 76 = -2*v + 8, -2*v + 5*c = -r. What is the third derivative of v*q**2 + 35*q + 24*q**5 + 11*q**5 - 35*q wrt q?\nAnswer: 2100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:28 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49820 and -1227.\nAnswer: 61129140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 22a0?\nAnswer: 22a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/9)*h**15 assuming h is positive.\nAnswer: h**(131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005749 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.16854 centimeters to meters.\nAnswer: 0.4616854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 2, 52 in ascending order.\nAnswer: -3, 2, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 31*q**2 + 3*q + 126. List the prime factors of t(31).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 9*g**2 + 8*g + 4. What is o(10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 12*z - 23 - 94, 2*g - 351 + 397 = -4*z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794891.192 rounded to the nearest one hundred?\nAnswer: 1794900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -190.6 times -55408\nAnswer: 10560764.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (-84)\/35)\/(1\/30). Suppose 0 = -4*f + 5*f + z, 2*f - 8 = -4*z. Let s be 12*-3*f\/(-3). Are x and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144555 is divided by 24061?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282257359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.8. Let x = d - 1. Let t = -113\/4 + 29. Sort -0.03, x, t in ascending order.\nAnswer: x, -0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6904*g - 567. Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 - 0.2. Let x be 6\/(-9)*8\/60*18. Put t, 0.4, x, -2\/5 in increasing order.\nAnswer: t, x, -2\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72036.65nm in centimeters?\nAnswer: 0.007203665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -16692. Suppose 7*m + 1128 = t. Let u = 9529\/22 - m. What is the common denominator of u and 47\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.21 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c = 1675212 + 1017628. What is c rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-4 + (0 - -2)). Suppose 0 = r*t - 4 - 0, -4*t + 4 = -4*k. Let y(v) = 3 - v - 3. Let b(g) = -g + 2. What is k*b(n) - 2*y(n)?\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 539\/(-35) - 2\/(-5). Let s be (3 - 4)\/(5\/w). Suppose 3*y + s = 4*i - 6, 2*y = i - 1. Put 17, 5, i in descending order.\nAnswer: 17, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/2)\/(2\/4). Suppose -c*r - 3 = 6. Let t(k) = -2*k - 5. Let j be t(r). Let o(z) = -4*z**2 - 2*z + 1. Determine o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.6934 and -0.033.\nAnswer: -0.3528822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*n**2 + 152*n**2 + 148*n**2 - 327*n + 327*n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13 (b) 1\/8 (c) -1\/6 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 7*u**2 - 2*u + 3. Let k be i(7). Let n = k + 80. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102011210222 + -11000?\nAnswer: -1102011221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2. Let m(s) = s**2 + 4*s**2 - 3*s**2 + s**2. Calculate m(r(p)).\nAnswer: 75*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 + 249\/581 + (-954)\/21.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1)**2 + 5.\nAnswer: -12*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 12 = -2*s, 0 = 4*b + 11*s - 7*s - 28 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*m**2 + 54*m**2 - 132*m**2 + 2*m**3)*(-3*m**2 - 202*m + 202*m).\nAnswer: -6*m**5 + 30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -5*(-8)\/5. Calculate the common denominator of ((-106)\/18)\/(5\/(-3)) and (2 - 4)*77\/y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30000 and 2084250?\nAnswer: 83370000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1347, 3351, 5573, 8121, 11103, 14627, 18801?\n\"Answer: 18*t**3 + t**2 + 1875*t - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56498*i = 57374*i - 79716 for i.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 equal to 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 43 + 13 = 0. Let j(s) = 32*s**3 + 2*s**2 - 6*s + 4. Let o be j(u). Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -975*t**3 - 1247*t**2 wrt t?\nAnswer: -5850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*m + 32564 = 0, -3*m = -3*y - 4016 + 28436. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -3*t + 1, t - 5*g + 6 = 0. What is the least common multiple of 16 and -6*t\/12*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*-1*(sqrt(119)*-1 + sqrt(119)))\/(6*1*sqrt(28))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 24, 1\/54, 0.4, 5?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/8, 0.4, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1588 or -3\/10400?\nAnswer: 1588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18707 - 18702. Which is the nearest to -1\/3? (a) 0 (b) h (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 61*n**2\/5 + 1207*n\/5 + 7803\/5.\nAnswer: (n + 17)**2*(n + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8394 is divided by 366.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2000211101101?\nAnswer: 2000211101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/11171?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/6 - 4*d**2 + d + 1. Let l(w) be the first derivative of y(w). Let t be l(-8). Solve t*r - 5 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8087, 7987, 7947, 8003, 8191, 8547, 9107, 9907?\n\"Answer: 6*y**3 - 6*y**2 - 124*y + 8211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.127 from -57063.\nAnswer: -57062.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126 + 1107802?\nAnswer: 1108028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 11:47 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 8*d + 7. Let l be i(6). Suppose 3*v + 14 = 362. Suppose -v*q + 9 = -113*q. Solve 4*r - 3*x = l, x = r + q*x + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(16\/(-132)))\/(1\/(-2)). Let u = d - -66. Which is smaller: -1\/36 or u?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from xfxkklfkffde?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 316736332*m**2 + 473128591.\nAnswer: 633472664*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfjf when four letters picked without replacement from jjfjfjfjjjffj?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2840.6195 rounded to the nearest 10?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n - 62 = 1034 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1077*s**2 - 2*s + 1. Let m be l(1). Let g = -231 + m. Is g\/15 + 4\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:03 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*f = -647*f - 5*j - 4, -3*f = j + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -38, -35, -30, -23, -14, -3?\n\"Answer: q**2 - 2*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172261591*l**4*z - 13*l**2*z - l**2 - l + 8*z - 107 wrt l?\nAnswer: 4134278184*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + -40. What are the prime factors of 12\/(b\/9 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 39 = -2*f. Which is the nearest to 2\/7? (a) 0 (b) -17 (c) -4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -23*j**5\/5 - 35*j - 15. Find the first derivative of q(b) wrt b.\nAnswer: -92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 + 3*i - 6*i - 4*i + 4*i - 7*i**2. Let d(q) = -8*q**2 - 2*q + 2. Let s(y) = 5*d(y) - 6*j(y). Let r be s(-5). Solve -2*o = 4 + r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0657 to 2 decimal places.\nAnswer: -2.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-1 + -2 + 4). What is the remainder when z + 18*(-16)\/(-12) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4354 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, -12, -77, -198, -393, -680, -1077?\n\"Answer: -3*d**3 - d**2 - 3*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -0.1, 99?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 25*w**2 + 24*w. Let z be p(24). Let a be (2\/7)\/(9\/7). Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/16530 and 193\/1140?\nAnswer: 33060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -232 + 870. Let p = y + -241. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2805 divide 85024871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29933749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-39) + 3\/(-9). Solve 4*g = 2*v - 3*v + 2, y = 2*g - 5*v + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u + 12. Solve -r - 2*r + 4*j - 1 = 0, 5*r + 9 = u*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174249653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81979 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7461231502?\nAnswer: 2, 431, 8655721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w - 1. Let z(q) = -6*q - 1. Let u be 3\/((-3 - -7)*(-15)\/100). Give u*z(n) + 4*r(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408 + 177. Let t be (-130)\/231 - (-14)\/y*-3. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = x + 4*x - 172, 3*x - 112 = -s. Solve -m + 5*y = 3*m - x, -3*m - 2*y + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 108*s**3 + 1254*s**2 + 4212*s - 5577.\nAnswer: 3*(s - 1)*(s + 11)*(s + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7394 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-2 + 2 - i**4) - 2*i**4 + 0*i + 0*i + 3*i**2 + 4*i**4 - 3*i**2 + (-6*i**3 + 4*i**3 + i**3)*(0*i - 3*i + 5*i).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5365400 and 67\/5901940?\nAnswer: 59019400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/((-3)\/93). Suppose -2*j = l - 5, -2*l - i = -4*j + 3*l. Suppose j*m + 3 = 39. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 16776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580700 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide (-1480)\/(-200) + 9\/15 - -15236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -683, -999, -1315, -1631?\nAnswer: -1947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*r**3 - 385*r**3 + 132*r**3 + 344 + 132*r**3.\nAnswer: 12*r**3 + 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:32 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 - 3*c**2 + 5*c**2 + (2*c - 2 + 2)*(9*c + 23*c - 13*c) to the form i*c**2 + x + d*c and give i.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 958575 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l = 48. Let z be l\/(-42)*18\/24. Let x = 181\/4 - 45. Which is bigger: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 26.3\nAnswer: -1.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 0, -4*p - 30 + 42 = -3*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 74, 128, 234, 410, 674, 1044, 1538?\n\"Answer: 3*g**3 - g**2 + 2*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*g + 3. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1272?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b - 7. List the prime factors of i(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 423 and 19503.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(-2*sqrt(4)))**2 - sqrt(91)\/(sqrt(7)*-5) - ((sqrt(260)*1)\/sqrt(10))\/((sqrt(16)\/sqrt(2))\/sqrt(4))) + 2.\nAnswer: -4*sqrt(13)\/5 + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/53 + 14129\/636. Let j = -64\/3 + r. Does 0.01 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -17. Suppose 4*s = -2*g - 8, 3*s + r + 7 = 2*g. Suppose -33 = -g*m + 31. 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 q(l) = l - 15. Let j be q(18). Sort 0, -5, j.\nAnswer: -5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Let b(g) = 416*g + 6*g**2 - 414*g - i*g**2. Let q(v) = -9*v**2 - 5*v. What is -5*b(o) - 2*q(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*q - 3, 2*n - 6 = 3*q - 1. Calculate the highest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29486830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179001236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241660, 483255, 724850, 966445, 1208040, 1449635?\nAnswer: 1691230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.02 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 - 4*b - 2. Suppose 35 = -2*j + 7*j + 5*c, -3*j - c = -17. Let g be s(j). Solve 2 = -a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7592645 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74875618271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 0) + (-85)\/(-25). Let c = -19602.7 + 19603. What is the nearest to 2 in -0.1, k, 5\/3, c?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**(-48) assuming d is positive.\nAnswer: d**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitiiiiiiiiiiiiiiiit. What is prob of picking 3 i?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -o + 5*o + 248, c + 3*o + 60 = 0. Let m = 67 + c. Suppose 6*n - 10*n - m = 0. Put -2\/29, n, -2 in descending order.\nAnswer: -2\/29, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = u + 1, -2*u = -4*k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/5 + -5 + (-448)\/(-80)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2549b4 - 6?\nAnswer: 2549ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, 5\/63, -4.2?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -784 + 794. Suppose -2*m - 3 = 1. Let a(j) = -19*j - 1. What is the remainder when a(m) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*s - 9, -2*n + 5*s + 6 + 28 = 0. What is the remainder when 46 is divided by (-29)\/(-1) - (n + -2 + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/5720)\/((-2)\/(2*6)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443 = -2*c - p - 352, -4*p = -5*c + 208 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 + 128*b + 3072.\nAnswer: 4*(b + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:50 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 900*s**2 - 716 wrt s?\nAnswer: 1800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4 + 11*u**2\/2 - 11. What is the second derivative of m(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9413 + 9418. Solve 5*d = -v*j - 22 + 27, 2*j + 18 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243*j**3 - 7*j**2?\nAnswer: -1458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11749583*q**3 - 1191*q**2 - 5334.\nAnswer: 70497498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 72 = -3*c. Let r(n) = -13*n - 3. Let p be r(-3). What is the greatest common factor of c and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17656 - -25240. What is the remainder when m is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 14\/77223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.1, -0.128687?\nAnswer: -0.128687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:03 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 4, 2, -106 in ascending order.\nAnswer: -106, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 692 and 49399804.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 4*h - 0*h, 2*h + 4*b + 6 = 0. Let l be h\/((-6)\/4) - 6\/(-9). Factor -1\/4*k**2 + l*k + 1\/4.\nAnswer: -(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + f)*(27*f**4 + 32 - 32)*(-11 - 21 + 7).\nAnswer: -675*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2518789 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4294480, -4294470, -4294452, -4294426, -4294392?\nAnswer: -4294350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2306.93 + 2192. Let a = m - -114. Let s = a + 0.93000069. What is s rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 + 2*k - 4. Suppose -8*i + 24 = -4*i - 4*w, 4*w = -16. Suppose -4*o + i*m = -23 + 9, 3*o - m = 12. Give s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -104. Suppose -i - 4*o + 2 = 3, 3*o - w = 2*i. Put 3\/2, -0.2, i in ascending order.\nAnswer: i, -0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/10 - (930\/(-200))\/(-31)). Which is smaller: s or 207?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 584*o - 2986. What is the remainder when c(9) is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 11*r**2 - 5*r - 9. Let j be d(4). Suppose -t - 14 + 290 = -3*h, -t + 2*h + j = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 2*d + d + (4*d + 0*d - 2*d)*(3 - 5 + 4))*(-24*d**2 + 39*d**2 - 2*d**2) to the form x*d**2 + o*d + y*d**3 + c and give y.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, b: 1}. Give prob of picking 1 v and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 0)*(-4 - n - 2 + 0*n) as o*n + z and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 2*s**2 + 6*s - 6. Let o be f(3). Which is the nearest to o? (a) 4 (b) 1\/5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -3\/5533, 0.9, 2\/5, -16?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 5*w + 5 + 12*w - 7*w. Let f be u(-10). Suppose -f*a + 2 = 7. Is -3 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h. Let r(o) = -5*o - 3. Let i(y) = -6*y - 4. Let g(k) = 3*i(k) - 4*r(k). What is g(c(a))?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209928*j + 782184 wrt j?\nAnswer: -209928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, a: 1, v: 6}. What is prob of picking 3 v?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - d + 4. Let y be v(4). Suppose -7*h + 3*h = -y. What is the lowest common multiple of 18 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152899 or 152896?\nAnswer: 152899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5))**(-3)*m**(1\/4)*m*m\/((m*(m*m*m**(1\/2)*m)\/m*m)\/m)*(m**(-1)\/m)**(-2\/67)\/((m*m*m*m**(-1\/5))\/m)**(-6\/7) assuming m is positive.\nAnswer: m**(-2321\/9380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -111*n + 85. Let b be z(-6). Suppose 755*j - b*j - 5756 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.98 - -0.02. Let t = 8\/129 + 355\/516. What is the fourth biggest value in 0.5, 0, t, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*g - 22 = -3*l, 5*l + 4*g - 12 = 0. Solve -27*a + 155 = l*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/86693 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 826003888 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 876030, 3 in increasing order.\nAnswer: 2, 3, 876030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + k = 17277 - 5370, 4 = -4*k. Suppose -4*t = 3*n + 2*n - r, 593 = n + 2*t. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 3 + 2*w**2 + 3 + 2*w**2 - 6*w**2 + 4*w in the form h*w**2 + u + i*w**3 + q*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2534424 or -2534422?\nAnswer: -2534422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**4*i**2 - b**4*i - 5*b**3*i**2 - b**2 - 29*b*i**2 wrt b.\nAnswer: 96*b*i**2 - 24*b*i - 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/7, -18, 4, -1786, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*u + 34 = 296*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 61, 140, 249, 388?\n\"Answer: 15*f**2 + 4*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 366153972 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018280323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3922\/3471 + -727913195\/48594. Let l = u - -14971. What is the common denominator of l and (0 - 177\/90)\/(2\/(-3))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (-2 - (-2 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -578, -2406, -5476, -9788?\n\"Answer: -621*s**2 + 35*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a97 (base 14) in base 3?\nAnswer: 20122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -690193100 to the nearest one million.\nAnswer: -690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/17)\/((x*x\/(x*x**(4\/9)*x))\/x))\/(x\/(x*x**1*x))**37*x*x\/(((x\/(x\/(x**(-4)*x)))\/x)\/x)*x*x\/x**8*(x**(2\/5))**(-2\/23) assuming x is positive.\nAnswer: x**(1345463\/17595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117504849 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j. Let r = j - 0. Let n(u) = -u + 17. Let t be n(7). Solve 4*s + s - t = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 513 - -5514. What is the highest common divisor of b and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + (-837)\/81)\/(((-3)\/(-8))\/(195\/52))\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512\/91 at most -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 4*y)*(22 + 27 - 19)*((0*y + 0*y + 5*y)*(-6*y - 8 + 8) + y**2 + y**2 + y**2).\nAnswer: -1620*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - q - 5. Let p(f) = f**2 - 10*f + 2. Let h be p(10). Let u(d) = 4*d - h*d + 17 - 5*d**2 - 6. Calculate -9*j(w) - 4*u(w).\nAnswer: 2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1630 - 1546?\nAnswer: -3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 14) to base 3.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -10. Suppose -29 = -5*g - 4. Let t be (-15 - -15) + (g\/(-3) - -1). What is the closest to t in -7, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 26*r + 13. List the prime factors of j(13).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4 = 8. Suppose x = 5*l - 13, -l - l = -2*x - u. Solve 0 = -3*z + p - 17, 4*z + 19 = z + x*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0 + 0)*(3 - 16 - 12)*(4 - 3 - 3).\nAnswer: 150*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -24.99. Let y = -22.11 - -22. Let l = y - b. Put 2\/9, -0.4, l in ascending order.\nAnswer: -0.4, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/4 + 7*v**3\/3 + 3*v**2 - 8*v - 15. Give h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 54 = -5*w. Suppose -x + 4*o = -2, w*x = 6*x - 4*o - 56. Is x <= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 143852, 143846, 143840, 143834, 143828?\n\"Answer: -6*d + 143858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 0.2, -5, -3, 5201\/8 in descending order.\nAnswer: 5201\/8, 0.2, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i. Let y(h) = -21*h - 72*h + 18*h - 3*h + h**2. Determine y(j(w)).\nAnswer: 16*w**2 - 312*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9870246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1934\/7? (a) 5 (b) 10\/127 (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.617459 minutes in seconds?\nAnswer: 97.04754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -658870479 divided by -11169?\nAnswer: 58991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:07 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5*u**4\/24 - 7*u**3\/12 + u**2\/2 + 21*u. Determine g, given that w(g) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r + 38 + 51 - 130 + 41.\nAnswer: 37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13238511, -26477044, -39715577?\n\"Answer: -13238533*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - (-11)\/5. Suppose -77 = -5*l + 3*w, -2*l + n*w = 3*w - 22. Calculate the remainder when 49 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:13 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1 + 21*b**2 - 5 - 10*b - 22*b**2. What are the prime factors of d(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999406?\nAnswer: 2, 43, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 118. Let l be (5\/(-3))\/(9\/i). Let r(k) = -k**3 - 5*k**2 - k - 6. Give r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 13. Is a(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -5*b**4\/2 - b**2\/2 - 8. Calculate y(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 436986785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 286171 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1070107*m**5 - 20*m**4 + 630*m**2 + 43937 wrt m.\nAnswer: -64206420*m**2 - 480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -380, -342, -242, -50, 264?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-28) + 18\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 + 5. Let a(h) = -9*h**2 - 2721*h - 8 + 2721*h. Calculate -5*a(k) - 8*m(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78392*a + 79117*a + 5998 - 40798 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16922551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:48 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-816)\/(-3060)*(-55)\/2\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.36 - -32.36. Which is the second biggest value? (a) 0.5 (b) m (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 0.2, 0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 144 = -81 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/3)*l**(-9))**5 assuming l is positive.\nAnswer: l**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -381, -2875, -9643, -22821, -44545?\n\"Answer: -356*i**3 - i**2 + i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(-3))*u)**(1\/50)*(u**(-3))**(5\/12) assuming u is positive.\nAnswer: u**(-131\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98.25 - -1.75. Let h = v - 57. Let l = h - 42.635. Round l to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*sqrt(363)*-2*-4 + ((sqrt(363) + -2)**2*1 - (sqrt(363)*1 + 0)).\nAnswer: -935*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:56 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 2)*(1 + 0 - 4) - 4 + 4 - 14)*(1 - 7*k + 14*k - 10*k) to u + c*k and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -31. Solve 4*v + v = a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o. Suppose -g = -7*g. Suppose -m + 6*m = g. Suppose 3*h + m = -6. What is z(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f**2 - 14*f**2 - 25*f**2 + 91*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86219 and 11900.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 + 954. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40*5\/(25\/(-6)). Let k be 2\/(-3) + (-40)\/j. Which is the closest to -1? (a) 1\/4 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*d**2 + 138*d**2 + 131*d**2.\nAnswer: 1162*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054 is divided by 92?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**6\/5 - 7*n**5\/2 - 26*n**4\/3 - 20*n**3\/3 + 2*n + 23. Find q, given that a(q) = 0.\nAnswer: -10, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/22 - 20\/11. Is -4 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(-5 + -3*-2*-4*(-2*sqrt(125) - sqrt(125))*2))**2.\nAnswer: -201600*sqrt(5) + 64800784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let d be (-1)\/((380\/(-127) - -3)*-1). Let r(v) = d*v + 96*v - 160*v. Determine z(r(i)).\nAnswer: 63*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(1*sqrt(648)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5294149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 0.3, -5\/3 in decreasing order.\nAnswer: 0.3, -5\/3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 681809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 16*k**2 - 222427*k - 3336628. What is d(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(242) + (sqrt(242) + 0)*3 + 5 - (3*(sqrt(288) + -2 - sqrt(288)) + 4)))**2.\nAnswer: 5544*sqrt(2) + 35289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = -17. Suppose 25 = u + 3*i, -3*i - i - 36 = -d*u. What are the prime factors of u*-9*((-30)\/9 - -2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 848*m**2 + 12771*m + 13. What is i(-297)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 6*y + 236. Suppose -y*v = -54*v - 660. Let x = 165 + v. Round x to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-10 - ((-6 - -8) + -1 + 7)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 - -543. Find the second derivative of -63*i + 52*i**3 - u*i - 7*i**3 + 116*i wrt i.\nAnswer: 270*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, 34, 314, 734, 1294?\nAnswer: 1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.012947 to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050181637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496640 at least 1496638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29795076463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244322 (base 5) in base 3?\nAnswer: 1021020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463.9 - 19781630.\nAnswer: -19782093.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047 - 39831.176.\nAnswer: -39831.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 + -2 + -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/(-168) + 104754\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 8067.\nAnswer: -2\/8067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800811 is divided by 933598.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 27, -164, -537, -1152?\n\"Answer: -10*n**3 - n**2 + 4*n + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535851 is divided by 759?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1175 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srosmsqrsosr. What is prob of picking 1 q, 1 o, and 1 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 3*u**2 + u. What are the prime factors of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*-3 + (2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.1 + -46. Let v be (28\/6 + -6)\/(-14). What is the second biggest value in p, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - 514?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 464922, 929826, 1394730, 1859634?\n\"Answer: 464904*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 5*k**2 - 80*k + 30. Let n be i(-7). Let d(a) = -a**2 + 1. Let h(v) = 10*v**2 - 7. What is n*h(m) + 18*d(m)?\nAnswer: 2*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 82 + j - 51 + 6*j**3 - 8*j**3 + 2340*j**2 to o + l*j**2 + m*j + i*j**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 6*x**2 - 2*x - 2. Let r(s) = -2*s**3 - 7*s**2 + s + 3. Let u(d) = 3*a(d) + 2*r(d). Suppose 4*b + 9 - 21 = 0. Let m = 6 - b. Calculate u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23005 (base 8) to base 7\nAnswer: -40243","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:50 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + -126560.9.\nAnswer: -126625.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 79 in -3, 9, 0, 3, 17\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (10 + -7 + 20\/14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*3*((2*(sqrt(833) + 1))**2 + sqrt(833))*6.\nAnswer: 2268*sqrt(17) + 120096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/201, -10, 3, -3, 1, -1\/4?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14099, 14065, 14031?\n\"Answer: -34*h + 14133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 6:00 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1413*q - 8975 = -2*a + 1418*q, 0 = 5*a - q - 22495. Calculate the highest common factor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 240513.\nAnswer: -1\/80171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*c = 3893 + 14307 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7 - 3*u**3 + 0*u**3 + 2 wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/40 - 79*u**4\/8 + 6241*u**3\/4 - 493039*u**2\/4 + 2970*u. Factor c(s).\nAnswer: (s - 79)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 45 - 63 = 0. Let j = -137 + 177. Calculate the least common multiple of j and t.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 40713*p - 651280.\nAnswer: -(p + 16)*(p + 81410)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*d**3*z - 113*c**3*d**3 + 2*c**3*d*z - c**2*d**2 - c*d*z + 4*d**3*z wrt c.\nAnswer: 6*d**3*z - 678*d**3 + 12*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164 by -5.\nAnswer: 164\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 - 3*l + 1. Let p be -8*20\/(-96) + -2 + 104\/(-12). Let j(r) = -13*r**2 - 11*r + 4. Give p*c(o) + 2*j(o).\nAnswer: o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54549502 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:14 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + 6*(0 + sqrt(108)) + sqrt(108) - (-2*sqrt(108)*-1 + (2*sqrt(108) - sqrt(108))*4))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {l: 3, d: 4, t: 8, q: 2, f: 2}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*g = -16, 3*g + 9 = -2*k + 3*k. Let x be (-189)\/8 + k\/(-8). Let r be 1*10*(-12)\/x. Solve 0 = 4*u - z - 7, u + 3*u + r*z + 11 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/20750 and 41\/14.\nAnswer: 145250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*(-80)\/(-1080).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/25463 and -4\/5?\nAnswer: 127315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -1.52, -1 in descending order.\nAnswer: -1, -1.52, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.3 - 15. Let h = l - -0.7. Is 2 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Suppose -s + v*s = -28. Find the common denominator of 72\/s*(-98)\/8 and 13\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 422481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**3 + i**2 + 9*i + 2. Let u be x(-2). List the prime factors of u\/24*(-182)\/(-3).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.2 + 50. Let z = 0.8 - f. Let w = -0.09 + -0.31. Which is the smallest value? (a) -3 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287245939 is divided by 340.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-158)\/(-5) - 4\/(-10). Suppose -t = -4 - g. Calculate the remainder when t is divided by (-174)\/(-12) - 9\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 366033, 0.1, -1\/6.\nAnswer: -3, -1\/6, -0.1, 0.1, 366033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2008922*r - 895934*r - 863943*r - 1523946*r.\nAnswer: -5292745*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137122461 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7057*v + 48*v**2 - 14138*v + 7059*v - 2*v**3 to the form k + y*v**3 + x*v**2 + h*v and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2)*(-5)\/(-10). Suppose -16 + f = -4*x. Let q be 1 - (3 + (0 - x)). Solve -q*z = -z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 29. List the prime factors of y\/3 + (2 - (-204)\/3).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 21. What is the first derivative of -6*a - q - 5*a + 5*a + 41 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2986.\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b**(-1\/4)))*b*b\/(b**1*b)*b*b**(-2\/15)*b**(-2) assuming b is positive.\nAnswer: b**(-23\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2397 + 5209. List the prime factors of r.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -941043 or -941007?\nAnswer: -941007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-5)\/((6\/4)\/((-159)\/(-265)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 14 = 2*u + 24*h, 56 = 17*u - 4*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/(-7))\/(6\/(-4)). What is the remainder when 13 is divided by 22\/6 + b\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**3 + 0 - 1\/30*x**5 - 161*x**2 + 0*x + 0*x**4. Let f(k) = -16*k**2. Calculate f(l(t)).\nAnswer: -64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664 divided by -2.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:47 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:13 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2905.488m?\nAnswer: 2905488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:18 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + 28 - (3 + -6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 21.9. Let g = 0.43 + -0.03. Let h = 5 + -2. Which is the smallest value? (a) g (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/12 + 40*p**3\/9 - 400*p. Factor q(d).\nAnswer: -5*d*(d - 4)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r + 4. Let k = 13.2 - 13.1. Which is the second smallest value? (a) -4\/5 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50a21 + 199?\nAnswer: -50855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 35419*g + 178725. Determine c(-5).\nAnswer: 1630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 at most as big as 645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - 42 + 42 + (l + l + 0*l)*(0 - 2*l - 3 + 1) - 69*l**2 - 4*l**2 + 6*l**2.\nAnswer: -65*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 + 5 = 0. Suppose -6*u + 3*u - 2*o + 201 = 0, -2*u + 134 = i*o. What is the derivative of -34*b**4 + u*b**4 - b**2 + b**2 - 16 wrt b?\nAnswer: 132*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12220001010211200 + 12?\nAnswer: 12220001010211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 629 + -6935\/11. Find the common denominator of d and 25\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 141545?\nAnswer: -141552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1390 - -1405. Solve i = -9*p + 12*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:29 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35246*-2.\nAnswer: -70492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(13)*-5)**2 + ((1 + sqrt(832))**2 + sqrt(13) - -6*(sqrt(13) + 1)**2).\nAnswer: 29*sqrt(13) + 12617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2016 by -63.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4496 - -4497. Solve -73*w + 74*w = i + v, 5*w - 32 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*n + 18*p - 10 = 433*n + 44*p - 21*p, n + 4 = -3*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18860250739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y + 55. Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 + 529. Let y = t + -285. Let u(v) = v - 2. What is the remainder when y is divided by u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41.4? (a) 86\/11 (b) -1 (c) 1\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 - u**3\/6 + 17*u**2. Suppose -19 = -v + b + 2*b, -5*v = -2*b - 43. Let o = v + -8. Calculate r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 20*d + 14 = -32*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*u**3 - 9\/2*u**2 + 1\/4*u**4 + 0 + 0*u.\nAnswer: u**2*(u - 2)*(u + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*o = 67 - 477 - 190 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7*(-10)\/245)\/((-24)\/(-14)). Let s(u) be the second derivative of 0 + 0*u**2 + 2*u - 2\/3*u**3 - c*u**4. What is the second derivative of s(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/((q**(1\/3)\/q)\/q)*(q**(-1))**5)**(2\/9) assuming q is positive.\nAnswer: q**(-50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23864 divided by 8?\nAnswer: -2983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3366\/255)\/(-3 - (-454)\/150). Calculate the highest common divisor of 110 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/(n*n**1*n*n)*n))\/n)**(-20)\/((n*n\/(n*n**(-8\/3)))\/(((n*n\/(n\/(n\/n**(-4)))*n)\/n)\/n)))**(-3) assuming n is positive.\nAnswer: n**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -459\nAnswer: 2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*m - 5398*h**2 - 42*h*m - 2950*h + 12798*m wrt m?\nAnswer: 2*h**2 - 42*h + 12798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -75, 292, 1017, 2220, 4021, 6540?\nAnswer: 9897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:32 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7.5 (b) -593\/3 (c) 3 (d) 1\/6 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25394616?\nAnswer: 2, 3, 13, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 831*k + 28263. Determine p(36).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 73511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*-2)\/(4*sqrt(14)\/sqrt(2) - sqrt(7)) + (1*sqrt(2268))\/(sqrt(1296)*-2).\nAnswer: -35*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 284*q + 2677. Calculate s(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/26 - (-9)\/2. Solve 34 - 14 = -n*i, 2*z - 4*i - 30 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 - 9*x**2 + 3. Let b(g) = 2*g**2 + 1 + 0 - 3*g**2. Let a(l) = -3*b(l) + u(l). Find f, given that a(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52661 is divided by 26328?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432 = -1365*m + 1413*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 13*z**3 + 20*z**2 - 23*z + 82. Does 5 divide t(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4*z = 0, -51*z + 23*z = -2*g - 0*g - 27*z - 25 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**5 + 1718*o**4*q + 3*o**3*q**2 + 37*o**2*q + 2*o*q**2 + o*q + 13*o + 3*q**2 wrt o.\nAnswer: 120*o**2 + 41232*o*q + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5 + 2*sqrt(931) - (2 + sqrt(931) + -3)**2) + (-2*(sqrt(931) + 1) - (1 + sqrt(931) + -3))**2).\nAnswer: -7442 - 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16\/7, 0.9, 0.3, 12, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 - 1424*b**4 - 313644*b**3 - 21421232*b**2 - 452583698*b.\nAnswer: -2*b*(b + 49)**2*(b + 307)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from foddfofeffrf. What is prob of picking 2 o and 1 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94 - 91. Suppose a = -i*a + 16. Solve 2*b - 5*l - 4 = -0*b, -a*l = 4*b + 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -332471, -331701, -330931, -330161, -329391, -328621?\n\"Answer: 770*t - 333241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5433 + -4929. Calculate the highest common divisor of f and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 - 0.6. Let u be 352\/560 - (-3)\/(-7). What is the third biggest value in z, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*j**3 - 70*j**3 + 99*j**3.\nAnswer: -308*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - t**3 + (-27*t - 8*t**2 + 27*t)*(-2*t + 2*t - 2*t) as x + m*t**3 + h*t + w*t**2 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a - 6*a**5 + 13*a + 10*a + 2*a**5 wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/29 - 3)*(12 + (-114)\/12).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 12\/11, -16, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 196272 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.012908 - 5.\nAnswer: -4.987092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.02*0.4\nAnswer: 3.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 20*p + 4*b = p - 0*b + 52, -2*b + 42 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.607259 and -0.05?\nAnswer: -0.03036295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k**5\/3 + 18394*k**4\/3 - 59726*k**3\/3 + 68894*k**2\/3 - 32146*k\/3 + 4592\/3 = 0. Calculate k.\nAnswer: 1\/4, 1, 2296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = 3*c + u + 55, -5*c = 5*u + 920. Let l = c - -281. What is the highest common factor of l and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 55*z + 27 + 153 - 53*z as r*z + f and give f.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1163827 - 6967693\/6. Let q = -2538 + h. Calculate the common denominator of -67\/12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.84\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (5 - 6))\/(-4 + 38\/10). Put -1\/3, 1, -2, i, -0.13 in ascending order.\nAnswer: -2, -1\/3, -0.13, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1972 + -1119. Suppose f = 5*v - 282. What are the prime factors of v?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263.\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-3 + (4 - 2)). What is the remainder when 24 is divided by b\/(4*(4\/1)\/208)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-12))\/(8*5\/528)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t**3 - 35*t**2 - 160*t**3 + 89*t**3 as y*t**2 + b*t + n*t**3 + g and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -373\/134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 667.2963mg?\nAnswer: 667296.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807018 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + 4*(-1 + sqrt(72)) + sqrt(72))**2.\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 3*t - 145 - 143 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 13*v - 135. Solve v*l = 17*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/134640 and -161\/73440?\nAnswer: 807840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**3 + 2*r**2 - 1. Let y = -25 + 26. Give j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -163*h - 2. Let c be o(-3). Suppose -3*k = 1265 + c. What is the tens digit of k\/20*10\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000001010111 - -1010?\nAnswer: -10111000001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15666802 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*s + 10772 = 1587 - 8691 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252313?\nAnswer: 252313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f**3 + f**2 + 3*f + 1. Let q be u(-1). Suppose -q*n - 30 = -15*n. Suppose 0 = -n*x - 2 + 38. What is the lowest common multiple of x and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 11*u**2 - 12*u - 2. Determine h(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, 5, 40 in descending order.\nAnswer: 40, 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3. Let l(p) = -p**2 - 4. Let v be (-36)\/(-10) - (-1 + 8\/5). Determine v*l(i) - 4*d(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 11*v**2 - 12*v - 16. What is i(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -2*m - 4*r, -4*m + 6*m + r = -186. What is the tens digit of (-12278)\/(-38) + 5*2\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44746 or -44749?\nAnswer: -44746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3068225 and 2568?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -14 + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18829 * -135.\nAnswer: -2541915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9009*y**3 - 18019*y**3 + 9017*y**3 + y**2 - 20 + 12*y to the form m + n*y**3 + b*y**2 + c*y and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (20\/15)\/(6\/153)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 8. Calculate the remainder when (y - 20\/(-3))*3 is divided by 8\/(-6)*336\/(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 6*u + 1 + 0. Suppose -a + 4 = 0, 5*o - a = 2*o - 22. Is s(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-27)\/28344) - 12\/54. Calculate the common denominator of -59\/30 and (-1)\/3 - (-8 + (-7091)\/v).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + d + 20. Let f be i(0). Let s be 8 + 3*f\/(-10). Solve -10 = -2*j - 0*j + 4*t, j = -s*t - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a - -4?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from oxzxwooozowwo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 2. Suppose 3*i - c = -4. Suppose -5*z = -4*z + u - 22, 2*z - i*u = 64. Round z to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/125 - (-1 + (-496)\/(-10)). Let w = 4 + g. Does 32 divide (5\/w*-3)\/(1\/117)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) 9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222 - 1?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -319752 bigger than 3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 214\/((-28)\/77*407\/74).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -96 - 154897\nAnswer: -154993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(306)\/sqrt(2))**2 - -1*(1*sqrt(833))**2*2.\nAnswer: -6*sqrt(17) + 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 48, 62, 60, 36?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343 + -216. Let u = o + -126.7. What is the closest to 2\/3 in 0, 1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75121.\nAnswer: 43, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 1. Suppose 3*o - 14 = h, 9 = h + 2*o - 2. What is v(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4017.\nAnswer: 3, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 7*p**2 + 6*p + 6. Let c be w(-6). What is the greatest common divisor of c and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -33*o - 2. Let u(v) be the second derivative of -13*v**3\/6 - 709*v. What is u(n(k))?\nAnswer: 429*k + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 4:20 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 5115.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 307 in -0.3, -98\/31, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/81, -0.3, -5, -16?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 4*l + 2. Let h(d) = d - 2. Let z(n) = g(n) + 4*h(n). What is the least common multiple of 60 and z(-7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58807 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1\/105*p**7 + 0 + 0*p**4 + 0*p**6 + 1\/3*p**3 + 0*p + 6*p**2 + 0*p**5. What is the derivative of k(g) wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/120 - w**5\/60 + w**3\/6 + 2*w**2. Let q be b(0). Let v(f) = 7*f**2 + 1. Give v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.264 (b) -0.5 (c) -15 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15*(-3 + 2 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*l + 6, -14 + 12 = -l - r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11759 + -11759.5. Sort n, -2\/11, 0.013, -5\/4, 1.\nAnswer: -5\/4, n, -2\/11, 0.013, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 3483 = -32*i. Suppose -i = 3*y + 6*y. Let r = 259\/2 + y. Sort r, -3\/5, -44 in descending order.\nAnswer: r, -3\/5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*30\/23760*-9 - 1124\/22?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.87676 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*j - 1 + 2*j - 9 + 5*j**4 + 22*j**3 - 20*j**3 as b + z*j + a*j**2 + w*j**4 + u*j**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 395.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136 + (-9)\/(27810\/1020 - 27)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8258224 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4480855979 + 0.5\nAnswer: 4480855979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 5, g: 3, i: 1, t: 4, a: 1}. What is prob of picking 1 x and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1311 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5304 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-30)\/40)\/(0 + (-4)\/(-48)). Solve -2*h = -v - q, -4*v - 18 - 3 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 4*d - 11*d + 10845 - 10845 + 5*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -28*l + 14. Let c be q(-3). Let h = c + -82. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 37*v + 351 = 0. What is the least common multiple of (-3)\/(-8) + 0 - v\/(-8) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111517980 a multiple of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 17921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1c9?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*h = -32111, -252*h - 12834 = -2*k - 248*h. Is 162 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/82333, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-8) + 6\/(-8). Let m = 17 - 1. Let u = -11 + m. Sort 1, d, u in descending order.\nAnswer: u, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81177041 to the power of 1\/2, to the nearest integer?\nAnswer: 9010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1571*i - 4390. What is the thousands digit of u(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:18 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -23*n**3 - n**2 - 11*n + 10. What is the remainder when s(-4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 254 (b) 0 (c) -0.049 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 179 - 449*b**2 - 508*b**2 + 370 - 11 + 325*b**2 wrt b.\nAnswer: -1264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.6 (b) 8 (c) 0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 59*m + m - 2 + 0*m - 36*m.\nAnswer: -107*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 + 2 - -1) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*0.09629\nAnswer: 0.0134806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -82. Let t(h) be the third derivative of -3*h**j + 1\/60*h**5 - 1\/12*h**4 + 0*h + 0 + 0*h**3. Find the second derivative of t(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3*(-1)\/(-1) - (-4 + -345)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 641 = -547. Suppose -v - 1690 = -2*g. Suppose 0 = -4*m + 5*u + g, -4*u - 1040 = -4*m - 0*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 795 = 175*v + 120, -4*v - 3 - 12 = -v for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 - 102. Let r = 88 - 103. Is m smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2412*-0.2.\nAnswer: -482.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 4850271*q. Let m(d) = 2*d. Determine m(z(o)).\nAnswer: 6*o**2 - 9700542*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1755768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-154 + 156)*(-2 + (-123)\/(-66)). What is the nearest to -0.1 in c, 0.2, -2\/3, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*2*1. Let a be (-7 + 13)*(-169)\/10. Let i = -101 - a. Put -0.4, i, j in decreasing order.\nAnswer: i, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**25)*o\/(o**(5\/2)*o)*(o**(-1\/6))**16)**31 assuming o is positive.\nAnswer: o**(-5611\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 566 - 324. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d. Let h(s) = -13*s. What is -4*h(k) - 9*n(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13524 (base 6) in base 16?\nAnswer: 85c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*k + 59 = -4*o + 8*o - 845*k, -10*o + 10*o - 4*k - 20 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**11)*(((l*((l*l**(-2))\/l)\/l)\/l)\/l*l*l)\/l*l)\/(l**3\/((l*l\/l**10)\/l)) assuming l is positive.\nAnswer: l**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3\/2 (c) -25.248 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(1425\/(-600))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128299?\nAnswer: 17, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -45. Sort p, -2, 0 in descending order.\nAnswer: 0, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1213*t**2 + 408*t**2 - 1605*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027904*-379.\nAnswer: 10.575616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 60*m**2 - 1503*m + 14. Calculate f(19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-189)\/54)\/((-2)\/8 - 0). Solve 0 = -4*t - 2 - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 7819*p - 23673*p + 7933*p + 7928*p.\nAnswer: 7*p - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 1. Let q(w) = -6*w**3 + w**2 + 3*w - 4. Determine 4*h(o) + q(o).\nAnswer: -6*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 524747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/686 and -51\/3430.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/30 - 11*p**5\/60 - 5*p**4\/24 + 2*p**3 - 153*p**2. List the prime factors of v(8).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -12*h + 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/409830784 and 133\/15312.\nAnswer: 1229492352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.64003 to one dp.\nAnswer: -158.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7377*x. Let z(j) = -14*j. Calculate v(z(k)).\nAnswer: 103278*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5 - d + 3 + 4. Let y be s(-6). Let g = -4 + y. Sort g, 1, 2.\nAnswer: 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 8. Let l be (-2 - 0)\/((-16)\/(-24)). Let v(b) = -6*b**2 + 17. Let p(r) = l*v(r) + 7*x(r). Differentiate p(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -40, -302?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8747 + 17580. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015028943 to the power of 1\/3, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14*m - 276. Let q be g(-21). Let l(o) = o - 2. Let t be l(5). Solve -t*v - 1 = 2*j, 0 = -6*j + 3*j + v - q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 15 - 8) + (-4 - (1 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1673?\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2336 - 2335.83. Sort 1\/2, 1\/3, q, -0.2, 110 in decreasing order.\nAnswer: 110, 1\/2, 1\/3, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + 5*sqrt(114)*1 - -4*(sqrt(114) + (1*sqrt(114) - sqrt(114))))\/(3*sqrt(1080)\/sqrt(5)).\nAnswer: 5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764787 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-66)\/2*(-5)\/825*15. Put -6, 5, g, 4, 0 in decreasing order.\nAnswer: 5, 4, g, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1684b036 + -6?\nAnswer: -1684b03c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011111011110010111110 (base 2) to base 15.\nAnswer: -41be75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -6. Which is the biggest value? (a) -1\/4 (b) 0 (c) t (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108394595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -163\/67?\nAnswer: -163\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/3140 and 44\/22765.\nAnswer: 91060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -457646.41 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*b**5 - 6124*b**4 + 37932*b**3 - 55524*b**2 + 22048*b + 1728 = 0. Calculate b.\nAnswer: -108, -1\/15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - -4.2. Let u = 0.114 - -19.886. Let t = u - 21. What is the nearest to t in w, -3\/2, -11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22919194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5482*s + 4*s**4 - 5*s**4 - 5478*s)*(-2*s + 3 - 3).\nAnswer: 2*s**5 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1359 divided by -3\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((4 - (7 + -10)) + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212518053?\nAnswer: 3, 11, 715549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-6))\/(((-130)\/(-45))\/26)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23464, -97493, -220884, -393643, -615776, -887289, -1208188, -1578479?\nAnswer: -1998168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 5:51 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 3*i**3 - 4*i**3)*(-1 - 3 + 2) to c*i + d*i**3 + n*i**2 + a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7307013*d*t - 269285*t - 2 wrt d.\nAnswer: 7307013*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22203 (base 4) to base 13.\nAnswer: -3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**2 - 3590210*w + 114659340?\nAnswer: 2*w - 3590210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14272 = -841*i + 7386 - 1474 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 799 and 9.\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssbsbbssbbb. What is prob of picking 2 b and 2 s?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let u(q) be the second derivative of q**4\/6 - q**3\/6 - q. Let l be u(-2). Let t be l\/(-4) + 1\/(-2). Determine h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 + 114?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/88 - (-15)\/(-8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12836*p - 38508. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/7 + 62732136*y.\nAnswer: 3*y*(y + 146374984)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 28, 47, 72, 103, 140, 183?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 26*t**2 + 66*t - 457. Is s(42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f09e (base 16) to base 6\nAnswer: -2420330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v + 2. Let m be (-6)\/(-4) - 2 - (-45)\/(-6). Determine g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665654.\nAnswer: 2, 3, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 160*f + 165.\nAnswer: -5*(f - 1)*(f + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/12 + f**3\/6 + 14*f**2 - f. What is the remainder when k(0) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 7 = -35. Suppose 7*o + 2 = 3*o - 5*k, 0 = 3*k - y. Let q be o - ((-8)\/2 - -6). Put -1, 4, q in ascending order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*3\/(-24)*2. Suppose -m - 3*o + 29 = 0, m - 33 = -4*o + r. Suppose m*d = 10*d + 48. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 2.9. Let g = s + -0.2. What is the nearest to 1 in g, 4\/7, 2\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 3. Let y be b(2). Suppose -j - 20 = -y*j. Suppose -j*g + 4*i = -211, -5*i + 0 = -5. Solve 18 = -5*l + g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(495\/18) + 1597\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p**2 + 5*p + 110. Let c(r) = -3*r**2 - 2*r - 38. Give 11*c(k) + 4*j(k).\nAnswer: -k**2 - 2*k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585212913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1938 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, -19042101 in ascending order.\nAnswer: -19042101, -3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -36*y + 4. Let u be j(1). Let k = 238 + u. What are the prime factors of k?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(304) + 0)*6*1)**2.\nAnswer: 10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 13*h**2 + 2*h - 59. Let f(p) = 5*p**3 + 65*p**2 + 11*p - 296. Let k(x) = -4*f(x) + 22*j(x). Find the first derivative of k(b) wrt b.\nAnswer: 6*b**2 + 52*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -424 + -11014?\nAnswer: -11443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 6*n**2 - 18*n - 11. Let k be b(-8). What is the highest common divisor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 2, e: 11, f: 1, n: 1, p: 3}. Give prob of sequence essn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3) - (-40)\/100*8455\/399\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9531, 11, -0.5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/32*8*22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 570 - 570 - 26*q**3 + (-q**2 - 5*q**2 - q**2)*(-q - 3*q + 5*q).\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 - -6. What is the first derivative of 181*h - 3*h**4 - s*h - 1 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**5\/2 - 123*i**4\/2 - 197*i**3 - 168*i**2 = 0.\nAnswer: -21, -2, -8\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 714727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1701 times 390\nAnswer: 663390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 34975, 4\/5, 0.1, -0.2, 0 in descending order.\nAnswer: 34975, 4\/5, 0.1, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 2 = -f. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from fssisfbsi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-8 + -3 - -17) + (9 - 5) + 27)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1927853733, 1927853734, 1927853735, 1927853736, 1927853737, 1927853738?\nAnswer: 1927853739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 1693 = 1677. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 15. Suppose -3*q = -2*m + s, 2*m = -2*q + m. Let u = 107 - 219\/2. Which is the third biggest value? (a) u (b) -0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + sqrt(85)*3)*4)\/((sqrt(5) + sqrt(30)\/sqrt(6))*2).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 7884 = 2*r - 7554 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -9.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 226380 and 1127.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800249060.\nAnswer: 2, 5, 13, 3077881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + 223\/3. Does 11 divide 10\/35 - v\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/30 and 29\/12350.\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -9 + 68\/18)\/1. What is the nearest to 1\/4 in 5, r, -1.2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/11 - 222\/11. Let l = 9 + -28. Let f = l - t. Sort f, -2, -3.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9 + 0 + 53*w - 1. Let c be i(-4). List the prime factors of 3\/2*c\/(-9).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by -46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4) + (-15974)\/7448?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:56 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1577804.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*z - 2. Suppose 3*k - t = 2, k - 5*t + 24 = 6. Put z, -2, k in decreasing order.\nAnswer: k, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 22 - (6 - (-1 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(18\/(-3) - 280\/(-42))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 20 = 5*p, p + 2*v - 4*v = 5. Let a be (-1)\/1*(p + -2). Let q(f) = -f + 5. What is the units digit of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405394?\nAnswer: 2, 11, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-2)\/(-1)*14\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 86593?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m + 27 = 117 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8269.024238 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2657b9 - 5?\nAnswer: 2657b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -z, 4*b - 12 = -5*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 18*k**2 - 119*k + 1132. Calculate m(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most -170578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 0. Let t = 223 + -226. Suppose -11 = 5*g - 2*g + 4*d, -g + 3*d + 18 = 0. Which is the third biggest value? (a) g (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1747191, 1.\nAnswer: -1747191, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -17, 1, 2 in increasing order.\nAnswer: -17, 0.11, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - 209766?\nAnswer: -209796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1152891*l**3 - 2773538*l wrt l?\nAnswer: -6917346*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63016, 63024, 63044, 63082, 63144?\n\"Answer: a**3 + a + 63014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 1, m: 3, e: 1, q: 1, k: 5}. What is prob of picking 1 e, 1 a, and 1 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**3 + 19*p**2 + 12*p + 32. Determine j(-6).\nAnswer: 2804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56755216 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26183786 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 8\/47, 0.1, -40\/11, 0, 9?\nAnswer: 8\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*f + 139*f - 4*b + 160 = 0, f + 5*b = 86. Calculate the greatest common factor of 2394 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524029 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 17 + 4. Let k(a) = -19*a**3 + a**2 + 2*a + 1. Let l be k(-1). Let r = l - b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6983 + 12725. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -67. Suppose -35 = 4*r + v. Let w be ((-1)\/2)\/(2\/r). What is the closest to 1 in w, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {n: 3, k: 4, j: 1, y: 2, f: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-1\/10)\/x)*x**(2\/7)*x**1\/((x\/(x\/x**(-1\/7)))\/x))**21 assuming x is positive.\nAnswer: x**(951\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -178925, -357964, -537003, -716042, -895081, -1074120?\nAnswer: -1253159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 82 = -18. Is 388\/y + (-1)\/4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 116.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -52*b + 564. Calculate j(0).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 7*u + 815. What is the remainder when 14487 is divided by x(25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153860 is divided by 2665.\nAnswer: 1955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3887*v**2 + 7803*v**2 - 3916*v**2 - 897*v**3.\nAnswer: -897*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -5, -2, -14, -114.\nAnswer: -114, -14, -5, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142832399?\nAnswer: 142832399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:39 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*z - 6, 27 = 5*x + 3*z + 7. Suppose 2*a - n - 1 = 0, n - x = a - 2*n. Solve 3*g - a*h + 10 = -3*h, 2*g - 12 = 4*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 51*z + 32. Let n(u) = -12*u - 8. Calculate 26*n(j) + 6*w(j).\nAnswer: -6*j - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:49 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:25 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85, 89, 93, 97, 101, 105?\n\"Answer: 4*l + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 5:29 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 65. Suppose 12 = -n*f + 5*f. Differentiate -21*h**3 + f*h**2 - 8*h**2 + 2*h**2 - 8 with respect to h.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2921908 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-15))\/(2\/1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7219*a - 11440 = -7427*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.87 - 0.57. Let q = -1\/42 - 9\/14. Which is the third smallest value? (a) -1\/2 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-46)\/(-7) - 4\/(-7). Let m(a) = 4*a**2 - 4*a - 2. Let f(b) = -9*b**2 + 7*b + 4. Let z(l) = k*m(l) - 3*f(l). Give z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/18 + (-1)\/(-2). Let z(r) = -2*r**2 + 5 - r + 4*r + r**2. Let i be z(y). Which is the smallest value? (a) 21 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64584 less than 2?\nAnswer: 64586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 88 + 18 = 5*o, -4*r + o = -44. What is the smallest common multiple of (11\/(1925\/(-100)))\/(1\/(-21)) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.244253 - -0.055747. Let m = -1.7 - 0.9. Let u = m + -0.4. Is a greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 5*c + 3*c**4)*(-3 - 2 + 3 + (0 + 4 - 5)*(2 + 0 + 0) - 12 + 4 + 10 - 10 - 2 - 17).\nAnswer: -93*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/9 - (-17)\/153.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 8245034*v - 8245034*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 24. What is the greatest common factor of t and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2300326*a**3*n - 5*a**3 + 209*a*n - 15001*a wrt a?\nAnswer: 13801956*a*n - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/426 and 52\/497?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k**2 - k**2 + 3*k**5 - 2*k**2)*(-1 + 2 + 0)*(1 - 2 - 1).\nAnswer: -6*k**5 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -5, 14, 1\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1760)\/(-6) - (-3)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 572428*l*m**4 - 8*l*m + 8920*l + 2*m**4 - 2*m wrt m.\nAnswer: 6869136*l*m**2 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(112))**2 + 5) - (2*sqrt(6300) + sqrt(6300))*1.\nAnswer: -708 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 0 - 10)*(-2*w**3 + 0 + 0).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120720, -241463, -362198, -482925?\n\"Answer: 4*u**2 - 120755*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -840 bigger than 784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 139*p**3 + 306*p**3 - 163*p**3 to a*p**2 + n*p + k + q*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + 6 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -22 - (5 + -1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 78*d - 4. Let c be z(-2). List the prime factors of c\/(-12)*27\/12.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 7*p**2 + 2 + (1 + 2*p - 1)*(-3*p + 4*p - 2*p) - 2*p**2 - p**2 + p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 8*a**2 - 8*a**2 + (-2*a + 0*a + 3*a)*(-a**2 + a**2 + 4*a**2) - 4*a**3 + 4*a**3 + 2*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*h + 2 - 2.\nAnswer: 198*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8437163293611.9 and -0.1.\nAnswer: 8437163293611.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -44*z**2 - 229*z - 5. Calculate w(-3).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 300 = 20*r + 8*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (259 - 102 + 145)*(0*m**2 - 2*m**2 + 3*m**2) as v*m + k + t*m**2 and give t.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**4\/6 + o**3\/3 + 6*o**2. Is k(5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, g: 3}. What is prob of picking 2 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47880459.\nAnswer: 3, 11, 83, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 7*s**4\/6 - 17*s**3\/2 + 36*s**2. Find the first derivative of v(o) wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7257 and 5781.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -7. Let c(h) = -h**2 - 7*h - 6. Let t be c(y). Solve -4*j - d + 10 = j, -2*j = d - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 s when three letters picked without replacement from kkkkkkkkskkkkkkkkkkk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, -45, -102, -159, -216, -273?\n\"Answer: -57*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**3 + 11*d**3 + 12*d**2 + 28*d**2)*(2*d**2 - d**2 + 2*d**2).\nAnswer: 12*d**5 + 120*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -2, 3, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -124, 46 in increasing order.\nAnswer: -124, -6, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 54. Suppose j*t - 326 = 214. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 17451911 - 3*k - 17451911 + 2*k. Let m(i) = -686*i. Give m(b(h)).\nAnswer: 686*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1827500*g**3 - 4*g**2 + 12*g - 8. Let s be j(2). What is s rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38970325*t**4 - 16975058*t + 3 wrt t?\nAnswer: -467643900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r - 6*r + r to i*r + w and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 + 9*h + 10. Let r be t(-8). Suppose -s - 33 = -r*s - n, -5*s + 2*n = -137. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2, -309, 0, -78, 6.\nAnswer: -309, -78, -4, -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 + 5664*p**2 - 3648672*p - 522858240 = 0. What is p?\nAnswer: -120, 1476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 297312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/2)\/(-5))\/(6\/(-24))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 346 (b) 3 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {k: 6, j: 3, r: 1, h: 7}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 0. Suppose -5*g - s = -2. Is g less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*t**3 + 0 - 3\/2*t**2 + 3\/2*t**4 - t + 1\/2*t**5.\nAnswer: t*(t - 1)*(t + 1)**2*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j**2 - 1. Let g(w) = -4*w**2 - 52*w + 1. What is g(v(o))?\nAnswer: -1156*o**4 - 748*o**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 25*c + c**2 + 18*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5018*o + 1840*o - 336868 = 0 for o.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let q(h) = -4*h. Let c(g) = 6*q(g) + 11*z(g). Let b(n) = -178 - 5*n**2 + 85 + 93. Give c(b(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 8. Suppose 0 = -2*h + o + 15. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 2*s - 61 + 3*s - 6*s - 304 in the form w + t*s and give w.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 14432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/2*(10150\/140)\/(-145).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 44 = 14. Suppose j*r = 7*r - 20. Calculate the least common multiple of 2 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -79*u**3 + 4*u**2 + u - 4. Let k be r(2). Let o = 623 + k. Suppose 0 = -d + 12 - 2. Solve -o*p + d = -10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -45 + 9 - -6 - 20?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 44*z + 476. Let b be j(-25). Put 0.3, b, -160, 4 in ascending order.\nAnswer: -160, 0.3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (5 - (1 + 2)) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1818, 3606, 5400, 7200, 9006?\n\"Answer: 3*r**2 + 1779*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 19 - 2 - 1 - 1 + 1 - 2 + 0 + (2 - 3 - 1)*(-1 + 0 - 1))*(3 + b - 3) to t + p*b and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a century in months?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**2 + 200*r + 23. Calculate the remainder when 708 is divided by h(33).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 235\/(-30)) + (-1)\/(-6). Suppose -m + 0 = -5*q + z, -4*q - 12 = 3*m. What is the biggest value in -1\/7, m, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = b + b + 3*x, -5*b - 3*x - 5 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 56*u**2 - 166*u**2 - 2*u - 19*u**2 to the form g*u + d*u**2 + t and give d.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-105 + 92 + (-1 - -106))) + (21 - 9)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hln when three letters picked without replacement from hlnbhfblfljlhlnhbnhl.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1591 in 7\/3, -0.02, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - n**2 - 3*n. List the prime factors of g(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*v**2 + 362*v**2 - 223*v**2 - 2*v as i + r*v + j*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 804 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 2, a: 1, w: 2, l: 4, b: 1}. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113976393, 227952785, 341929175, 455905563, 569881949?\nAnswer: 683858333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11.9743*2785\nAnswer: -33348.4255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**4 - 25874*t**3 + 141*t - 165028185.\nAnswer: 8*t**3 - 77622*t**2 + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2897.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - 274\/18. Let t be (-175)\/a - (-1)\/3. Let c = 34 - 10. Calculate the highest common divisor of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6824*u**2 + 5897*u**2 - 12719*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 12\/509 (c) -1\/9 (d) 1\/2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12118, 24286, 36454, 48622, 60790?\n\"Answer: 12168*v - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2 (b) -1\/20 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 10, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/111 (b) 0 (c) 8 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -3*v**5\/20 - v**4\/4 + 17*v**2\/2 + 18*v. Is f(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 + 6900*x**4 + 82265*x**3 + 253290*x**2 + 287360*x + 109440 = 0. What is x?\nAnswer: -1368, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 11. Determine b(20).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**2 - 39*c + 32. Let i be (-108)\/(-42) + (-3)\/(-7). Suppose k + 0*q = -i*q + 42, -k - q + 32 = 0. Is v(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*g + 212 + 156, p + 5*g - 187 = 0. Let q = p - 178. Let t be (0 - 21)\/(3\/(-2)). Solve 5*y + q = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:50 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*q + 12 = 0, -q - 9 = 3*l - 0*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 1456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32533 + 11281 = -2371*q + 74139 - 551 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) 27 (c) -0.09 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 990435800 rounded to the nearest one hundred thousand?\nAnswer: 990400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 16\/7*l + 8\/21*l**3 + 16 - 1\/28*l**4 - 10\/7*l**2. Suppose a(x) = 0. What is x?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4081 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxtnf. Give prob of picking 1 x and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 4*y - 2*y)*(-6 + 2 + 2)*(0 - 6 + 1)*(-2 + 2 - 2*y) in the form h*y**2 + r*y + x and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0787 + -0.07870955. Round y to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 954.2, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -2*q + 413. Suppose 3*y - 366 = -0*y - 2*d, -2*y = 4*d - q. What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 - 1 + (2 + 4 - 4)*(0 + 5 - 2))*(-18*h**2 + h**2 - h**2) as r*h + b*h**2 + x and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -59.9 and 6.4871656707?\nAnswer: 66.3871656707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3120*d - 3121*d = 92, -5*d = -m - 84. Suppose 0 = 2*l + 2*l + 140. Is m greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 4 - -2)*-14*(-1)\/(-7). Calculate the greatest common factor of h and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -402*c + 1175. What is k(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:12 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -16. Suppose 2*k = k - 10. Let i = k + w. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*d + 66 = 0, -240 = -5*o + 7*d - 2*d. What is the highest common factor of 5187 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.269 - -1.969. What is the second biggest value in 2, 0.4, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1412778 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 419*j**3 - 2*j**2 + 6*j - 5. Let g(y) = 831*y**3 - 5*y**2 + 15*y - 11. Calculate 2*g(b) - 5*q(b).\nAnswer: -433*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -40*t**3 + 6*t**2 + 6*t + 6. Let j(f) = -f**2 - f - 1. Suppose 50 = -23*i + 27. What is i*d(x) - 6*j(x)?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/3)\/(22\/(-363) + (-1587)\/(-26730)). Are 1890 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 2, y: 9, f: 3}. What is prob of picking 1 y, 2 f, and 1 b?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)*d)\/d**(-10) assuming d is positive.\nAnswer: d**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 8.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/36 and -59\/66.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:41 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxykxxxyy. Give prob of picking 1 x and 3 y.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let u(a) = -41*a**2 - 2. What is w(u(b))?\nAnswer: -1681*b**4 - 164*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 + 1 - m**3 - 9*m - 8*m**2 - 3 - 1. Let l be k(-7). What is the units digit of (-20)\/(-3) + l\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/5 - 2253*j**3\/5 - 4518*j**2\/5.\nAnswer: 3*j**2*(j - 753)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 840700 divided by 84070?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6 + 2. Suppose 64 = 4*y + 4*z, -4*z + 68 = p*y + z. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 602.5072096 to the nearest ten.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17986 + 24986. Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 2607297*x + 5214598.\nAnswer: -(x - 2)*(x + 2607299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8*131.\nAnswer: 1938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 12*f + 130 = 0. Let d(o) = o + 31. Let i be d(f). Find the second derivative of i*j**3 + 14*j + 17*j - 4*j**3 - 7*j**3 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*q + 4*q. Suppose -2*p = 4*a - 58, -q*a + 6*p = p - 37. Find the second derivative of -9*w**4 - 5*w**4 + 4*w**4 - 34*w - a*w**4 wrt w.\nAnswer: -276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is the square root of 9663436 to the nearest integer?\nAnswer: 3109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3960 by 60.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 - 117. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2690441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*m + 14*m**2 - 19*m**2 + 9*m**2 - 2*m**2 - 278*m to b + r*m + w*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4916 - 175*t**2 + 4916 in the form i*t**2 + m + k*t and give i.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiuiiiiiiuiiiu. Give prob of sequence uiu.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 14*x + 11*x + 151.\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*d - 33*d**3 + 48*d**4 - 23*d**3 + 3 + 99*d**2 - 44*d**3 - 20*d**3.\nAnswer: 3*(d - 1)**2*(4*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**2 + 70*x**2 - 26*x**2.\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-322)\/28 + 3\/2. Let w be g\/15 - (-5)\/3. What is the first derivative of 11*t + w + 0 - 10*t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 9*y - 5*v - 107, 2*v - 250 = -4*y. Find the third derivative of -534 + 534 - 8*a**2 + y*a**6 wrt a.\nAnswer: 7320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 275 - 271. Solve 4*r + 4*l = -12, -4*r = l + i*l + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 426, 655, 884?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10479747037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 186 - 77. Let j be s*(0 + 4 + -5). Let t = j + 294. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 - 13*a + 3. List the prime factors of x(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2)\/(7\/(-42)*-6). Let w(i) = -i. Let c(d) = -2*d + 1. Give y*c(q) - w(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 19*k - 2. Let r(v) = v**3 - 232*v**2 + 1121*v + 3280. What is the remainder when r(227) is divided by t(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolsolsl. Give prob of picking 2 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 1584714*w**2 - 3169434*w - 1584718.\nAnswer: 2*(w - 792359)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(6 - 2). Suppose -3 = -w*c + 13. What is the common denominator of -43\/10 and (-2)\/(c\/(-29)) + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 3*u + 2*u + (-75*u - 65*u - 66*u)*(1 - 3 + 0) + 2 - u - 2 + (1 + 1 + 0)*(0 + 5 + 5)*(4 - 4 + 9*u) to the form w*u + p and give w.\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v = 24*v + 21562. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 12*m - 12 = 0. What is the hundreds digit of m\/(16\/(-12)) - -107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s**(1\/16)*s*s)))\/(s**(-1\/4)*s*s)*s\/s**20*s*s*(s*s**(19\/3))\/s assuming s is positive.\nAnswer: s**(-449\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10*-16.1\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -360177\/25 + 14407. Let p be 2 - (12\/15 + 2). Which is the closest to g? (a) 5 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76895 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 12:20 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 - 54*k**4*w - 5*k*w - 10 wrt k?\nAnswer: 40*k**3 - 648*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2018.2 - 2018. Let d = -0.8 - -0.3. Put p, 3\/2, -3, d in decreasing order.\nAnswer: 3\/2, p, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161112 or 161110?\nAnswer: 161110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 578556?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373668140 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00366214486 rounded to 4 decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50166445 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2535.2108 and -0.09.\nAnswer: 2535.1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713*l**2 - 1779*l**2 + 8327 - 4601*l**2 wrt l.\nAnswer: -11334*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -30. Suppose -v + 14 = 2*l, -v + g = 3*v - l. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*n - 78*n = 5760. Let q be (-934)\/(-6) + (-2)\/(-6). Let x = n - q. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/(-35))\/(2\/100). Let y = x + 46. Let v be (50\/y)\/((-3)\/(-792)). What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -7 - -3)*102\/(-10). Suppose 3*p - t - 3 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 64660 = -b. Let s = -454455\/7 + b. Let v = -14267\/56 - s. What is the common denominator of 109\/14 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 108431843 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-468)\/306)\/(-2) + -1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 54 = 14. Let z = -14 + w. What is the third derivative of 16*t**z - 17*t**2 + 13*t**2 + 21*t**2 wrt t?\nAnswer: 1920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 2*k - 22. Give f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 14781919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 1741964?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 3*n - 3*q, 4*n + 5*q = -24. Let z(k) = k**2 + 8*k + 9. What is z(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74114929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**4 - 1248*v**3 + 97340*v**2 + 1248*v - 97344 = 0.\nAnswer: -1, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 37*q + 31*q + 5.\nAnswer: 68*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/3080, 3\/4, 3 in descending order.\nAnswer: 3, 3\/4, 3\/3080, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203624 or 203618?\nAnswer: 203624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22476 times 0.036?\nAnswer: -809.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -840*d**3 - 2393*d**3 + 654*d**3 - 630*d**3.\nAnswer: -3209*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33268.4 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 6*k - 78, -28 = -4*v - 4*k + 40 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n - 15 = 0. Suppose -3*m = -a - 20, -m + 11 = 4*a - 13. Let x be 1*3 + (-9)\/(m + -5). Solve x = n*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*t - 0*f - 3*f, 0 = 4*t - 2*f - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1394756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g\/g**5)\/g*g))\/(g*g**8*g))**(9\/4))**1 assuming g is positive.\nAnswer: g**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-17 - (19 + -28)) - (-1 + -23)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-616)\/(-21) - -1. Suppose a - k = -5*x, -4*a + 2*x = 7*x - 195. Let r = -6 + a. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**(5\/6)\/((y**(-3)*y)\/y*y**2) assuming y is positive.\nAnswer: y**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*(-40)\/(-64) + 506\/308\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4\/2 - 13*v**3 + 35*v**2\/2 - 3*v.\nAnswer: v*(v - 3)*(v - 2)*(5*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*g + 30, 0 = -5*b - g + 11 + 13. Solve -2*r + f = -b, -5*r + 3*f + 21 - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.05 + 27. Let r(q) = 2*q + 4. Let f be r(-3). Which is the biggest value? (a) 0.5 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204195*p**3 + 775*p**4 + 204195*p**3)*(-2 + 1 + 0) - 2*p**4 + 2*p**4 - 2*p**4.\nAnswer: -777*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43682 - -204531. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-12)\/(-16))\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-4) + (-17)\/(-68). Does 9 divide 42\/1*(s - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 28*d - 9 - 3*d + 52*d)*(14 + 8 - 1).\nAnswer: 441*d - 1071","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 266622 + -a?\nAnswer: 266615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*r**2 + 60*r - 8*r - 89*r**2 + 9*r - 2 wrt r.\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -1522.\nAnswer: 2130.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - u**2 + (-u + 3 - 3)*(-u + 2*u + 6*u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 480\/120*(-10)\/6140\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-10)\/3)*(-1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - 6*-1*sqrt(3) - (-3 + 1 + sqrt(3)))*-6)**2.\nAnswer: 864*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -20*g + 113. What is the second derivative of 30*o - 83*o**4 - g*o + 53*o - 9*o wrt o?\nAnswer: -996*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8639988 divided by -617142?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19404 - 19408. Which is the second smallest value? (a) k (b) 11\/4 (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64347598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1910903 divided by -6.\nAnswer: -1910903\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p + 7. Let v = 58 - 34. Let x = 29 - v. Suppose x = -0*q - q. Determine t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(18\/(-15))*56. Suppose 4*v - s = -2*g, -2*v - g + 181 = 3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - 1.9. Let f = 191\/130 + 2\/65. Let z = 7\/3 + -19\/12. What is the nearest to 0.1 in f, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - (-186)\/10)*610\/4. Suppose -3*b + 1604 = -j. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80598 - -483589\/6. Solve -2\/3*g**4 + 5\/3*g**2 + r*g**5 + 0*g**3 - 1 - 1\/6*g = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*b - 1767 = 2213 - 144 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + (-13)\/((-78)\/1874358). Round y to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - -3. Let u = 21 - 111. Let x = u + 89.6. What is the nearest to 2\/3 in x, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -9483545014.\nAnswer: -9483545014.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/128 - 159300\/1728000\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 271, 240, -2, 0 in decreasing order.\nAnswer: 271, 240, 18, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7366*f**2 + 2*f + 3. Let u be l(-2). Suppose -3*z + 2*d + u = 3*d, 4*z + 3*d = 39284. Suppose -3*g - 4*a = -7389, -3*g = g - 5*a - z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 + -126.3. Let g = w + -9.4. Round g to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 - 4*x - 3. Let u be c(-2). Suppose u*w + 6 = 1. Let v = 4 + w. Calculate the highest common divisor of v and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54774 + 95655. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -34.00000047. Round u to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 5\/(-2))*-2. Suppose 0 = 3*z + 2*k + 6, 4*z - k = -0*z - 19. Let g = f - z. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1550 = -5*l - 3*j, 2*l - 2*j + 1545 = 7*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56460 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 + 42 + 4*u - 24 + 24*u - 488*u**3 - 10 wrt u?\nAnswer: -2928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3864374.89808 - -436.\nAnswer: 3864810.89808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 2808, 6805, 12398, 19587, 28372?\nAnswer: 38753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 5*s + f, -5*f = 7*s - 3*s - 212. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12240, -49119, -110600, -196677, -307344?\nAnswer: -442595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1021 (base 4) to base 3\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*6*-1. Let s = 26 - o. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*c + 20, 4*o + c = 3*c - 18. Sort 3, o, 1 in ascending order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -813.43679 rounded to the nearest integer?\nAnswer: -813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2410 - -6221. List the prime factors of c.\nAnswer: 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2173, -0.1, 2?\nAnswer: -2173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 11. Let p be c(-6). Let s be 1\/4 - 60\/(-16). Suppose 3*w - p*h + 2*h = 6, -s*w - h = -13. Solve 2*v - 5*v + 9 = w*i, 0 = -3*i - 4*v + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from dowwdddddddwddow.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 3375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 11884*h**2 + 83360*h - 71472.\nAnswer: -4*(h - 6)*(h - 1)*(h + 2978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 19*g. Suppose -2*b = -1 - 1. Let j be x(b). Let p be j*112*(-15000)\/(-28). What is p rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12726*n + 190890. Calculate l(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*l = -l - 11, -3*p - 14 = l. Let a(h) = -3*h**2 + 12*h + 6. Let d(z) = 4*z**2 - 18*z - 9. Let i(x) = -7*a(x) - 5*d(x). Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 7. Let y(d) = 44*d + 56. Let g(f) = 106*f + 136. Let t(q) = 5*g(q) - 12*y(q). Calculate 6*c(r) + 5*t(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40013 (base 5) to base 16\nAnswer: 9cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 114\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247524696 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + z - 4*z**2)*(69*z - 149*z + 79*z - 338) to r*z**2 + y*z**3 + o*z + n and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 9*n - 7. Let x be q(-10). Let r be (-3)\/(-2*x\/(-6)). Is 31\/((-3)\/r*1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 11. Let r be n(-5). Is (r + 7)*78\/4 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*w - g, -324*g = 4*w - 326*g - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147.\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2371.053+0.039\nAnswer: 2371.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 56*l**2 - 6*l - 21. Let w(v) = -113*v**2 + 13*v + 43. Let n(c) = 13*t(c) + 6*w(c). What is the derivative of n(j) wrt j?\nAnswer: 100*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6145 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -407. Let u = g - 189.0000194. Round u to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 21 = -4*u + 6*u, 0 = 2*u + 2*s + 14. Let r(m) = 2*m**2 + 3*m + 1. Let d be r(u). What is the nearest to 1\/3 in 0.2, 1\/8, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1720 + -3. List the prime factors of s.\nAnswer: 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let i = -46 + 46. Suppose i = -3*w - j + 3, 0*w + w - 2*j - 8 = 0. Put w, -2, z in descending order.\nAnswer: z, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -0.3, -2\/5, -52 in ascending order.\nAnswer: -52, -2\/5, -0.3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.1 (b) 0 (c) 0.057 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*t**3 + t**2 + 13997*t - 12581175.\nAnswer: -165*t**2 + 2*t + 13997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 8*u - 15 - 1)*(-3*u + 0*u + 5*u) to t*u + x + i*u**2 and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182565216.\nAnswer: 2, 3, 163, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191*w + 1191*w - 2375*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 + 265.6. Let q = 1 - 1.2. What is the third biggest value in -2, n, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 31*j**3 + 6*j**2 + 4*j + 2. Let k be s(-2). Find the common denominator of 29\/15 and k\/(-78)*(-26)\/(-65).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22\/7, 4\/11, 3, 1\/4, 4 in ascending order.\nAnswer: 0, 1\/4, 4\/11, 3, 22\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-3)\/27*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*d - 4*i + 4, -i - 1 = -3*d. Which is the closest to d? (a) -0.05 (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*m - 540*m = 3*v + 15, -2*v = -3*m + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 1, b: 1}. What is prob of picking 1 g, 1 b, and 1 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:26 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4359 + -775. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 28*u**2 + 7*u + 7. Let w(z) = z**3 + 3*z**2 + z - 4. Let t be w(0). Let v(i) = -14*i**2 - 4*i - 4. Determine t*j(h) - 7*v(h).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8262 and 3264?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:27 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b + 5 - 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21547193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 8. Let d = 31 + -24.4. Let j = s - d. Which is the nearest to 1\/4? (a) -1\/7 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 6*i**2 + 4*i + 3. Let b be u(5). Let k be 0 - -2 - (-5 - b). Suppose 3*w - 172 = 5*f, -k*f - 68 = -w + 6. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 + p**2 + p**2 - 3*p**3 - 1 - 2*p. Suppose -4*q - 2 = -14. Suppose -5*n - 31 = -4*a, 8*n = 10*n - q*a + 18. Determine j(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7006?\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -372316150*n**4 + 4*n**2 + 2855296*n - 3?\nAnswer: -8935587600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5527072.447 rounded to the nearest one thousand?\nAnswer: -5527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9339 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 11380, -2, -161?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55308, 55311, 55316, 55323?\nAnswer: 55332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -142. Let d be ((-6)\/(-1) - 3)\/(n\/12). Factor 17*q**2 - 12*q**2 + 40*q - 9*q**d.\nAnswer: -4*q*(q - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/4))**40)**(-21) assuming a is positive.\nAnswer: a**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 14 + 6. Let i(c) = c - 4. Let d be i(n). Suppose -d + 7 = 3*m. Solve 3*g - 5*p + 10 = -m*g, g + 8 = 4*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5\/13 + 12*q**4 + 1726*q**3\/13 + 3048*q**2\/13 - 4928*q\/13 = 0.\nAnswer: -7, -4, 0, 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 103*k + 1 - 636*k as p*k + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 54 = -45*x, 129 = b - 5*x + 121 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-3 + ((sqrt(68)\/sqrt(4) - sqrt(17))*-3 - sqrt(17)) + -5)**2*1.\nAnswer: 370*sqrt(17) + 23298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, -26, -118, -226, -356, -514, -706?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 70 + -80 - (-1 + -5) - (20 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*s - 11 = z, -37 = 5*z + 4*s. Let o(q) = -7*q + 5. Let i be o(z). Solve -5*k - r - 17 = -8*k, 5*k = 4*r + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwjjjjjjwjwwjjj. Give prob of sequence wjjj.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f - 80. Give u(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let g be (-42)\/(-8) - 4\/16. Let i(y) = 0 + 5 - g - 2*y**2. What is i(h(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28521 and 7098560?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2246 - -135. Let y = h + -1475. Let i = y - 67. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 74 = -18. Let x(q) = 2*q + 15 + q**2 - 11 - j. Calculate x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 6)*(-8813 + 819*f**4 + 8813) - 3*f**4 + f**4 - f**4.\nAnswer: 1635*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 - 667 - 2708 + 2*i - 444.\nAnswer: 2*i - 4035","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2456015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3 + 48636*q**2 + 6*q - 6961 wrt q?\nAnswer: 12*q + 97272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1252*o + 1. Let p(b) = b**2. What is p(j(l))?\nAnswer: 1567504*l**2 - 2504*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/1008 and 59\/192.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 2*w**2 - 8*w - 17. Let u(j) = 12*j**3 - 3*j**2 - 14*j - 33. Calculate 5*m(y) - 3*u(y).\nAnswer: -6*y**3 - y**2 + 2*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25048310\/107 or 234097?\nAnswer: 25048310\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 3673*m**4 + 22011*m**3 + 33007*m**2 + 14668*m = 0. What is m?\nAnswer: -3667, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 3\/2*q**6 + 0*q + 0*q**4 + 0*q**5 - 2 + 0*q**2 - 2*q**3. Find the third derivative of r(y) wrt y.\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + 5 - (-7 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3269, 2\/21, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 4*y**4 + 0 - 108*y**3 + 107*y**3 + 2*y + 2 in the form p + b*y**4 + j*y + i*y**3 + r*y**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/27, 2\/13, 0.2, -2\/5, 76, 3 in descending order.\nAnswer: 76, 3, 0.2, 2\/13, -2\/5, -11\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -100.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 1. Let g(t) = t - 2. Let k(u) = -6*u**3 + u - 1. Let h be k(1). Let z = h + 2. Give z*y(v) + 2*g(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -1.7321953.\nAnswer: -2.0321953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 37*b - 72 = 0. Let w(g) = -2*g + 16. Calculate the least common multiple of b and w(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2850204.\nAnswer: 2, 3, 7, 33931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*d**5*r**3 - 4*d**3*r - d**2*r**3 - 407*d**2*r wrt d.\nAnswer: -11220*d**2*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27506.62 millennia in centuries?\nAnswer: 275066.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w - 5*o = -81*w + 7, 5*o + 19 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 0) + -42 + (-448)\/(-32)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 187215166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, a: 3}. Give prob of picking 2 i.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*c = -16*c + 1447939. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/23901?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**2 - 49 + 2*g - 2*g - 41*g**3 - 12*g**2 wrt g.\nAnswer: -123*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2879 (b) -4 (c) 3\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 148 = 4*i - x, 0 = -3*x + 12. Calculate the lowest common multiple of (16\/4)\/(-4) + 15 and i.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-2 + 4 - sqrt(475))**2*-1*1.\nAnswer: -4291 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 2024\/43?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d\/(d\/(d*d**15)*d)))*d**(-17)*(d\/d**(4\/5))**(2\/43) assuming d is positive.\nAnswer: d**(-428\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -6*w - 197862. Is (128\/(-224))\/(3\/(w\/4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243.72 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 762363 (base 13) to base 2\nAnswer: 1010100101100101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 - 203. Put 2, c, -3, 25 in decreasing order.\nAnswer: 25, c, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1588.637us?\nAnswer: 0.001588637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2666874 by 1974.\nAnswer: -1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 236775 divided by 25\nAnswer: 9471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + h + 27*o - 51 = -127, -3*h = 9*o - 12*o - 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2341*q - 31596*q**2 + 31597*q**2 + 1397*q + 9350*q.\nAnswer: q**2 + 13088*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddvdddddkdvdakd. Give prob of picking 1 a and 1 d.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6 - ((1 - -2) + 6)) + 5 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28444 and 4836.\nAnswer: 2645292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -38. What is the third derivative of 5*c**4 - 42*c + 2*c**2 + 4*c**4 + l*c wrt c?\nAnswer: 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j - 13. Give l(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1678, 1689, 1712, 1753, 1818?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5 + 444*g**4 + 5503*g**3 - 14094*g**2 - 19152*g = 0. Calculate g.\nAnswer: -14, -1, 0, 3, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46*(-4)\/(-24)*3. Find the third derivative of 0*f**4 - 2*f**4 + n*f**3 - 23*f**3 + f**2 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16841*h**2 + 3*h + 940 with respect to h.\nAnswer: 33682*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.1664s in microseconds?\nAnswer: 466166400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -118\/63709?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 19*k - 92. What is n(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 21*a - 80. Suppose -4*k = -5*v + 33, -2*k + 1371 - 1360 = 3*v. What is d(v)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 2) + -3 + (-1 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59.18939 weeks?\nAnswer: 9943.81752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 8*i + 7. Let t = 43 - 38. Give h(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850494559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2726535 divided by -4.\nAnswer: 2726535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**8\/420 + a**6\/120 - a**3\/3 - 6*a**2. Let u(t) be the first derivative of o(t). Find the third derivative of u(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.9891063+0.025\nAnswer: 7.0141063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 22 = 13*m - 22 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-168)\/1)\/(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 1. Let s be n(-3). Let m be 0 - s*21\/6. Suppose i - 38 = -3*i - 2*o, m = 4*i + 5*o. What is the least common multiple of i and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*i - 42*i + 144. Suppose i*u - 4442 = -131. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2*4\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 77729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5355 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -183*a - 15568. What is l(-66)?\nAnswer: -3490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111892717\/3 > 37297573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 1, g: 1, c: 1, y: 1}. Give prob of sequence rygc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123258 - 5?\nAnswer: 123253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. Which is greater: -10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(2\/17)*d)\/d)\/d)**(1\/10)*(d\/(d*d\/((d*((d\/(d**(-1)*d)*d)\/d)\/d*d*d)\/d)))**(-4\/3) assuming d is positive.\nAnswer: d**(-337\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a + 48*a - 1285738 = -38239. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, s: 9}. Give prob of sequence ps.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 503*s**3 + 22*s**2 + 11*s + 11. Let t(i) = -251*i**3 - 12*i**2 - 6*i - 6. Determine -6*a(k) - 11*t(k).\nAnswer: -257*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdwotoostot. What is prob of picking 1 t and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-9)\/18*(0 - -1). Solve -2*o - 9 = -4*t - j*o, -2*t = 3*o - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + z**2)*(-4*z + 3*z + 2*z) + (-17*z + 3*z + 7*z)*(13*z - 13*z - 7*z**2).\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312108 is divided by 13468.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w - 11 + 22*w + 2*w**3 - 8*w - 3*w - w**2. Let y(d) = d**3 - d**2 - 1. Let l(z) = -2*u(z) + 6*y(z). Factor l(p).\nAnswer: 2*(p - 2)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -19.8. Which is the nearest to o? (a) 5\/4 (b) -0.2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-20 + (-1 + -5 - -13))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*(-29 - -29 - 14\/6). Calculate the highest common factor of 469 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -0*j - j. Let l = j + 269. Suppose 106 - l = -10*s. Calculate the lowest common multiple of s and 14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45138879.\nAnswer: 3, 5015431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880155.\nAnswer: 3, 5, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/9 + 158*v**4\/3 - 1928*v**3\/9.\nAnswer: 2*v**3*(v - 4)*(v + 241)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 436259 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.9 and -581.\nAnswer: -8075.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17140)\/(-18854))\/((-5)\/143).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-438)\/(-150) - 0).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253024 - 1224383128\/4839. Let x = o + -305129\/164526. Let k = -6\/17 - x. Is k less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (35 - 10) - -6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36088043 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91667656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let s(y) = 5*y + 2. Let t be s(-2). Let z be (-2)\/4*t\/(-10). Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -47. Let v = o + 17. Suppose -56 = -l + 5*m, 5*m + 360 = -l + v*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1029.5 - -1030. Let h = -3 + 2.9. What is the closest to h in x, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 50. What is the units digit of (1 - -3) + (n - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39297*g + 107041*g + 123872*g + 0*g**2 - 23685*g - 2*g**2.\nAnswer: -2*g**2 + 167931*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1 + 1 - 3 - n + 2. Let o(r) = 2. Suppose -4*i + 10 = i. Let k = -1 + i. What is k*o(s) - 2*f(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -25*z - 18. Let y be r(-1). Solve y*n - 2*n - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47\/5 - 21\/(-35). Suppose -x - 3 = -b. Suppose 2*z - a = 7, 1 = 4*z + 4*a - x. Solve -z*o = -5*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8108 or 8096?\nAnswer: 8108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3912\/486 + -4 - 4)*1401\/467\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 1. Suppose 0 = -y - u - 6, 3 = -8*u + 7*u. Is p\/(2 - 4)*(-269)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73947 < -73965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1609*h - 1609*h - 6976 + 6976 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -812 by 203.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.508836 and -55?\nAnswer: -302.98598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8092 - 2.29. What is s rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Let f(v) = v**2 + 2*v + 2*v**3 - w*v + 2*v**2. Let y(m) = m**3 + 2*m**2 - 2*m. Determine 2*f(r) - 3*y(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 210 = -10*o. Calculate the greatest common factor of o and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j**2 - 3*j - 3. Let l be f(-2). Suppose 0 = -4*m + 3*y + l, 0 = m + y - 2*y - 5. Suppose 5*s + 11 - 61 = 0. Solve -2*h + s = -m*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.857 times 7467?\nAnswer: -96003.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -58*c**4 - 4*c**3 + 406*c**2 - 320*c - 24 = 0.\nAnswer: -3, -2\/29, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2*((-52)\/24)\/13)\/((-70)\/3780)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(5) + 4 + sqrt(5))**2 + (sqrt(30)\/sqrt(6) + sqrt(5))**2 + 3 + 2 + ((sqrt(5) - (sqrt(500) + 1)) + 4*sqrt(80))**2.\nAnswer: 34*sqrt(5) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8506 to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j. Let n be f(-5). Suppose -5*k = -y + 40, -5*y - 5*k + 50 = -0*y. Suppose y = 5*u - n. What is the smallest common multiple of u and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/100*-5*4\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-834 + (4 - 4)). Suppose -114 = -5*x + d + 715, -3*d = -5*x + p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-9)*-25*(-105)\/1750\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 10. Let g be a\/(-6)*62 + -1. What is the remainder when 26 is divided by (-2 - 3)*(-42)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-1*-1 - -3*-1*sqrt(130))\/(sqrt(1440) - ((-6*(sqrt(1440) - (2*sqrt(1440) + sqrt(1440))) - sqrt(1440)) + sqrt(1440))) + -5)**2*-3.\nAnswer: -108913\/1452 + 5*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0, -1\/5, -3, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3\/2))\/(y*(y**(1\/9)\/y)\/y) assuming y is positive.\nAnswer: y**(7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 3*i - 2*i - 13*i**2 + 25*i**2 - 5*i.\nAnswer: 26*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 24. Let m be (-2)\/2*d\/(-2). Suppose -5*t - 3*t + 400 = m. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0*q + 4*q)*((q**2 + 0 + 0)*(-3*q + 0*q - 2*q) + 8*q**3 + q**3 + 3*q**3).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 8 - (-6 - 3\/(-2)*-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -2\/21, 5.29?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9.32, -1\/2 in descending order.\nAnswer: 9.32, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 3. Let u be c(9). Let s(b) = 3*b + 68. Let n be s(u). Solve -2*r = n*m + 16, -2*m - 10 + 0 = 2*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161173*n**3 - 32*n**2 + n - 102306008?\nAnswer: -483519*n**2 - 64*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1275518, 1275512, 1275506, 1275500?\nAnswer: 1275494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 divided by -28?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -31, -66, -137, -256, -435, -686?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - x - 82310 + 41160 + 41150 - 14*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -98618117 to the nearest one hundred thousand.\nAnswer: -98600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2559548, -2559545, -2559542, -2559539?\n\"Answer: 3*y - 2559551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1305011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*(-6)\/(-99))\/((-9)\/81).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1443*5\/45 - 45\/(-27). What is the greatest common factor of 19926 and n?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 60.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 13. Let t be 6\/k + 180\/2. Suppose t = 5*c - c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 3411.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -929*i**2 - 4454*i + 961. Give j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3729 is divided by 745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fe - -1?\nAnswer: -3fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24705 - 24700. Which is the closest to 44? (a) -3 (b) -0.5 (c) -0.1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224918?\nAnswer: 2, 3, 17, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -280 + 450. Let c = b - 169.9864. What is c rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7501 (base 13) in base 7?\nAnswer: 65206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 119 in increasing order.\nAnswer: -4, 2, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p + 55*p = 96. Suppose -3*r + 6 = p. Let z(h) = -h**2 - 15*h + 1. Does 15 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from tizkkii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + 308. Let d = s - 69. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -6\/2311961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q + 13 + 10*q**2 - 2*q**3 + 6*q**3 - 3*q**3 - 22*q**2. Let r be u(11). Let w(b) = -3*b + 2*b + r*b - 4*b. Let j(h) = -4*h. What is w(j(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {y: 3, j: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 13147.24507 to zero decimal places.\nAnswer: 13147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 4*l**2 - 12*l**2 + 7*l**2)*(282*l - 323*l + 698*l) as i*l + g*l**2 + c + j*l**3 and give g.\nAnswer: 1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 minus 1.6317023443084?\nAnswer: -1.4117023443084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15754 is divided by 2018.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-195)\/999)\/(-2 - 7\/(-3)). Let m = 3\/37 - l. Which is the closest to 1\/3? (a) m (b) -8\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5 - 376*r**4 - 744*r**3 + 4*r**2 + 746*r + 372 = 0?\nAnswer: -186, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 2*n - 3. Suppose 0 = 2*s + 2*m - 8, -s + 4*m + m = 2. Let u be r(s). Let b = 61 + 23. What is the highest common divisor of u and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34141340 (base 5) to base 6\nAnswer: 10253252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 151. Let o = r + -70. Let h = 2 - 1.5. Which is the second biggest value? (a) o (b) 3\/8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -372*q**2 + 240.\nAnswer: -744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acatc. What is prob of sequence taa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14 + 14 + 4 - 36 + 2. Let q(i) = -i + 4. Suppose d = -2*d + 6. Suppose 3*j - 3 = d*j. Give j*q(p) + 7*g(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l - 39. Suppose -2*u - 14 = -w - 0*w, -u + l = 3*w. Calculate the remainder when 45 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 338809.2l?\nAnswer: 338809200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*u = -3*u - 122, -304 = -5*w + 3*u. Let g = w - 56. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(5 + 0) - 576\/16. Put -5, f, 15, -2 in increasing order.\nAnswer: f, -5, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(612) + -5 + -2*sqrt(612) + sqrt(612) + -4 + -2 + sqrt(612) + 4 + sqrt(612) + 1)**2.\nAnswer: -168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -8 - (-17 - -9)) + -46?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(-21\/2) assuming h is positive.\nAnswer: h**(147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 8*t**2 - 2*t - 19. What is k(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186983331?\nAnswer: 3, 59, 163, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1248 (b) -9 (c) -1 (d) -49.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 76. Suppose 11*a - 1012 - 1276 = b. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3. Let u = -348 + 349. Let t(c) = c**3 - c**2 + 3*c - 1. Let i be t(u). Let w(y) = y - 1. What is i*w(v) + p(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 2.5. Suppose 5*m - 66 = -51. Which is the smallest value? (a) -2\/3 (b) m (c) w (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*v**2 + 65*v - 2 wrt v?\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 28 = -4. Let a = l - -18. Solve 4*w + 0*w - 6 = g, a*g = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 + 16*z**2 - 16*z**2.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 414*i**3 + 14283*i**2 = 0. What is i?\nAnswer: 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 3:54 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5482*(12 - 11) + (0 - 8)?\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 20654*v**2. Let m(r) = 41930*r. Give m(z(l)).\nAnswer: 866022220*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 5 - (5 - -1)) + (20 + -21 - -21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5747969\/2 or 2873985?\nAnswer: 5747969\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46137*u**4 + 181*u**2 - 26749409*u wrt u.\nAnswer: 553644*u**2 + 362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -35*k**2 - 33*k**2 + 2*k**3 + 71*k**2. Give t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469733, -469725, -469717, -469709, -469701?\nAnswer: -469693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1401809*q - 5348747*q + 1372833*q.\nAnswer: -5377723*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818043?\nAnswer: 3, 41, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - (6 - -3))*-2*12. Calculate the highest common divisor of c and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0 (c) -6 (d) 3\/1663 (e) 1 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 6*p + 5. Let z be h(4). Let q(b) = -b**2 - b + 4. Let v be q(z). Let u(d) = -d - 2*d - 3*d + 2 + 5*d. Determine u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 887.\nAnswer: 8870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -1 (c) 2\/7 (d) 2.41 (e) 0.5 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1683367.282 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 677, 2747, 6189, 10997, 17165, 24687, 33557?\n\"Answer: -z**3 + 692*z**2 + z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -627 + 1144?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 10*f - 11. Let m be i(8). Suppose 1 = -m*k + 6. Suppose 0 = z + 6 - k. Let p(n) = -n + 2. What is p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.33 - 0.83. Let w = -3.01 + 0.01. What is the closest to 0.3 in w, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 11 - 8 = 0, 15*t = 2*w + 7. Put -1\/4, -0.8, -0.3, -0.4, w in decreasing order.\nAnswer: -1\/4, -0.3, -0.4, -0.8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(1300) + 5) + (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + -2)))*1)**2.\nAnswer: -5376 - 768*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 2*x. Let j(i) = -4*i**3 - 34*i**2 + 32*i + 252. Let z(r) = -2*d(r) - j(r). Factor z(u).\nAnswer: 4*(u - 3)*(u + 3)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-4 - 4)*0)\/(-2). Let u = -5.2 + 5. Which is the nearest to i? (a) u (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 885? (a) 0.3 (b) -3.9 (c) -1\/9 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 19. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -3, 0, -10 in ascending order.\nAnswer: -10, -3, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + z + 35 = 0, -4*f + 60 = -4*z - 0*z. Let s(o) = o**3 - 10*o**2 - o + 4. What is s(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -22332313301213?\nAnswer: 22332313301223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.44 + 83.74. Which is the closest to 0.1? (a) -4 (b) y (c) -50\/11 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8665*c - 70. Let q be p(-4). Let w(j) = -34590*j + q*j + 7*j**2. Let d(f) = 18*f**2. What is d(w(a))?\nAnswer: 882*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 55*r**3 - r**2 - 3*r + 2. Let u be w(1). Let z = u - 48. Solve -c = -z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-7)\/189*129.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3230 by 1.\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 695 = -1374 - 1609 + 2740 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99\/35935 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 333, 753, 1173, 1593?\n\"Answer: 420*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173097 and 44537217?\nAnswer: 6411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -0.01, 3.13 in decreasing order.\nAnswer: 3.13, -0.01, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.108022365 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s - 45*s - 41 = 55 - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - 8\/3. Let z(k) = -4*k - 3. Let q(v) = -10*v - 4. Let i(l) = 11*l + 4. Let x(d) = -5*i(d) - 6*q(d). Let o = -6 + 4. Determine o*x(h) + p*z(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/7)\/(b**(-5\/4)*b)*(b\/((b\/b**(-4\/5))\/b))\/(b*b*b**(-1)) assuming b is positive.\nAnswer: b**(-117\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-19))\/o*o*o)\/o)\/o**(-8) assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1455, -2900, -4353, -5814?\nAnswer: -7283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0513 * -0.4.\nAnswer: -0.02052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 23 - 37. Solve 0*q + 4*a = -2*q - x, -a = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 15.99999991. What is l rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14690 to the nearest one hundred.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3857*n - 27726 - 12993 + 13720 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v - 0*v. Let z(f) = f**3 + 19*f**2 + 37*f + 53. Let r be z(-17). Suppose 0 = r*u - v*u + 126. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1 + 3 + -8). Suppose u*p - 13 = -5*m - 58, -4*p = 3*m + 33. Let v(f) = -f**2 - 7*f + 3. Give v(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2062, -2080, -2098, -2116?\n\"Answer: -18*g - 2044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344*v**6 - 791*v**2?\nAnswer: -41280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (40\/30)\/((-53)\/54 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3359 - 1706 = 127*y - 2411 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3229 by -5.\nAnswer: 3229\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {j: 1, q: 3, e: 2, x: 1, b: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b + 27*b + 885 = -15*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (0 - -9) + (3 - 21) + 4 - -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72 and -1252650.\nAnswer: -1252578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q\/q**(-2))\/q)*q)\/(q\/q**(-1\/2)))\/(q**12)**(1\/25))**25 assuming q is positive.\nAnswer: q**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 290*j - 177. Let h be 3*(616\/24)\/7. Is l(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19398 + -116387\/6. Suppose -10 - 32 = s. Let z be 2\/(-7) + 30\/s. What is the third biggest value in y, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32*m**3 - m + 1. Give a(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220002022 + 200101?\nAnswer: -212101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -29*w + 1202. Give d(45).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220492787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44922, -179728, -404398, -718926, -1123306, -1617532, -2201598, -2875498?\nAnswer: -3639226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghxhhgxxhg. Give prob of sequence ghh.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -98.9. Let f(y) = -2*y**3 + 3. Let z be f(0). Which is the closest to g? (a) -13 (b) z (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15923 - 64055\/4. Let a = k + 92. Sort -4, 4\/5, a.\nAnswer: -4, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*m - 71 + 61, -5*f + 30 = 0. Let 0*c - m*c**2 + 0 + 4\/3*c**3 = 0. What is c?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - x + 2, 6*r - 4*x + 2*x = -2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 322 - 143. List the prime factors of z.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 9*w**2 + 38*w + 163. Let y be d(-7). Let k = 11.5 + -7.5. Which is the nearest to -0.1? (a) k (b) -1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115064643 + 4.\nAnswer: -115064639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1*-2 - (sqrt(272) + -5).\nAnswer: -6*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.99 - -1.29. What is the nearest to 0.1 in -4, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10201212221 + 2200?\nAnswer: 10201222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/675)\/((-1)\/(-6))*-15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/10)\/((-6)\/(-45)). Let o(b) = 89*b**2 + 3*b - 9. What is the units digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2536 and 306344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2928.0011731 - 2928. What is m rounded to 5 decimal places?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 3*l**2 - 5*l**2 + (-2*l**2 + 0 + 0)*(-2 + 1 - 1)*(-3 + 1 + 1)*(0 + 3 - 1) as k*l**2 + z + o*l and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n**(-2))**16*(n**6\/n*n**(-5))**(-7\/6) assuming n is positive.\nAnswer: n**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 6*n + 3. Let r be (-4)\/((-4)\/(-3)) + 8. What is the smallest common multiple of (-14)\/(-3)*(-6)\/(-2) and f(r)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 9*u + 8. Let a be b(-5). Suppose 0 = -35*z + a*z - 7590. Round z to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 31*x + 10. Let j(a) = 16*a + 5. Determine -5*j(t) + 2*q(t).\nAnswer: -18*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -5, -17, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 15\/(-7) + (-14976)\/(-2912).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13830*c - 41490*c + 13827*c + 13830*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50439461515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9752344 hours?\nAnswer: 3510843840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26db + 1a5?\nAnswer: 2891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**4 - s**3 - 11*s**2 - 8*s + 3. Let l(k) = k**4 + k**3 + k**2 + 1. Let h(m) = a(m) - 3*l(m). Find r, given that h(r) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 17*n + 21. Let g be t(14). Let j = g + -61. Solve 10 = 3*w + j*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -877\/3476 + 2\/869. Sort 2\/11, c, 23 in decreasing order.\nAnswer: 23, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2. Let x(z) = 29149*z - 2. Determine x(s(k)).\nAnswer: -58298*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -223*l + 1106. Give c(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**3 + 6. Let x(h) be the first derivative of -15*h**4 - 35*h + 546. Determine -35*b(f) - 6*x(f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/2 - 49*v**3 - 67*v**2\/2 + 1455*v = 0?\nAnswer: -97, -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -t - 6*s + 5*s, 0 = 2*t - 5*s - 116. What is the third derivative of 66*g**2 + t*g**3 + 14*g**2 + 16*g**2 wrt g?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkfkkk. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 0, 0 + 8 = 4*o + 3*n. Solve 0 = -3*d + 12, 5*d - 16 = -o*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5 + -1)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/6 and 3 - (-804)\/(-246) - 0?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 739*k + 48 - 1549*k + 824*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 - 0.9. Let h be (-4)\/24*(-4)\/(-2). Let q = -8 - -3. What is the nearest to 2\/7 in w, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1280034203.07 and 31.1.\nAnswer: -1280034171.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(2\/(4 + -10)). Let o = i - 8. Is o <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 5. Let d be g(5). Let c(o) be the first derivative of -2\/3*o**3 - 1 + 2*o + d*o**2. What is the first derivative of c(x) wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**8\/56 + 2*y**7\/21 - 4*y**4\/3 + 2*y**3\/3 - 2*y + 12. What is the third derivative of g(r) wrt r?\nAnswer: -120*r**3 + 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21815 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -478?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 778357 divided by -3\nAnswer: -778357\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 + 4 = 0. Let f(q) = -8*q**3 + 4 + 803*q**2 - 1591*q**2 + 5*q + 793*q**2. Let c(j) = -9*j**3 + 6*j**2 + 6*j + 5. Calculate y*c(a) - 6*f(a).\nAnswer: 3*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -17 + -49 + 17 - 17.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.304? (a) -0.12 (b) 0.46 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 110\/(-15))*(-3 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117) - sqrt(117)*5) - sqrt(117))\/(sqrt(144)*-1 - sqrt(144)).\nAnswer: 17*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0 - 5*z**2 + 5\/8*z**4 + 3\/20*z**5 + 0*z - 5\/6*z**3. Is f(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*t + 7. Let j(o) = -4*o - 4. What is the units digit of j(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 7)\/(0 + -1). Let s be (-8)\/r*(-135)\/(-10). Is 492\/s + 4\/(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2120*x**2 - 17*x - 17. Is n(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-8)*(4 - 5). Suppose -4*q + 21 = 5*n + 2, 0 = 2*q + 2*n - 8. Suppose 2*v + 16 - 16 = 0. Which is the nearest to -1\/3? (a) q (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**2 + 103*l. Let g(x) = x. What is g(j(c))?\nAnswer: -14*c**2 + 103*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 7*u + 6. Calculate o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 7*b**5\/30 + b**4\/24 + b**3\/3 + 12*b**2 + 39. Let a(c) be the second derivative of y(c). What is the tens digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5086 + 5?\nAnswer: -5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(6)\/sqrt(2) - (-4 + sqrt(12)).\nAnswer: -6*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*l**2 + 2*l - 295*l**2 - 1 + 154*l**2.\nAnswer: 235*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3785858373.\nAnswer: 3, 11, 983, 116707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from kxkkkkmkpkmykkkx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164019 or 5\/196?\nAnswer: 164019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 28013600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let c be p(6). Let d(t) = -t**3 + 6*t**2 + t - 2. Let f be d(c). Solve 0 = -f*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 182 = -5*q. Which is the closest to 0? (a) -6 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x - 31. Give s(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-287910)\/8250 + -20 + (-6)\/33 + (-12)\/(-150)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850657477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 8, -3, -14 in increasing order.\nAnswer: -14, -11, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1973 - -0.1.\nAnswer: -0.0973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 674*q**2. Let d(i) = -384*i + 3. Give d(z(b)).\nAnswer: -258816*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*q**3 + 15*q**3 + 8*q**3 + 2*q**3 + 5*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 10*k - 14. Let s be g(-8). Let h be -2*s*(-9 + 8). List the prime factors of 1156\/16 + (-1)\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -44. Let n = m + -18. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 29 + 78018*z - 56.\nAnswer: 78018*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-175)\/45 + 1\/(-9). Let f be ((-4)\/(-1))\/i - -3. Suppose f*p = 15 - 9. Solve p*h - 2 = t, 4*t - 3*t = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = -d - 0*d, -4*d = -j - 2. Suppose -j = -q + 3. Let g(n) = n**2. Let b be g(-1). Solve 4*r - b = -q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*k**4 - 22*k**4 - 120*k**3 - 51*k**2 - 89*k + 83*k.\nAnswer: -3*k*(k + 2)*(4*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75*140\/3500*((-2)\/(-26))\/((-3)\/7).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/120 + p**5\/10 - p**4\/4 - p**3 + 233*p**2. What is k(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41147936089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4586805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*z + 23 = 5*p, z - 14 = -4*p. Let m(u) = -5*u + 442 - 218 - 222 - p*u**2 + u**3. Determine m(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**5*m))\/(m\/(m*m**(-2\/17)*m)))**(-35) assuming m is positive.\nAnswer: m**(2450\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + ((-8 - -4) + 1 - (0 - 6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 216*v + 865\/4.\nAnswer: -(v - 865)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -62.8, -0.4, -3\/67.\nAnswer: -62.8, -14, -0.4, -3\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 12:50 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*y**5 + 8*y**4 + 137*y**2 - 10*y wrt y.\nAnswer: -3240*y**2 + 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 5, w: 5, e: 1, k: 5}. Give prob of picking 1 e and 1 w.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. What is the smallest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**13*l)\/l*l)\/l)**3)**(-25) assuming l is positive.\nAnswer: l**(-975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06566 rounded to 3 dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**4\/54 + 130*q**3\/27 + 4225*q**2\/9 - 3*q + 24. Factor u(t).\nAnswer: 2*(t + 65)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 31*w**7\/42 + 44*w**3 + 213*w**2. Differentiate p(u) with respect to u.\nAnswer: 620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 6. Suppose 5*b = 1 + c. Solve b*r = -3*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150656809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132864 is divided by 151.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911407?\nAnswer: 83, 23029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/9)\/(-19 - 11216\/(-592)). What is the second biggest value in -1, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475969 and 287.\nAnswer: 3331783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -5*q. Let w(v) = v. Let u(b) = 6*b + 7. Let a be 2\/3*(-9)\/6. Let t(l) = a*u(l) + 5*w(l). Give t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, -4, -8, 3 in ascending order.\nAnswer: -8, -4, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:09 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/12 + f**3\/2 - f**2\/2 - 281*f. What is l(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 1. Let d be a(-1). Let z = d + 3. Suppose -2*i = f + 50990, -4*f + i - 204020 = -z*i. Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5*((sqrt(1053) - (sqrt(1053) + sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 1 + sqrt(1053))))*4)*-6 + 4*(-1 + -1*sqrt(1053))))**2 + -3).\nAnswer: -705600*sqrt(13) + 20717188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/13 + 2216*v**2\/13 + 22010*v\/13 + 54900\/13 = 0?\nAnswer: -1098, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) + 6\/21. Solve s = v - 4 - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -750603900 divided by 3?\nAnswer: -250201300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 p when three letters picked without replacement from {n: 1, o: 1, k: 1, q: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 217, 227, 239, 253?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 20 + 60 + 4*q to b + o*q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*n**3 - 130*n**2 + 900 - 900 - 143*n**3 wrt n.\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -216\/4963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 53. Suppose -4*g = -0*g. Is h(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + n**2 - 1 + 1 + 4*n**2 + (2 - 2 - n)*(-n + 0*n + 2*n) - 9*n**2 - 5*n**2 + 4*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*z + 269, -17*z + 114 = 2*t - 13*z. Calculate the greatest common factor of 583 and t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6064.7 - -6064. Which is the closest to 0.3? (a) -2\/7 (b) l (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23478, -51263, -79050, -106839, -134630, -162423, -190218?\nAnswer: -218015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7368152 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23\/(3\/(-2808)*3). Let a = m + 71817\/10. What is the common denominator of a and -83\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 127. Let n be j(24). Suppose 4*k + 4*b = 220, 6*b - b = 2*k - 117. Calculate the highest common factor of n and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3439089 to the power of 1\/2, to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h**(1\/2)\/h)\/h)\/h)**46\/(h*h**(-1)*h*h*h**(-6)) assuming h is positive.\nAnswer: h**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 71 = 3*v, 4*g + 4*v - 107 = -155 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/144 and -95\/738.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 431 and 185726951?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 41 = 15. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -27, -62, -117, -198, -311?\n\"Answer: -r**3 - r**2 - 11*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.2 + 22.3. What is the nearest to s in -3, 11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggb when four letters picked without replacement from {b: 2, g: 7, y: 2}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2. Let o(r) = -r**3 + 3*r**2 + 4*r. Let h be o(4). Suppose h = 3*t + t - 8. Let y(w) = 2*w**t + 2*w**2 - 5*w**2. What is x(y(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -77. Let h = 61 - 60. Calculate the common denominator of 29\/10 and ((-4)\/y - -2)*h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948099690.\nAnswer: 2, 5, 29, 31, 37, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1 - sqrt(272)*6 - ((sqrt(17) + -2 + sqrt(17))*3 + (sqrt(17) + 1)*3).\nAnswer: -36*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*a - 2795 = 82*a. Let b = 85525\/153 - a. Are b and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 >= 3185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14544 and 25452?\nAnswer: 101808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*y**2 + 86*y**2 - 51*y**2 + 2*y**3 + (-3*y - 2*y - y)*(-y**2 + 0*y**2 + 3 - 6) as d*y**2 + m*y**3 + n + a*y and give d.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1104316 + -234316. Round j to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-34)*198\/162*-18\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/3*(-855)\/304*-8. What is the greatest common factor of 4686 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**3 - 10*x**2 + 2138*x + 13*x**2 + 7*x**3 - 2138*x.\nAnswer: 22*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3649, -14386, -32263, -57280, -89437?\n\"Answer: -3570*q**2 - 27*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 417 = -3195. Suppose 0 = i - 2*i + 5, -2*f = 2*i - 26. What is the least common multiple of f and h?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99311185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/65 (b) 13.5 (c) -11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 34, 90, 170, 274, 402?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91842554113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 26. Suppose 2*j + 6 = g, -4*j + b*j + 4 = 0. Solve 0 = -2*a - g + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300222331 + 10?\nAnswer: -300222321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 smaller than 1297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icac when four letters picked without replacement from {a: 1, r: 2, u: 2, i: 1, s: 1, c: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + i + 1. Suppose -6*x = 7 - 31. Suppose -y = -s, -6*s - y + x = -5*s. What is t(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -12. Let d = u + 5. Let t = -3 + d. Which is greater: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2, -t + 10*p - 6*p = -10. Suppose 5 = -2*w - 4*m + 3, 2*m = -5*w + 11. Let d(i) = i**w - 8*i**2 + i - 2 + 0*i**3 + 5*i**2. Determine d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20. Sort p, 4, -15 in increasing order.\nAnswer: -15, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28988, -28983, -28978, -28973?\nAnswer: -28968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -7\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -x, 3*x - 5*f = x - 11. Let a be 2*(-1)\/x - 24\/3. List the prime factors of (6\/a*2)\/((-2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in -2\/91, 2, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -739 by 17321.\nAnswer: -739\/17321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 21 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*s + 197337*f + 1148666*s - 2 wrt f.\nAnswer: -s + 197337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 40. Let d = -25 - q. Let j(g) = -g**3 - 6*g**2 + g + 9. Let l be j(-6). Solve -l*o + d = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a - 3*a + a - 7*a + 5 - 5 + (3 + 2*a - 3)*(-1 + 2 - 2) - a + 3 - 3 + 0 + 0 + 2*a + 0 + 2*a + 0.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) -2\/17 (c) 1 (d) -1\/2 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + s**2 + 5. Let x = -1 - -1. Let y be z(x). Let l = -10780 + 10781. Solve 5*a - 2*i = 3*i - 5, 4*i = y*a + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -107, -159, -211, -263?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = -5*t, -3*i - 111 = -6*i - 3*t. Differentiate 28612*y - i - 47 - 28616*y + 9*y**2 with respect to y.\nAnswer: 18*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8023568 divided by 2005892.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 1 - 3*n - 3*n - n**2 + 40*n**3. Let c be v(1). Let h be (-8)\/c - 3901\/(-5). Round h to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 745 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 352 - -30?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3918125.\nAnswer: 5, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + 29 - 19 - 25) + -31.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/22 and ((-16)\/18372)\/((-696)\/3654).\nAnswer: 33682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.86378*0.1.\nAnswer: -0.186378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3607788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 2*q**3 - 10*q + 9*q + 3*q**3. Is 19 a factor of w(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 3.1, -7, -3, 1008?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64820 divided by -2315?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -31232 less than or equal to -31233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06346038383 rounded to 5 dps?\nAnswer: 0.06346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 93 - 149 = 0. Solve 3*t = 0, -w*f + 3*f + 3*t + 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 45*f**5 + 30*f**4 + 20*f**2 + 20*f + 20. Let t(m) = -m**5 - m**4 - m**2 - m - 1. Let n(q) = -g(q) - 20*t(q). Factor n(k).\nAnswer: -5*k**4*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 52540?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 19 (b) 5 (c) 1\/4 (d) 33 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 5*j**4 - 290*j. Let g(w) = 6*w**2. Calculate g(y(r)).\nAnswer: 21600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 119 + 353 = 16*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137464439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -841760, -841527, -841294, -841061, -840828, -840595?\n\"Answer: 233*z - 841993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -a8717?\nAnswer: a8719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) -0.4 (d) -5 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -536966?\nAnswer: -2\/268483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38696 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:23 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1451 - -10863. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12)*9)\/(2652\/(-3094)).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**4\/24 + 3*n**3 - 5*n**2. What is the units digit of m(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 + 3.8. Let a = u + 7.9. Let s(y) = y + 5. Let k be s(-4). What is the closest to k in -0.4, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 25.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqgfgqhfgqhygq. Give prob of sequence gg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 607845?\nAnswer: 607845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -359*q - 31. Let z be t(-5). Factor 259*y + 78*y - z*y**2 - y - 16.\nAnswer: -4*(21*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**7\/840 + v**6\/120 - 10*v**3\/3 + 5. Let x(f) be the third derivative of i(f). Factor x(t).\nAnswer: -t**2*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + g**3)*(4 + 2 - 4)*(2 + 5*g - 3*g + 1).\nAnswer: 4*g**4 + 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*s + 692 = 4*s, 3*t - 5*s - 1052 = 0. Suppose 0 = -3*l - t - 1330. What are the prime factors of l\/(-24) - (-2)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 25 = -r, 3*n + r + 4*r = 37. Suppose -4*v = 4 + n. Let u = v + 20. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 7*j + 9. Suppose 3 = -3*p, -x + 5*p = 2*x - 26. Let g be u(x). Calculate the highest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 271274220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b01721 (base 12) to base 9.\nAnswer: 36221407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 2*a + 1. Let o be k(-3). Solve -6*j = -10*j - 5*d - o, -4*j = -3*d + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -959 - -1029. Let n(k) = 69*k**2 - k + 1. Let g be n(1). Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 9 - 18 = 5*z, -3*z - 18 = -3*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*u**2*w**3 + 2*u**2 + 344*u + 13*w**4 wrt w?\nAnswer: 33*u**2*w**2 + 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, d: 2, e: 1, s: 4, n: 1, m: 2}. What is prob of picking 2 m and 2 s?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 2*s**2 - 3*s + 12. Let k be g(2). Solve k = 4*p + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2063868 and 2412?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from mmmmmmmmmmmaaaammm.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 11*p + j = -5, 0 = -2*p - j + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.4 + 4. Let d = 0.3 + a. Let q = -28.2 + 23.2. What is the closest to 0.1 in q, -5\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - v + 1821592 = 0, -13*q = -19*q - 5*v + 2185937. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2034*p**2 + 33*p + 943. Let z(w) = -2034*w**2 - 22*w - 946. Let f(i) = -2*j(i) - 3*z(i). What is the derivative of f(d) wrt d?\nAnswer: 4068*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or -5960\/239?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i - 7 = -5*c, 18 = 4*c + 3*i. Let p(g) = g**3 - 2*g**2 - 4*g. Let a be p(c). What is the tens digit of (6 - 0) + a - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*l**2 - 3*l**2 + 28385 - 28320 + l to b + o*l + g*l**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15 - 9) + (9 - 2). Solve -5*l - 9 = -2*m, -5*m + a - 6 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (76\/95)\/(-8*(-2)\/4080). Solve 180*k - p = 146*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(19) + 0 - sqrt(19)))**2 + -5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmmvvvsvm. What is prob of picking 1 v and 3 m?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(-2)\/6 + (-56)\/(-42). Let s(h) = h - 3. Let j be s(3). Let f = 1 - j. Sort 3\/2, c, f in ascending order.\nAnswer: c, f, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4272 and 178?\nAnswer: 4272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11547738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from vvvuuvuvvvuvvvvvvv?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300)*-2 + sqrt(300) - sqrt(300))*3)\/(-4*sqrt(150)))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*t = -c + 51 + 56, -5*c + t + 200 = 0 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 463751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + l + 0 + 1 - 1 - l + (2 + 3 - 3)*(l + 2 - 2) + (-1286*l + 453*l - 1106*l)*(0 + 2 + 0).\nAnswer: -3876*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*m = 766*m - 110 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*q - 30 = -180*q. Solve -2*x - q*o + 4 = 2, 3*x = -o - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 0. Let s = -1.96 + p. Let r = -56 + 166\/3. Which is the third biggest value? (a) -1\/5 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(1*(-1)\/4). Suppose 45*x = 40*x + 4*k + 205, -2*x - 2*k + 82 = 0. Which is smaller: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 8*o - 553. Give x(-21).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853 divided by -106528.\nAnswer: -853\/106528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 14. What is the units digit of p(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (21 - 65) + 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 11, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7 = -17. Suppose b*k = 2*k + 40. Calculate the remainder when 19 + 0 - (-8 + 9) is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135954 divided by 588\nAnswer: -3237\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + (-2 - 6 - -22 - -5) + -6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93749845 to four decimal places.\nAnswer: 0.9375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 5513?\nAnswer: -5510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, c: 2, x: 1, f: 1, l: 4}. What is prob of picking 2 c and 1 x?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(-3 + 2 + 2) + 12*f + 55 - 31 - 22.\nAnswer: 14*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 + 35*j - 33. Let i be h(1). Let d be (-249)\/6*16\/90. Let z = -38\/5 - d. Which is the nearest to 1\/4? (a) 0 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76114156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.448046s to hours.\nAnswer: 0.007902235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 20 - 11*v**2 + 29*v**2 + 12 - 28*v in the form n*v + l + q*v**2 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*g + 4 - 3)*(-1070 + 261*g**2 + 1072 - 26*g**2) to the form z + w*g + k*g**2 + c*g**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 65?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013725 to four dps.\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 196. Which is the nearest to 1? (a) -17 (b) -4 (c) 4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12474 and 74613?\nAnswer: 4029102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5445090940 to the power of 1\/3, to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 8*b**2 - 7*b - 19. Let t be h(8). Let f = -374\/5 - t. What is the closest to -1 in f, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 5*n - 3*q, -n + 0*n - 3*q = -25. Solve -31*p = -n*p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2807 and 3.\nAnswer: 8421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9) - 1958\/267)*(1 + 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4007945m?\nAnswer: 400794.5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 419*w**2 - 419*w - 3. Determine l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 29*c + 220. Is 6 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -9, -3.\nAnswer: -9, -8, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z - 7. Let r be p(-5). What is the lowest common multiple of (-4 - r)\/(2\/(-8)) and (1\/4 + 1)*8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (64\/(-6))\/4*-3. Let m(p) = 5*p - 4. Let l be m(-11). Let t = l + 67. Solve -t = -4*s + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 914040 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2*i**5\/15 + i**4 - 16*i**3\/9 - 2*i**2 + 6*i - 323. Determine o so that h(o) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1947 + -1909. Calculate the greatest common divisor of 437 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279.5 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 13*v**2 + 12*v. Suppose p - 43 = 4*o, -4*p - 65 = 5*o - 3*p. Calculate m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3\/13 - 1179518*o**2\/13 - 786348*o\/13.\nAnswer: 2*o*(o - 196587)*(3*o + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4043847 by 29.\nAnswer: 139443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15 - 2) + ((-6)\/2)\/1. Suppose 0 = -5*o - u + 11 + 39, 2*u = r. What is the first derivative of -1 - o*a - 1 - 14 wrt a?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.9, 5, -0.19, -2, 2\/9, 3447, 3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/((-20)\/300). What are the prime factors of (o + 3 - 3)*-97?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148792\/265 at least -560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1456 in 7, 1, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 225 = 9*m. Let k be 4\/(-30) + 96\/m. Suppose 4*s = k*s + 508. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {q: 7, a: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 7. Suppose m = 5*o - 51, 0 = -m - 16589*o + 16590*o - 7. Let x(a) be the first derivative of -2*a**2 - 13*a + 1. What is m*x(h) + 9*v(h)?\nAnswer: 2*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 11*p**2 + 97*p - 11. Let a be j(10). Solve -a = -z - 5*l - 69, -5*l = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:01 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 2*a**2 + a + 136. Let s be f(0). Suppose 9*k - s = 107. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/7250*(-1)\/(-21966). Let u = 393296424943\/87589425 + f. Let z = 4486 - u. Calculate the common denominator of z and -35\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1)*j\/j**(-9))\/(((j\/(j\/(((j**(-2\/39)*j)\/j)\/j)))\/j*j)\/(j**(-4)*j)))**(-22))**(-50) assuming j is positive.\nAnswer: j**(345400\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9261356*j*n**2 + 2*j*n + 2*j*p**2 + 2*j - 15*n**2*p**2 + 4228701*n*p**2 + 4*p**2 wrt n?\nAnswer: 18522712*j - 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221\/7 + -32. Let v = 2 - -3. Put v, 0.5, k in increasing order.\nAnswer: k, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3295 divided by -1\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 41\/((-164)\/8)*(-1 + 0). Solve 7*l - 6*l = -h*n - 10, 4*n + 6 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*r**3 + 675*r**3 + r**4 + 351485*r**2 - 352042*r**2 wrt r.\nAnswer: 24*r + 3936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 - 2*w - 6. Let f be d(-4). Suppose -f*k = -8 - 12. Suppose -4*i = -3*i - 4. What is the smallest common multiple of i and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 413 + -404. Suppose -h*j + 63 + 45 = 0. Solve -2*x - 1 + 5 = a, -3*a = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + q - 3*q = -133, -5*u + 207 = -4*q. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 5469.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*p**2 - 393*p + 50*p**3 + 49*p**2 + 207*p - 36*p**3 + 185*p.\nAnswer: 14*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 1916, 0 in descending order.\nAnswer: 1916, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, -7, -22, -39, -58, -79?\n\"Answer: -x**2 - 10*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(4 + -2). Let u be ((-28)\/(-35))\/((-5542)\/85). Which is greater: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 457*o**2 + 0 + o**3 - 13 - 440*o**2. Is p(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 5. What is the units digit of (0 - h)*8\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (6 - (1 + 1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -22*i + 6. Let r be d(-4). Suppose -3*z + r = v, -123 = -4*z - v + 2*v. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11415 and 2622406?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 30*p - 26. Let m(o) = -2*o**3 - 50*o**2 + 49*o - 49. Let g be m(-26). Determine d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -57*l - 8. Let o(i) = 58*i + 8. Let s(z) = -5*b(z) - 4*o(z). Suppose 3*w + 36 = -3*w. Let q be s(w). What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 - -2) + 1 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2001, 0.2, -0.3, 4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 57 = -5*o. Suppose l + 4*q = -18, -4*l + l + o = -5*q. Suppose l*n = -2*n - 460. Round n to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6))**(-3\/7)*(v*v\/(((((v\/(v\/(v\/(v*v**4\/v)*v)))\/v)\/v)\/v)\/v*v)*v)**(3\/5))**(10\/11) assuming v is positive.\nAnswer: v**(486\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/3 + 6*c**2 - 2*c - 9. Let x be m(12). Let d(v) = v**3 - 4*v - 3. What is d(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6 + x**2 - 10*x**2 + 14*x**6 - 6*x**2 wrt x?\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(1584)))**2 + 3.\nAnswer: 2592*sqrt(11) + 57351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 43\/7, 3, 8, -5 in decreasing order.\nAnswer: 8, 43\/7, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -13. Calculate the remainder when 5 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 715*a*q**2 - 2*a*q - 1990056*a - 1791*q**2 with respect to q.\nAnswer: 1430*a*q - 2*a - 3582*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 2, r: 1, k: 1, h: 2, v: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -66.2. Is 41 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + 14.05. Does x = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**9\/20160 - d**6\/144 + d**5\/15 - 4*d**2. Let q(l) be the third derivative of x(l). What is the derivative of q(y) wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -114. Let p = 9 - i. Calculate the least common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 12) + (-11 + 16 - -41).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 - (44 - (-12 + -20)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -485271, -485275, -485279, -485283, -485287?\n\"Answer: -4*v - 485267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 + x. Let y be j(-1). Suppose 0 = 5*r + y + 3. What is the remainder when 14 is divided by (1 + 3)\/((-1)\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + (sqrt(400) + 2*sqrt(400) + sqrt(400) - sqrt(4)))*-6)\/(sqrt(72) + -6*(sqrt(72) + -1*sqrt(72) + sqrt(72) + sqrt(72))).\nAnswer: 40*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -191*g + 1548. Let o be i(8). Solve 0 = -5*z - 4*l + 16 + o, -2*z + 2*l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 3*n - n**3 - 21*n**2 - 4 + 22*n**2 + 2*n as h + b*n**2 + j*n**3 + q*n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:09 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84.832 - 0.168. Let u = m - -55. Let a = -29.941 - u. Round a to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:25 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68) - (sqrt(68)*2 + sqrt(68))**2) + (1*sqrt(68))\/sqrt(4).\nAnswer: -612 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 769, 1537, 2303, 3067?\n\"Answer: -f**2 + 771*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 8. Suppose -45 = -5*k - 10. Suppose -k = -x - 1. Give p(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 - 268*l - 2272 = 0. What is l?\nAnswer: -8, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 17171*q**2 + 175*q + 340. List the prime factors of u(-2).\nAnswer: 2, 34337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65) + 4*(sqrt(65) + (1*sqrt(65) - sqrt(65)))))*-2)\/(5*(sqrt(5) - sqrt(240)\/sqrt(3))))**2.\nAnswer: 2548\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12281 + 4092 - 6*p + 4093 + 4096. Let l(a) = -168*a**2. What is z(l(r))?\nAnswer: 1008*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 12670 - 12652 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5867 - -7110. What is the least common multiple of 452 and y?\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = b + b + 8, 0 = 37*b - 24*g + 11*g + 148 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 7*a - 2*f, 20*a - 3*f = 3*a + 11*a + 18 + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002431777586 to six dps.\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/1809 and -115\/45981564?\nAnswer: 413834076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -71.346 - -0.04\nAnswer: -71.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20358 and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2552*f + f**3 + 4441*f - 1889*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 38*x - 29. Is f(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -67?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 100000?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -63.7. Let x = -4194.9 + 4195. Which is the smallest value? (a) x (b) z (c) -0.2 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 18 = 8*x. Is 45\/7 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*w = 0, -y + 27*w + 8 = 25*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 - -118. Let y = -137 + b. Let t = -91.77 - y. Round t to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1345291515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59233616 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 5*s**7\/14 - s**4\/6 + 19*s**3\/3 - 324*s. What is the third derivative of g(o) wrt o?\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -472 - -670. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9 = -1. Let z be (-112)\/27 + 8\/y. Let u = 5\/216 + z. What is the nearest to 1 in -3\/4, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 + 82. Suppose 5*q = 3*n - 1331, 4*q - b = -16. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -452*f**2 - 2 + 2 + 464*f**2. Let b(r) = -9*r**2. Calculate b(o(z)).\nAnswer: -1296*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -1\/236 (c) 8\/18475\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232453 = -186*b - 231337 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) 3\/2 (c) 6.9 (d) 1\/2 (e) -0.4 (f) -3\/5 (g) 7316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48.14 * 48\nAnswer: 2310.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -14131?\nAnswer: -14122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(-3 + 0 + 1 + (-4 - 3 + 5)*(18 - 8 + 27))*(-4*o**3 - 3*o**3 + 6*o**3).\nAnswer: 152*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmukummkmkku. Give prob of sequence mmu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/299*-52 + 8 + 2512\/(-152)\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -623000 to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.07 (c) 1 (d) 1.1 (e) 772 (f) -2\/13 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 140*a - 254 = 835 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/30 - y**4\/4 + 8*y**2. What is the second derivative of k(n) wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + r + 1. Let g be a(-1). Suppose 0*v = -4*v - 4*d + 16, 2*v - g*d + 8 = 0. Solve v*t - 5*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*k = -2 + 17, 4*s = -3*k + 9. Which is the biggest value? (a) 2 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2386566 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65400 and 319800?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + 1. Is 9 a factor of -81*c\/(-6)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2*3\/(-15). Let n = -6.9 - -6.849. Let p = n - -5.051. Sort w, p, 0.5 in decreasing order.\nAnswer: p, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/11 + 13\/26*-28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, s: 3, r: 12}. Give prob of sequence qqrq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by 72369.\nAnswer: -178\/72369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 11*r**2 + 4*r + 56. Suppose 0 = 3*u - 2 + 41. What is the hundreds digit of v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**3 - 41*u**2 + 10*u + 37. Give v(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624)\/((sqrt(144)\/sqrt(3))\/sqrt(4)))\/(((sqrt(32)*2)\/sqrt(8) - sqrt(4))*-6))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304 - 14*t**4 - 2*t**2 - 182 - 406 + 622 + t**3 - t + 30*t**5 wrt t?\nAnswer: 1800*t**2 - 336*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18305488 and 4780?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1544)\/2702)\/((-8)\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 1 + 5*a**2 - 2*a**2 - a**2 + 3*a. Let i(u) be the second derivative of u**3\/6 + 5*u**2\/2 - u. Let p be i(-3). Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - i = -1162, 3*v - 704 = -2*i - 2*i. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Factor 5*v**a + 0*v**3 + v**3 + 3*v + 6*v**2 - 3*v**3.\nAnswer: 3*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462 divided by 7.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r + 243. Let v(j) = -16*j - 485. Let u(b) = -3*v(b) - 5*x(b). What is the units digit of u(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 43 + 33 = -p, 5*p + 20 = -4*r. Let z(i) = -i**3 - 6*i**2 - 8*i - 6. Determine z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 71. What is the second biggest value in 20, -3, j, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:15 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10854 and 12663?\nAnswer: 75978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6 + 6. Let m be (30\/245)\/((-153)\/(-357)). Which is the third biggest value? (a) v (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = -3*v. Let t = v - 4. Solve t = -4*o - 2*g - 4, 2*o - g = 3*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(931) + 0 + 5)**2 - (0 + -1*sqrt(19) - (sqrt(152) + sqrt(152)*3)\/sqrt(8)).\nAnswer: 131*sqrt(19) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, z: 7, t: 3, g: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-12 - -15 - 11) + (14 - 29) + 16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.89740388 from 0.11462.\nAnswer: 1.01202388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 15, -2*x + 7 - 1 = 3*a. Suppose 0 = -a*s - d + 105, -s - 2*d + 4 + 24 = 0. What is the greatest common factor of 78 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55503034 and 1137.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 3*c**2 + 3*c. Let b be (4\/5)\/((-2)\/(-5)). Let l be z(b). Let n = 16 - 12. Is n less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {q: 1, y: 1, n: 2, v: 1, j: 1, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + s)*(14*s - 13*s - 58*s)*(4 - 1 - 4).\nAnswer: 114*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 - 17*a. Let j(s) = 2*s**3 - 2*s**2 - 42*s + 13343. Let o(f) = j(f) - 3*v(f). What is the derivative of o(z) wrt z?\nAnswer: -3*z**2 + 2*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136433147.\nAnswer: 136433147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*n - 0, -6 = -2*z + 2*n. Which is smaller: 3\/4 or z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**2 - 11. Let l(t) = 14*t**2 + 21. Let i(a) = -5*h(a) - 3*l(a). What is the first derivative of i(n) wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 9*q**2 - 5*q. Let z(t) = 2*t**3 + 22*t**2 - 12*t. Let x(n) = 12*a(n) - 5*z(n). Find the third derivative of x(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0*d - 6 + 0*d + 2*d + 0*d. Let k be n(5). Solve k*y - y = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/4)*v))\/v)**38*(v**(-1\/4)*v)**(9\/11) assuming v is positive.\nAnswer: v**(-1227\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-1224)*9\/(-4)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/10 - f**4\/3 - f**3\/2 + 7*f**2\/2 - 11*f. Let d be u(3). Factor -6*c**3 - 4*c**2 - 4*c**3 - 2*c**4 + d*c**3.\nAnswer: -2*c**2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5608789, -5608824, -5608859, -5608894, -5608929, -5608964?\n\"Answer: -35*z - 5608754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/40)\/(1*219\/584).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 83.21. Let y = 102.52 + -102.62. Let k be 2\/1*2\/(-20). Sort y, j, k in ascending order.\nAnswer: j, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14430, 28854, 43278, 57702?\n\"Answer: 14424*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Suppose k*l = x + 1000, -5*x + 475 + 525 = 2*l. Round l to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -112 + -5a4?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -68498 (base 11) in base 6?\nAnswer: -2042421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*n**4 + 744*n**3 + 6632*n**2 - 21824*n + 15488.\nAnswer: 2*(n + 22)**2*(3*n - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47560 and 1580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-325)\/(-10)*((-576)\/(-156))\/2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (69 + -55 + -7 - (-1 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in 1\/9, -11, 2\/7, 4, -66?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 14) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:29 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 + -4 - (-6 - 7) - 4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4357640 - 6?\nAnswer: 4357633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 425898.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -25*b**2 - 35*b. Let p(h) = -2*h**2 - 3*h. Let s(t) = -3*g(t) + 35*p(t). Let k(c) = -7*c**2 + 2*c**2 + 3*c**2. Calculate s(k(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*p - 37896644 = -42*p - 15*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 10 = 3*s, 21*v - 23*v - 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-27))\/(((-13)\/(-26))\/(4\/(-8)))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32750227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppqg. What is prob of picking 2 f, 1 p, and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-58)\/261)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -854*x**2 - 9374*x + 11. Calculate f(-11).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 320 = -56. Suppose 10 = 2*w + 4*x, w + 4*x - 4 = -3*w. What is the remainder when f is divided by ((-18)\/27)\/(w\/108)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 16*w**3 - 28*w**2 - 96*w - 54.\nAnswer: 2*(w - 3)*(w + 1)**2*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 4 (c) 3\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8853, -8807, -8761?\nAnswer: -8715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 52 = -4*j, 4*h - 6 = -j - 2. Let c be (-10)\/4*j\/15. Find the first derivative of c + 5 - 6 - 2*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o - 2. Let j(i) = -6*i**2 + 10*i - 18. Let q(g) = -5*c(g) + j(g). Let d(a) = 2*a**2. Determine d(q(u)).\nAnswer: 2*u**4 + 32*u**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 - 106. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9705481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -12*l**4\/7 + 398*l**3\/7 - 1494*l**2\/7 + 1282*l\/7 - 174\/7 = 0.\nAnswer: 1\/6, 1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.087 - -5.813. Let j = 5.8999982 - g. What is j rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42355 - 550?\nAnswer: 41405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535\/3636 - -16\/101. Find the common denominator of r and -11\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 247*i**2 + 2703*i - 104. Give q(-11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*l**2 + 42*l**2 - 905 - 338*l**2 - 205*l**2 wrt l.\nAnswer: -904*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5 - 11*t - 9*t - 11*t + 33*t. What is g(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 32 + 1 = 0. Let h be 1 + 0 - (-175)\/n. Let z = h + -293\/132. Calculate the common denominator of z and -13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*u + 4*a, 4 = 11*u - 10*u + 2*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1156270 times 56\nAnswer: -64751120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48 and -5.02?\nAnswer: 42.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 520, -72.05, 2\/13?\nAnswer: 520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(21)\/(sqrt(3) - sqrt(27)*-4)*-4 + (sqrt(28)\/sqrt(4) + sqrt(7) - sqrt(7)) + -3 + sqrt(28) + -4 + 4 + 2)**2.\nAnswer: -34976\/169 + 280*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 - 1518*b - 1521 = 0.\nAnswer: -1, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 73. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8327.98 + 8079. Let y = a + 251. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18764218*s - 37528069*s + 18763867*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*18.051833\nAnswer: 72.207332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525 + 1555 = 65*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*w**2\/7 - 615434*w\/7 + 136764\/7.\nAnswer: -2*(w + 34191)*(9*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*y**3 + 108*y**2 + y + 9157 wrt y?\nAnswer: 666*y + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417 - 477 = 20*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 14*u**5\/3 + 78*u**4 - 908*u**3\/3 + 296*u**2\/3 + 368*u - 320\/3 = 0.\nAnswer: -20, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**6\/120 - 2*s**5\/15 + 5*s**4\/12 + s**3\/2 + 2*s**2. Let k be b(-7). What is the units digit of k\/(-14) + 2\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/177012 and -21\/232?\nAnswer: 10266696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 4 + 4 - 6*q**3)*(-4 + 6 - 1).\nAnswer: -6*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -233*l**3\/6 - 4*l**2 + 78*l. What is the units digit of d(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5000211*k**4 + 426158334*k**3 - 1206894060*k**2 + 1123030504*k - 347099456 = 0. Calculate k.\nAnswer: -88, 158\/171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*w - 140*w - 25389 = -454*w + 145*w for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 9*h + 4. What are the prime factors of n(-11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -25\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -292. Let y = -2149\/6 - -356. Calculate the common denominator of y and ((-2)\/(-14))\/(6\/o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 5. Suppose 2*g + 2 = -2*w, 0 = 2*w - 7*w - 2*g + 7. Determine q(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + 55 - 5*j + 32*j + 11 to the form y*j + n and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3 + 5646*n**2 - 2627988*n - 26847480 = 0.\nAnswer: -10, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-136)*((-24)\/(-20))\/(-3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 5:56 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10289 is divided by 1469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 65. Give t(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*989.9\nAnswer: -1979.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*i - 29, -2*v + 28 = -5*i + 21. Solve -200*d + 194*d = v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 6*s + 5. Let u = -3 + 6. Suppose -19 = -u*i - 4*v, i - 5*i + 23 = 3*v. Let m = i + -9. Calculate p(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350\/11 + -351367\/11044. Is p at most -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -2161.\nAnswer: -2169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63750997.\nAnswer: 53, 1202849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0552 + 0.055147. Round l to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 8*a. Solve -3*g - 3 = a, -5*l + 3*g = 23 - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:55 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1462*p**2 - 4. Let u be f(-2). Let g = u - -9445. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 308, 323, 338, 353, 368, 383?\n\"Answer: 15*i + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6*-9)\/((-2280)\/76).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 89 + 559. Let o = 308 + x. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 9*w - 5*c + 45 = 0, 4*w = 4*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 minus 0.4?\nAnswer: 271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10933790 to the power of 1\/2, to the nearest integer?\nAnswer: 3307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -54. Suppose 7*v - j - 10 = 0. Solve -m**3 + m**2 - v*m + 2*m**2 - 8*m**2 = 0 for m.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 29\/4, -2\/7, -0.01 in descending order.\nAnswer: 29\/4, 1, -0.01, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 703, 3, 1, 2 in increasing order.\nAnswer: 1, 2, 3, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.57836ug to grams.\nAnswer: 0.00002257836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3068 - 1381008217\nAnswer: -1381008216.6932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 15. What is the derivative of -5 - 6 - 23*q**f - 2 + 18*q**3 wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 1314. Let w be (-10)\/(-25) - t\/(-5). Suppose 22*s + w = 26*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46360846 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: What is the highest common divisor of 1415724 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 30*j**2 - 38*j - 68. Let o be k(30). What are the prime factors of (o\/5)\/(5\/(-25))?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2535338374 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/239993 or 1?\nAnswer: -36\/239993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47675088 and 0.4.\nAnswer: 19070035.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 134603 at least as big as 134604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.3653 and -0.157?\nAnswer: -1.1563521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 + p + 5. Let h be f(-5). Let x = 13\/2 + -20\/3. Do h and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 - 159. Suppose -j*u + 322 = -112. What is the remainder when u is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/4))**(31\/2)*l*l**(-1)*l*l**(-9)\/l*l*(l\/(l**13\/l)*l*l*l**11*l)**(2\/135) assuming l is positive.\nAnswer: l**(1321\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 4544.\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 4*c + 25 = 27*b, -23*b - 2*c + 105 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r - 8*r + 978 = 12 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -14357618\nAnswer: 2\/7178809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87248417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r + 24. Let d be (-3)\/((6\/r)\/(-1)). Solve -5*z = d*k - 12, -2*z + 10 = -3*k - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - (6 + -14)) + -9 - 6) + 3 + 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 1, r: 1}. Give prob of picking 1 v and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.00446273?\nAnswer: -0.03123911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 39 + (-104 + -7 - -39).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 7:20 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 8*j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 6*q + (1 - 1 - q)*(-1 + 0 + 2) + 5*q - 2*q - 5*q)*(-70*q - 170*q + 14*q).\nAnswer: 226*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21794 + -21746. Calculate the smallest common multiple of s and 828.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h**(-2\/9)*h)\/h)\/h*h)**(-21\/5)*h**0\/h**(-2\/9))**(-16) assuming h is positive.\nAnswer: h**(5216\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.116? (a) 0.11 (b) 0.2 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20405, -19735, -19065?\n\"Answer: 670*g - 21075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, c: 2, k: 13}. What is prob of sequence tttt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1890\/(-2)*10\/(-15). What is z rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -278.02. Let o = l + -5.02. What is the second smallest value in o, 5.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from ddddddkddddkkddddddd?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*b**3 - 3*b**2 + 4 - 28*b**3 + 14*b**3 in the form s*b**3 + l*b**2 + x + n*b and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -5*u - 3*j + 899, -2*j = u - 184. Suppose 89*k - 8 = 93*k, -5*h + 5*k + 235 = 0. What is the remainder when u is divided by h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07487 in 2\/9, 3\/5, 5, -2\/19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -923 - -932. Suppose -h*r = -48 + 21. What is j in -16\/3*j + 0 + 2\/3*j**4 - 8\/3*j**2 + 4\/3*j**r = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.041 (b) -18 (c) -0.3 (d) 1.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 4) to base 10\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 374160 and 360?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 452470743 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p + 10 = 4*s + 49*p, -4 = -11*s + 4*p + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-244)\/(-28) - (-6)\/21. Suppose 7*r = 19 + y. Factor 6 + 3*w**r - w**4 + 10*w**2 - 4*w - 18*w**2 + 4*w**3.\nAnswer: 2*(w - 1)**2*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326\/3 - 2329\/24. Let d = 967\/133 + -16\/19. Find the common denominator of d and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248833 greater than 248501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -256, -285, -334, -403, -492?\n\"Answer: -10*y**2 + y - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + 40160\/(-12). Let k be f\/(-49) - (-2)\/(-7). What are the prime factors of k\/20 + (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 22*f**2 - 3*f + 76. Calculate the remainder when 408 is divided by v(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533.553 litres in millilitres?\nAnswer: 7533553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355 and 2.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30121621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/2*5\/(5\/108)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60030972 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*o, 5*z = o - 0*o - 35. Let f be (1 - -14)*(-26)\/z. What is f rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5\/6, 0 in decreasing order.\nAnswer: 3, 1, 0, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.8 from -195558423.\nAnswer: -195558431.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 1 - 4. Suppose -n + 5 = p, n - 18 = -5*p + m. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 0*g = 5544. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = 5*o - f + 2*f, -2*o - 3*f - 103 = 0. Let h = o + 279\/5. Which is the third smallest value? (a) h (b) 2 (c) 5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 1480*v**3 + 104990*v**2 + 670440*v + 1026045.\nAnswer: 5*(v - 151)**2*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = 21*n + 165 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-36))\/(3\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6778483821 to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -69. Let v = 58 + p. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -11*m - 51 + 27 - 108 - 40. Let o be j(-13). Sort 3\/8, 8, o.\nAnswer: o, 3\/8, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64116380 is divided by 816.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/42, 3, -1, -5 in increasing order.\nAnswer: -5, -1, 1\/42, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/30*9)\/(84\/(-70)). Let s = -2 - 1. Let v = -3 + 7. Which is the closest to 1? (a) v (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400 * -0.026462.\nAnswer: 10.5848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prpcccccurrcyucpct. What is prob of sequence cc?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410 by 6.\nAnswer: -205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 69. Suppose 0 = -2*u - u + 42. Calculate the remainder when x is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 0.06 (c) -7\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdd. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 v, and 1 u when three letters picked without replacement from rpuuuuqhvhuuuuq.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2749 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:00 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 72 + 18 = 0. Suppose -3*l + 48 = -0*l. Let m = -10 + l. What is the smallest common multiple of y and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 16 + 20 - (-12 + -17)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 91956564*i.\nAnswer: -3*i*(i - 30652188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from ogsnnggnccsgng.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 - 2*u - 4*u**2 - 3*u**2 - u**2 as z*u + d*u**2 + x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 3, k: 2, n: 1, y: 1, z: 4}. Give prob of picking 2 k and 1 y.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 4 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r + 71*r - 32760 = 0. Suppose -15*s + r = -6615. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1692? (a) 4 (b) 42\/13 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -806*g + 159029. Let a(n) = 39*n - 7573. Let w(m) = 104*a(m) + 5*l(m). Differentiate w(r) wrt r.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8420311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.17 + -21.24. Which is the nearest to -2\/7? (a) -10 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + r - 56 - 146.\nAnswer: r + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -43.6.\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*w**(-2\/5)\/w*w))\/w))**(-22\/9)*(w*w\/w**(-1\/4))**(-29) assuming w is positive.\nAnswer: w**(-12449\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/32 and 131\/492?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhllshhmhlmshhm. What is prob of picking 2 h and 2 s?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*6\/(-15))\/((-16)\/(-56)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 15816 + 7907 + 7909.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 23*c + 49. Calculate the remainder when s(14) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-36)*12\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 1, l: 1, o: 1, p: 1, z: 1}. Give prob of sequence pzx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 635161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -822\/5587 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156 + -20178958?\nAnswer: -20180114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 881. Let p be v(0). Let c = -3781 - p. What is c rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*6)\/(sqrt(648)*-1) - (3 + sqrt(72) + 3)**2*2.\nAnswer: -216 - 440*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-4))\/(38\/(-76)). Let a(r) = r**3 + 9*r**2 + 20*r + 3. Let l be a(n). Solve j - 3*g + 9 = -0*g, -4*g = l*j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r)**(4\/11)*r*r**(-3)*r**(-2\/9))**(-25) assuming r is positive.\nAnswer: r**(30400\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5088 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/441*156\/104*(-4)\/2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5556*j**3 - j + 2. Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/3)*o*o\/o**(1\/2))**(11\/3)*(o**4\/o**(-2))\/(o**1)**30 assuming o is positive.\nAnswer: o**(-421\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10919 + 12882. What is the remainder when a is divided by 489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164736 and 208?\nAnswer: 164736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i**(2\/45)\/i)\/i*i)))**(-17\/5) assuming i is positive.\nAnswer: i**(731\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 2 j when four letters picked without replacement from {m: 5, v: 7, j: 8}?\nAnswer: 196\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982*v**3 + v**2 + 494*v**3 + 491*v**3 + 0*v**2.\nAnswer: 3*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q + 1. Suppose -103*s + 1675 = -36*s. Let f(d) = 8*d - 15*d - 22 + s. Calculate 5*a(x) - 2*f(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0. Let z(n) = 140*n + 50244. Let i be z(-359). Which is the nearest to -2? (a) g (b) i (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116128*c**4 - 3*c**3 - 116105*c**4 + 8*c + 2*c**3)*(5 - 3 - 1) to the form r*c + s*c**3 + a*c**4 + w + h*c**2 and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.50761 + -82.07161. Let u = -82 - j. Round u to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 10713*r + 2365. Is d(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 157*k**3 - 6*k**2 + 3*k - 227841.\nAnswer: 471*k**2 - 12*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1620 divide 915675840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 3, v: 2, n: 1}. What is prob of sequence cmnv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 16696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 6*i + i)*(-4 + 3*i**2 + 4 + (7*i**2 - 17*i**2 + 9*i**2 + (-4 - i + 4)*(-1 + 2*i + 1))*(0 + 2 + 0)).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 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: List the prime factors of (-11 - -10)*(-204)\/3.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57547, -459021, -1548733, -3670801, -7169343, -12388477?\n\"Answer: -57353*r**3 - r**2 - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.15 and -0.13545.\nAnswer: 0.01455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 15642034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3424800795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*l + l - 20, -4*g + 10 = l. Let k(h) = -h**3 + 11*h**2 - h - 17. List the prime factors of k(l).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*k + 4, -5*k = -3*b + 53. Let w(a) = a**2 - 10*a - 4. Let h be w(b). Solve -5*s + h - 22 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 26\/39. Suppose 0 = 4*v + 3*p - 2117, 0 = v - g*p + p - 528. Let o = -286 + v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 12*v - 8*v + 6278, -4*g + 5*v = 5006. Let p = 2261 + g. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + i. Let h be t(-1). Let a = h - -9. Calculate the greatest common factor of a and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95532346 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*r - 3*y - 1, 5*y = -3*r + 36. Let l(g) = g**3 + 5*g**2. Calculate the least common multiple of r and l(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Find j such that i - j**2 + 0*j - 11 - 8*j - j**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h - 107*h + 25*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 13*x + 13. Let g = -101 + 106. Let s be o(g). Solve 5 = s*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 - 11 = -c, 0 = -3*o + 6. Calculate the remainder when 23 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -307\/6 - -51. Suppose 0 = -2*b + 2, -g - 4*b = -25 + 201. Let r = g - -1618\/9. What is the third smallest value in y, r, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(4))\/sqrt(8) + (sqrt(8) - sqrt(2)) + 0)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m = 110. Calculate the greatest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v + 102 - 102 to b*v + y and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557746 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s - 9*s + s**2)*(-80 + 137 - 91)*(-4*s + 4*s + s**3).\nAnswer: -34*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1280 + 1282. Let n = 14 + -10. Suppose -2*k = -x - n, t*k = -2*k - 4*x - 16. Solve k = q - 5*g + 1, 2*q - 5*g + 2 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 19, -4, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(6\/7380). Suppose 2*v + m = 7*v. Suppose p - 87 - v = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18141.3 * 0.2\nAnswer: -3628.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 3 = -8*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6431.\nAnswer: 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4\/4 - 23*f**3\/4 - 25*f**2\/4 - f\/4 + 3\/2 = 0.\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37219061179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*57\/(-19))\/(3\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let h = 1613 - 20987\/13. Calculate the common denominator of h and (-111)\/18 - (2 + k).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)\/u**(-3\/4)*(u**(-3))**(1\/35))**(-40) assuming u is positive.\nAnswer: u**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185\/3 + 61. What is the closest to j in -5, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2275*m**2 + 2*m + 2310*m**2 - 4585*m**2 + 2*m**3 + 562.\nAnswer: 2*m**3 + 2*m + 562","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -101, -185?\n\"Answer: -84*i + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 197*l**2 - 725*l - 719. Let r(k) = -2*k**3 - 99*k**2 - 363*k - 361. Let z(q) = 3*p(q) - 5*r(q). Factor z(n).\nAnswer: -2*(n + 2)**2*(n + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-22)\/g))**(-41)\/(g**23*g*g\/(g**27\/g)) assuming g is positive.\nAnswer: g**(-983)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 8*h + 8. Let l be w(-8). Let t be l\/(-44) - (-141899994)\/(-33). Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -149. Suppose q*b - 542 = 154. Solve 0 = 5*o - 14 + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0.21. Which is the nearest to v? (a) -6\/11 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 15*l - 10. Let f be m(7). Is ((-6)\/f)\/((-12)\/(-33498)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyvy when four letters picked without replacement from ayvvnvyvvyy.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1314247, -1314251, -1314255?\nAnswer: -1314259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 4. Let l(i) = 3*i**2 + 4*i - 4. Let j be l(-3). Suppose j*s - 14*s + 18 = 0. What is the greatest common factor of s and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:50 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47468, -94934, -142400, -189866, -237332?\n\"Answer: -47466*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g = 5. Let q be (2 - g)\/((-1)\/(-49)). Let f = q - 1. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - s - 194 = 0, -3*g - s = -2*g - 70. What is the smallest common multiple of 54 and g?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 229999*m**3\/6 + m**2 + m. Let v be z(2). Round v to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 31*l - 4 - 26*l.\nAnswer: 5*l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3205, -0.05, -5\/52.\nAnswer: -5\/52, -0.05, 0.3205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-12 + (-9 + 11 + -14 - -30))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1836 is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - 32 = -31 + 26. Let j(s) = -2*s**2 + 2*s + 1. Let a(v) = -v. Calculate b*j(k) - 3*a(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5848*a = -5845*a + 6*p + 9, -2*a = 5*p + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w**(-2\/13))\/(w**(-16)*w**(4\/5)) assuming w is positive.\nAnswer: w**(1043\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w - 13. Let q(y) = 35*y - 38. Suppose 0 = 18*o + 68 + 40. Let a = -32 + 49. Let v(p) = a*t(p) + o*q(p). Differentiate v(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -17, -4 in increasing order.\nAnswer: -17, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 4:12 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17703407 rounded to four dps?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/3412, 24\/7 in descending order.\nAnswer: 24\/7, -1\/3412, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2181 = 5*o - 3809. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 3*z + (-5 - 3 + 5)*(3*z - 5*z + 3*z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 104. What is the second smallest value in o, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3724*u**3*w**2 + 154700*u**3 - 17*u*w**3 wrt w?\nAnswer: -7448*u**3*w - 51*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148 or -43?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.82513 rounded to two decimal places?\nAnswer: -22.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 + 3. Let k be l(6). Solve -k*t - 1 = -4*a + 18, 0 = -2*a - t - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38160129 minus -485.6196?\nAnswer: 485.23799871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137025 rounded to the nearest 1000?\nAnswer: 137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, 32, 112, 244, 440, 712?\n\"Answer: 2*z**3 + 8*z**2 + 2*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 104 = -m + 3*m, -m = -q - 27. Let l be q\/75*-1*3. Sort 3, l, 10.\nAnswer: l, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349198109 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*8\/(-40)*4\/60?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 3*m - 12, -3*a + 19 = -4*m. Suppose 190 = 4*s + 3*r, -s + a*r = s - 82. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*k + 215 = 0, 5*t + 4*k + 174 = 494. Let a(q) = -6*q + 9. Let s be a(6). Let w = s + t. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*z + 3*z**4 - 34*z - 2*z + 2*z - z**4 + (-12 + 12 - 4*z**4)*(0 + 5 - 3) + (2*z**2 + z**4 - 2*z**2)*(3 + 2 - 4) + 0*z**4 + 2*z**4 - z**4.\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*r - 4*h + 12, -3*r = 5*h - 39. Put -3, r, 5 in increasing order.\nAnswer: -3, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0 = -4*s - 26, -5*f - s + 6 = 0. Suppose -13207671 = -f*i + 2461487. Let y = i - 13444579. Round y to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 11*z - 3*s - 6 = 0, -17 = 2*z + 5*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1237 divide 22433510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, 18, 2\/9 in decreasing order.\nAnswer: 18, 2\/9, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560175155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 7573*p**2\/2 - 6154828*p + 2869062994.\nAnswer: -(p - 5537)*(p - 1018)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*j)*(2 - 1 + 1)*(-5 - 3 + 5)*(2*j**2 - 4*j**2 + j**2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**3 + 71*w**2 + 2*w. Let q be m(10). Which is smaller: q or 121?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 4*v + 2*a, 3*a = v - 2*a - 70. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(3 + 245\/(-85))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 453*o**4 + 8325*o**3 - 111*o - 14323.\nAnswer: 5436*o**2 + 49950*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 22*c**2 + 6*c + 8. Let o(t) = 43*t**2 + 13*t + 17. Determine -6*o(m) + 13*v(m).\nAnswer: 28*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(-2*sqrt(75) + 5 + sqrt(75)))**2.\nAnswer: -1250*sqrt(3) + 2499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -63?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1737234 and 590004?\nAnswer: 31270212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8042, -32101, -72188, -128297, -200422, -288557, -392696?\nAnswer: -512833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8 and -17\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 21. Give c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-192)\/16*(-16)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 116*w + 2. Let j(f) = 1092*f + 1191*f - 2297*f. Calculate j(y(b)).\nAnswer: -1624*b - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3272325 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344372 (base 8) to base 6.\nAnswer: 2301334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34059 divided by -808\nAnswer: 34059\/808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*o**2 + 7100*o + 2500 = 0. Calculate o.\nAnswer: -50, -50\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 1050 = -609 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 11*z + 12*z - 1676, 0 = 2*x - 4*z - 3370. List the prime factors of x.\nAnswer: 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsbtbfffsfbfff. What is prob of picking 1 f and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -103*v - 242. Let c(l) = 51*l + 122. Let j(r) = -13*c(r) - 6*w(r). What is the derivative of j(b) wrt b?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 5. Let b be u(-4). Let s(q) = 38*q**3 - q**2 - 26*q + 26. Let g be s(1). Solve 4*y - b = -5*n, -y + 5*n - g = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6985939 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 2*g. Let s be 0 + 0 + (-2 - g). Let h be (-1)\/s + 18\/8. Solve -u = h*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*-2 + -3. Let i be (-2 - a - -1)\/(-1). Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50d + -7a?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*16\/(-992) + 63898\/1333\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 12288560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -31 (c) 2 (d) 3\/4 (e) 2\/5 (f) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15214, 15203, 15178, 15133, 15062?\nAnswer: 14959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4+86.97\nAnswer: 82.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6)\/sqrt(3))**2*-1 - -6*(sqrt(2)*1 + 5)**2.\nAnswer: 60*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343181 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1512 = 4*o. Let d = o + -111. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) -3\/5 (c) -1\/3 (d) -101 (e) 54 (f) 403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -38. Which is the biggest value? (a) 1 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 1757*l**4\/4 - 2299*l - 9823. Differentiate z(r) with respect to r.\nAnswer: 5271*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9659 - 9658. Sort l, -171, -5 in descending order.\nAnswer: l, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315, 1, -25.\nAnswer: -25, 1, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 7313587.\nAnswer: -5\/7313587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -15*x**4 + 702100*x**3 - 18711855*x**2 - 6783370*x + 12630600 = 0.\nAnswer: -1, 2\/3, 27, 46780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 433547207 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1127.69 + -1095. Let h = -33 + f. Is h at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*t - 4975 = 0, -6221 = 5*z - 4*t + t. Let r = 2157 + z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4467281268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 - -170. Calculate the lowest common multiple of n and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 times 2.1?\nAnswer: 0.1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 1900377528*m - 225714671807961924.\nAnswer: -4*(m + 237547191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 - 41*z - 3. What is t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 259954, 259955, 259956?\n\"Answer: m + 259953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 400597.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4 - 45*g**3 + 527*g**2 - 483*g = 0.\nAnswer: 0, 1, 21, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let p = 1 + z. Let l = 2 - 3. Which is the closest to 1? (a) 1 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1748 and 123671.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -119262788\/9 at most -13251421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 + -0.2. Let i = 0.4 - -1.6. Let p = -4 + i. What is the closest to y in p, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, 0, 0.5, -15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366844 is divided by 3641?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.9003301?\nAnswer: -0.9003301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 20 = 55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/10 - 167*q**3\/6 + 65*q**2 - 2*q + 1538. Differentiate g(k) with respect to k.\nAnswer: -6*k**2 - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m - 5. Let f(z) = 3*z + 4. Let g(s) = 5*f(s) + 4*l(s). Let h(r) = -4*r - 1. Let c be 30\/(-4)*(20\/25)\/1. Determine c*g(d) + 2*h(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 2, f: 1, g: 1, r: 2}. What is prob of sequence rgc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 a when three letters picked without replacement from {b: 1, g: 4, a: 1, d: 1, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 + 12735500*v - 38206536 = 0?\nAnswer: -3183878, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + (-1 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwttk. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -38. Suppose 0 = k*f - 4*o, -5*o = f + 2*f - 11. Solve 2*l - f = -0*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-12))\/(1274\/(-5460)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -2\/7?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15421120 (base 6) to base 16\nAnswer: -85968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 - 61*l - 64. Let k(q) = 5*q**2 - 125*q - 130. Let i(z) = 5*d(z) - 2*k(z). Let i(t) = 0. Calculate t.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167041*g**3 + 165921*g**3 - 331194*g**3.\nAnswer: 1768*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -61*u - 22. Calculate f(2).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j - 0. Let f be (j + 1 - 2)\/1. Solve -2*r = 5 - f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 5, -10*w + 26 = -15*w + 6*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + u + 1. Let q(v) be the second derivative of 0 + 1\/12*v**4 - 3*v + 0*v**2 + 0*v**3. Determine c(g) + 3*q(g).\nAnswer: 2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 6*k - 11. Let x be d(10). Suppose -4*t - 4*r - 3 = -3*t, x = 5*t - 2*r. Solve 0 = -c - t, 11 = 5*y - y + c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2286)\/72)\/(((-63)\/294)\/(42\/49))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 13*j**2 + 3*j + 32. Let g be t(11). Let s = 1641 - g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/52 - (-44712)\/(-736).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -334 and -0.3.\nAnswer: 100.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 58*d - 183. What is t(17)?\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -940, -54, -7.\nAnswer: -940, -54, -7, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 1647448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537467 is divided by 1133?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 10*n**2 + 10*n - 5. Let f be c(-11). Solve 5*p - 2*p + f = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 2:21 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*r = -3*p + 10, 5*p = r - 50. What is the units digit of (-2)\/(-4) + (-45)\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/(-10))\/((-30)\/(-100)). Suppose -8*k = -5*k - r. Suppose 0 = k*b + 4*n + 34 - 198, -n = -2*b + 79. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/27606 and -9\/184040.\nAnswer: 552120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 5672*t**2 - 2145024*t - 93571200.\nAnswer: -4*(t + 50)*(t + 684)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*s - 3*s. Suppose 26 = -2*u - p + 33, -u + 3*p = 14. Let j = 0.01 - 2.01. Put j, s, u, 0 in decreasing order.\nAnswer: s, u, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 26. Let j(z) = -2*z**2 - 951*z + 951*z. What is p(j(a))?\nAnswer: 2*a**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + f)*(-3*f**4 + 52 - 47 + 6*f**4) + 2*f**3 - 2*f**3 - 2*f**5.\nAnswer: f**5 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*k = -166*k + 4*p - 4, -p = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56109.3l to millilitres.\nAnswer: 56109300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -4, 797552 in decreasing order.\nAnswer: 797552, 53, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4041 + 10443?\nAnswer: 14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:12 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-1)\/25*(-840)\/(-672)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13831429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 1, n: 2, w: 1, y: 2}. Give prob of sequence yii.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let s(a) = -10866864*a**2. Calculate d(s(h)).\nAnswer: 21733728*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*k - k. Let d(y) = y**3 + 2*y**2. Let f be d(k). Solve f = -0*s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 67*n + 385. Determine q(20).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172622356.\nAnswer: 2, 293155589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*l - 130*l + 125 - 341 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985514 is divided by 576.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k. Let f(n) = -5*n - 5*n + 4*n + 5*n. Suppose 4*i = 39 - 15. What is i*j(p) + 22*f(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, h: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -706536 by -176634.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + k - k + (1 - 2*k - 1)*(2*k + 0 + 0) + 3*k**2 + k - k - 16*k**2 + k**2 - k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:02 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 45 = -v. Let m be -1*2\/2 + -8. Let a = m - v. Is 1\/3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*y)*(0 + 0 + 1) + 550*y + 331 - 331 + 7*y + 1 - 1 + (-2 + 3 + 1)*(-4*y - 3*y + 4*y) as z*y + j and give z.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.40981 - -0.41. What is f rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18235 + 33579. Find the first derivative of -j + 18*n + 218*n + 15284 wrt n.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 49*u - 32. Let j(s) = 6*s**2 - 96*s + 63. Let b(x) = -2*j(x) - 5*q(x). What is y in b(y) = 0?\nAnswer: 2\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7 + 17 - 111628*q - 12 - q**2.\nAnswer: -q**2 - 111628*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -34*a**2 + 4*a. Let r(k) = 24*k + 4. Determine r(z(x)).\nAnswer: -816*x**2 + 96*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x**1)**25 assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7380, 14765, 22152, 29541, 36932, 44325, 51720?\n\"Answer: m**2 + 7382*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 665733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Let m(s) = -a*s - 40 + 40 + 5*s. Let f(o) be the third derivative of -o**4\/24 + o**2. Calculate m(f(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 9. Let p be v(6). Let j(z) = 9*z + 4*z**2 - p*z. Let i(k) be the second derivative of k**3\/3 + 11*k. Give i(j(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 + 5*v. Suppose 8*p - 2*p + 30 = 0. Let q(r) = -7*r**2 + 6*r. Let l(n) = p*q(n) + 6*z(n). Let b(i) = -17*i**2. What is b(l(c))?\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154593 in 2, -0.3, 0.3, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 65276?\nAnswer: -65303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:40 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85.0319l?\nAnswer: 85031.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5402 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*c + 5, -3*c - 9 = -5*a + 1. Suppose -2*m + 356 = c*q, -3*m - 3*q + 652 = 118. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t - 2*t**2 + (t + 0*t + t)*(-6537 - 364*t + 24*t + 6539).\nAnswer: -682*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from mfefym?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 416 - 24. Suppose -5*s - 30 = -l, 4*l + 5*s = -24 + r. Calculate the highest common factor of l and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 smaller than -0.111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.21 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18 = -2*b, 4*b + 0*b = 2*j - 28. Let r = 7 + b. Find the second derivative of 1 + 7*n**2 - r - n**2 - 5*n wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*c**3*q*r**4 + 12*c**3 - q*r**2 - 2*q - 7 wrt r.\nAnswer: -1448*c**3*q*r**3 - 2*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*m + 16*m + 692 = 2051 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -67*-20582\nAnswer: 1378994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 17*l - 14. Let u be v(-16). Find z, given that -z + 0*z + 2 - 4 + 0 + z**u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1152762?\nAnswer: -1152762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -17\/5842, -4 in ascending order.\nAnswer: -4, -17\/5842, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 7*y**3 - 1 - 2 + 2*y**3 - 2*y**3 - 2*y**3 + (3*y**2 + 4*y**2 - 5*y**2)*(4*y - 3*y - 3*y).\nAnswer: -13*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1444 (base 5) to base 3.\nAnswer: -100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -938364, -1876681, -2814986, -3753273, -4691536, -5629769, -6567966, -7506121?\nAnswer: -8444228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4192 + 4369. Solve -m*w - 15 = -182*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001461 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1192, 1197, 1214, 1243, 1284, 1337?\n\"Answer: 6*p**2 - 13*p + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8865339 times -2?\nAnswer: -1.7730678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -516, -517, -518, -519?\n\"Answer: -y - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.134389736 to three dps.\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 2915523?\nAnswer: 17493138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -716*l - 294. Is 14 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718 = -3*m - 1867. Let c be 8\/12*(-2 - m). Is (1 - -2)\/(6\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-71)\/(-2) + (-2)\/(-4). Suppose i = 4*t + 12. Is t greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105439?\nAnswer: 97, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 13*j**2 - 18*j - 264. Let m be b(-13). Let c(t) = 6*t**2 + 10. Let w(d) = 1. Give m*w(k) + 3*c(k).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 118*m**2 + 6846*m + 203. Calculate n(-58).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l + 33 = 0. Let s = 12 + l. Does 3 divide (-2 - s - -8)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1800 and 109\/3396000.\nAnswer: 10188000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002824 to five dps.\nAnswer: 0.00282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1 + 3 + 5*p**2 + 9*p**2 - 7*p**2 + 6*p**3. Let k(s) = 6*s**3 + 8*s**2 + 6. Let h(q) = 4*k(q) - 6*m(q). Find the third derivative of h(j) wrt j.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8930390 and 2870.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 1, t: 1, j: 6, a: 4, b: 3}. What is prob of sequence azjb?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1780 - 7119\/4. Which is the second biggest value? (a) 100 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20956\/(-5148) + (-1892)\/(-387). Let x(l) = -6*l. Let c be x(1). Let f be (-2)\/(-8) - c\/8. Which is greater: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91.999979 + 92. What is j rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezdzzezdzdiezid. What is prob of sequence iz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = f - 8*f. Suppose -2*r = -2*u - f, 3*r - 60 - 130 = u. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxhxhxhxxhxhvvkkx. What is prob of sequence hhv?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 11*a - 105. Suppose 10 = -6*l + l, -2*s - l + a = 0. Suppose s*f + 42 = 52. Solve -2*k + f = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310141 (base 11) in base 5?\nAnswer: -111413320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2033779086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 18 in descending order.\nAnswer: 18, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 11*g**2 + 9*g - 10. Let n be m(-10). Solve n = -7*v - 35 + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 226*z**2 - 892*z + 888.\nAnswer: -(z - 222)*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 40 + 3*j + 120)*(j**3 - 2*j**3 + 2*j**3).\nAnswer: 3*j**4 + 37*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17466\/(-78597)*(0 - 72).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.34 - 87.04. Let d = 0 - 0.02. Sort 2, d, p in increasing order.\nAnswer: d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4919339, 9838678, 14758017, 19677356, 24596695?\n\"Answer: 4919339*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-40))\/(255\/3825)*280\/(-6)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2325 divided by 8.\nAnswer: 2325\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*f + 662 = 0, -4*y + f = y - 1655. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 72.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 + 12. Suppose -17844 = -51*k - 5808. Are o and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-1815)\/120)\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319 and 261493?\nAnswer: 2876423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -j + 6*j - 15, 3*j - 47 = -5*g. What is the remainder when 2 - ((3 - 3) + -19) - 3 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -121*k**3*w + k**3 + 5511*k**2*w**2 - 828955 wrt w?\nAnswer: -121*k**3 + 11022*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34889 and 556.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1682 + 1678. Let l = -9 + 13. Put -3, l, w, 0 in decreasing order.\nAnswer: l, 0, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 479 + -479.0661. Let y = 0.06609938 + s. What is y rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.964 - -0.234. Let s = 0.76 + o. What is the nearest to -1\/3 in -1\/6, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 683*m - 161*m**2 + 442*m**2 + 588*m - 10*m**2 + 2 + 340*m**2 wrt m?\nAnswer: 1222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 7 - 10*a**3 + 45*a**2 + 9*a**3 - 40*a**2. Let f be s(-2). What is the greatest common divisor of f and 990?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/11 and -77\/26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 2*g - 3. Let m be (-14)\/4*(-12)\/(-2)*-1. Suppose -k = 5*i + 15, 3*k + m = -i + 4. What is c(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 9*i - 7*i + 17*i - 7.\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and -0.7365.\nAnswer: -17.7365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*r + 9720 = -9*r + 84*r for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - (sqrt(91) - 1*sqrt(91))))*6 + -5*sqrt(91)*4)\/(-4*(sqrt(1008) + -1*(sqrt(1008) + sqrt(1008)*-1) + sqrt(1008))).\nAnswer: 5*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -20, 0 in increasing order.\nAnswer: -68, -20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 37104\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/7 + 216*l**4\/7 + 7338*l**3\/7 + 10348*l**2 - 126720*l\/7 - 69696 = 0. What is l?\nAnswer: -44, -21, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, 4, 34957 in descending order.\nAnswer: 34957, 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 37990.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -569.74 + 23.562154?\nAnswer: -546.177846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvwzvwvwtwxwttwv. Give prob of picking 1 t, 1 x, and 2 w.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -5 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 31, 4, -1 in increasing order.\nAnswer: -1, 1, 3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1261872 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313131103 - -2?\nAnswer: -313131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/180 in -3, -1\/4, 1\/9, 0, 1\/16, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 40 = 17*i. Suppose 2*g - 2*c - 22 = 0, -2*g - 5*c - i = -61. Suppose -g*n + 324 = -12*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7878238 + -7878250.0000072. Let d = x + 12. Round d to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114860 is divided by 1726?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -8 + 3 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*g + 616 + 503 - 15 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3932 - 3938) + (2 - -16 - -2) - (1 - -100)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23932762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 6*g - 3. Let z be p(-7). Let f be 125*2*6\/4. Suppose -f = z*o - 2251. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/(l\/l**(-1\/13)))\/((l*l**(-2))\/l*l)**7*(l*l**(2\/3))**(-4\/27)*(l*l**(-1)*l)**1 assuming l is positive.\nAnswer: l**(6679\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4 = -7*a + 2*l, -5*l = -4*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1)*81\/((-173502)\/(-2023)))\/(3\/9)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000236123332 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12130933 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -79380 rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (338\/(-39))\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/42*(-1)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6087304 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -3 in ascending order.\nAnswer: -6, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + ((sqrt(1008)*-3)**2 - sqrt(1008)) - sqrt(1008) - (5 + 2 + sqrt(28)).\nAnswer: -14*sqrt(7) + 9065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 2890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2896.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 10:29 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*c + 1 + 6, -4*d + 55 = 3*c. Suppose 2*z - 3*z + 8 = 0. Calculate the smallest common multiple of z and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmh when three letters picked without replacement from rmfh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1 + (-1 - 3 + 3)*(3 + 3 - 5) + 2 + 1 - 4)*(0 + 5 - 2)*(146 + 29 + 14)*(2*b + 0 + 0)*(0 + 0 - b).\nAnswer: 1134*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -183.61, 42, 0.2, -57 in decreasing order.\nAnswer: 42, 0.2, -57, -183.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77131 is divided by 25708.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -799?\nAnswer: 72\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnnnqniqqqnpeqpq. Give prob of picking 1 i and 1 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1186\/4485 + -4\/15. What is the common denominator of t and 35\/33?\nAnswer: 9867","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 2:39 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3001*40.9.\nAnswer: 122740.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/2, 1028, 2, 170.\nAnswer: -11\/2, 2, 170, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (5 - 2 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 70. Let z = -5264 - -5244. Determine g(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 20. Let r(c) = -c**3 + 6*c**2 - 5*c + 2. What is the tens digit of r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.65951 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14075616 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (78\/8)\/13*48\/(-90)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from xebxeozbbozbx?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 32 = 2*d. Let m = d + -8. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1695 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -38 + 34.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 387932.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9*l - 6*l**2 + 7*l**2 - 1)*(0*l + 5*l - 3*l).\nAnswer: 2*l**3 + 18*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.324 + -0.324. What is the biggest value in 0, -14, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 21*m**2 + 9*m - 17. Let o be s(10). Let r(k) = -3*k - 79. Let a be r(o). Solve -y - 5 - 1 = -a*j, 8 = -5*y - j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*j = -49, -14*u + 5*j + 67 = -11*u. What is the remainder when 114 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76509884 divided by -284?\nAnswer: -269401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 30, 4, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 494, 1039, 1572, 2093?\n\"Answer: -6*v**2 + 563*v - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - 4586*g**2 + 311511*g**2 - 18*g.\nAnswer: 306925*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/19, -0.3, 0.416, -2.4, 2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s - 30. Let y(d) = 5*d - 32*d + 11*d + 9*d + 5*d. What is z(y(f))?\nAnswer: -16*f - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 6*x**2 - 5*x + 5. Give d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548973760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1302 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1157*a + 1165*a - 64 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c - c + 0*c**2 + 348*c**3 + 2*c**2 - 350*c**3 + 6.\nAnswer: -2*(c - 3)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140577850 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245 - -982. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 19*x**2. Let w = 820 + -747. What is the remainder when w is divided by b(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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 k(a) be the second derivative of -246*a**5\/5 - 569*a**2\/2 - a - 21. Differentiate k(o) with respect to o.\nAnswer: -2952*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o + 17. Let d = 7 + -2. Let p(j) = -24*j - 34. Let a(w) = d*r(w) + 2*p(w). What is the derivative of a(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5587 = v, 2*d = -2*d. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 102*v + 2589. What is y(-54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1. Let f(z) = -8*z - 2. What is f(h) + q(h)?\nAnswer: -8*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - ((sqrt(300) + -2*sqrt(300) + sqrt(300))*-5)**2) + -2 + sqrt(3) + (sqrt(3) - sqrt(6)\/sqrt(72)).\nAnswer: -2 + 71*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 43. Put -5, a, -7 in descending order.\nAnswer: a, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/28*1\/(-3))\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 583 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -202, -455, -810, -1267?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**6 - 4*o**3\/3 + 7. What is the third derivative of p(m) wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 144?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -115, -77, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvvqrertvrvetvvqrvv. What is prob of picking 1 q and 1 v?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4) + 39\/(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3 + (1*sqrt(304))**2 - (-1*sqrt(475)*-2 + -2)**2.\nAnswer: -1592 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)*p**(-5))\/((p**1*p)\/(p*p**(1\/11))) assuming p is positive.\nAnswer: p**(-314\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 309850223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 359.\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.6 and 5051.\nAnswer: 5043.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.503 + 32336.\nAnswer: 32323.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -52, -113, -206, -337, -512?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147639029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 290281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327\/4 - 81. Let i be 15\/28 + (-2)\/7. What is the second biggest value in -0.2, i, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 386, -0.4, 0.2 in descending order.\nAnswer: 386, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -258\/25? (a) 1 (b) 1\/87 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59077112 by 4.\nAnswer: 14769278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*q - 85*q + 209*q**3 + 210*q**3.\nAnswer: 419*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-5))\/(1\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23904879 to the power of 1\/2, to the nearest integer?\nAnswer: 4889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwimxwdxwxwxnim. Give prob of picking 1 x, 1 w, 1 i, and 1 d.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 5. Let u(w) = w**3 - 1. Suppose -d + 4 + 2 = -q, -3*d - 4*q = 17. Determine d*r(o) + 3*u(o).\nAnswer: 3*o**3 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069015349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/9))**(-1\/26)*g*g**(-1)\/g*g\/(g**(-1\/7)*g*g) assuming g is positive.\nAnswer: g**(-1507\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-45)\/(-6)) + 11\/3. Suppose 4*s + m = -t*m + 32, 8 = -2*s + 4*m. What are the prime factors of 11\/22 + 250\/s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(17) + -2)*3)**2 + (2 + sqrt(2057) + 4)**2.\nAnswer: 6*sqrt(17) + 2687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 59*i**2 - 896*i - 26726. What is f(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from bfffp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*f - 243*f + 8 = -2*z, 84 = -43*f + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 35*z**2 + 33*z - 37. Let q(w) = w**3 - 17*w**2 + 17*w - 19. Let r(f) = 6*h(f) - 13*q(f). What is the remainder when r(8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -6*i - 7*i - 105 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**3 - 57*g**2*x - 3*g - 8026*x wrt g.\nAnswer: -15*g**2 - 114*g*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {e: 7, v: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30110 + -30098. Solve -4*j - i + 36 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883604142.\nAnswer: 2, 3, 1697, 28927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, p: 5, t: 2}. Give prob of picking 3 d and 1 p.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9669 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5930054 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 59dc?\nAnswer: 59df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26635 + 50690. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5631578 * -0.08.\nAnswer: -450526.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-21))\/(-4) - 4\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -z - 6, 1032 = z - 2*v + 1036 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -41*l**2 + 3*l - 3. Let a(u) = 76 + 1026*u**2 - 2623*u + 1225*u + 1322*u. Give -3*a(r) - 76*s(r).\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**4 + 34*r - 33*r + 125*r**2 - 157*r**2)*(-5 - 17 - 8) as k*r**4 + f*r**3 + q*r**2 + u + g*r and give q.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3\/271230446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-167775)\/(-55) - 126\/(-231)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95353 and 0.1?\nAnswer: 95352.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51313731*n**2 - 2*n - 1821690?\nAnswer: -102627462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 7*i**2 - 3*i**2 + 0*i**2 + 0*i**2 + i**2 + (5*i - 3*i - 4*i)*(-3*i - 2*i + 4*i) - 216*i**2 + 1782 - 1782.\nAnswer: -219*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2\/13 (c) 5 (d) -47\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-15)\/t))*t*t**(1\/2)*t)**(-3\/19) assuming t is positive.\nAnswer: t**(81\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 6330\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*k - 8 - 20, -3*k - v - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 6. Suppose 1 - m = -3*f. Suppose -3*p + 22 = -2*p - f*w, -4*p = -3*w - 62. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 29*d**6\/15 - 27*d**5\/10 - d**4\/3 - 51*d - 3. Factor l(m).\nAnswer: 2*m**2*(m - 1)*(29*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + w**2 - 2*w**2 - 59*w**3.\nAnswer: -59*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14432 divided by -352?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.880743l to millilitres.\nAnswer: 5880.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5776 is divided by 250.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2 + q + 0*q + 5*q**2 + 3. Let l be s(-1). What is the highest common factor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 3*w**7\/70 - 4*w**4\/3 + 10*w**2 - 17*w. Find the second derivative of t(j) wrt j.\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1520.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 5. Let g = -75 - -77. Let f(r) be the first derivative of -r**2 + 16*r - 16. Give g*f(v) + 7*t(v).\nAnswer: 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 213305300 to the nearest 100000.\nAnswer: 213300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b + 76. Let x be y(-8). Let h(a) = a + 6. Suppose -3*s - k + 102 = -0*s, -111 = -3*s - 4*k. What is the remainder when s is divided by h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.08, 2.5, 1\/2, -1\/2 in ascending order.\nAnswer: -2, -1\/2, 0.08, 1\/2, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 68 = -4. What is the least common multiple of 12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -78829.\nAnswer: -315316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 37*h**2 + 2*h + 2. What is the remainder when p(-1) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -2.77?\nAnswer: 1.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q - 2*q**3 - 698862 + 698862.\nAnswer: -2*q**3 + 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 347*r**5\/60 + 31*r**4\/24 - 12*r**3 + 194*r**2. List the prime factors of d(2).\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 96082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:36 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 - 3*k. Let j be w(2). Suppose -2*n = -4*a - 1344, -n + j*n - 696 = -4*a. Suppose -8*u = -0*u - n. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + s**2 + 8 + 20*s + s**2 = 0 for s.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27962700 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u. Let k be x(4). Suppose -2*q + f + 95 = 2*q, -2*q + 45 = -3*f. What is the highest common divisor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1331118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 13*t + 165. What is q(22)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**4\/15 + 6*h**3\/5 - 14*h**2\/15 - 6*h\/5 + 16\/15 = 0?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**2 - 6*h + 316. Let d(t) = 21*t**2 + 16*t - 946. Determine -3*d(v) - 8*j(v).\nAnswer: v**2 + 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-2025))\/(1\/(-28)) - 2.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9. Suppose 5*w + p*w - 390 = 0. Suppose h = 2*h - w. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71119\/759 + -4021\/46. Let z = y - -50\/11. Find the common denominator of z and 23\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -484, -2090, -4768, -8518, -13340, -19234?\n\"Answer: -536*m**2 + 2*m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5))**(-10)\/(h\/h**(1\/5)*h*h*h)**(10\/7))**(-2\/25) assuming h is positive.\nAnswer: h**(-624\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 11*d**3 - 2*d**4 - 2*d**3 - 11*d**4 + 3*d - 4*d to c*d**4 + o*d**3 + g + a*d**2 + n*d and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -526 - -517. Let q(j) = j**3 + 18*j**2 - j + 10. What are the prime factors of q(z)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, -6, 2 in descending order.\nAnswer: 2, -4, -6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:36 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451329723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1807 (base 11) to base 13\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08831945 - 4709174?\nAnswer: -4709174.08831945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 9, -0.4, 3, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 + 68258*r**3 - 56804128*r**2 + 11966250112*r = 0.\nAnswer: 0, 424, 33281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, 2, 4, 3, 1070 in decreasing order.\nAnswer: 1070, 17, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1\/6, 4, 0, -2, -1.\nAnswer: -17, -2, -1, 0, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -3*z + 8*z. Let y = 26 + z. Calculate the remainder when y is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38495070 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 2. Suppose 4*m - l = -2*v, -m = -4*v - 0*m - 14. What are the prime factors of v\/(-7) - (-1417)\/91?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1012 + 108 = 0. List the prime factors of b.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/5 - 3010004*j**3\/5 + 453006806001*j**2 - 4530056020002*j\/5 = 0 for j.\nAnswer: 0, 2, 1505001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223749856*b**6 + 2503*b**2 - 2*b - 3620.\nAnswer: 26849982720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 16)*(0 + 0 - d)*(12 - 16 - 9*d + 6).\nAnswer: 153*d**2 - 34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 11*h + 1. Let t be q(11). Let z(o) = -o**2 - 5*o + 2. Let u be z(-6). Which is the third smallest value? (a) 26 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39913 or 2754038\/69?\nAnswer: 39913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -476*d + 1060*d + 913*d - 61377 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 13*q**2 + q - 4. Let v be i(0). Let j(c) = -2*c - 16. What is j(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46\/7 + -1504\/231. Let l = 2264\/3 + -755. Which is the closest to l? (a) r (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4725 and 1\/32550?\nAnswer: 292950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ccaccccacccccccccccc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 8:36 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2. Let p(b) = -106*b. What is p(c(d))?\nAnswer: -212*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:00 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/((-36)\/3))\/(-2)*(-90)\/108\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (9 + -2)) + -3 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(132))\/sqrt(11))\/sqrt(4).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y**5\/3 + 4360*y**4\/3 + 105388*y**3\/3 + 781552*y**2\/3 + 708976*y\/3 - 5457920\/3 = 0. Calculate y.\nAnswer: -128, -13, -82\/7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 578*i**3 - 3*i**2 + 167*i - 3. Let g(w) = w**2 - 19*w. Let z(h) = a(h) + 3*g(h). Find the second derivative of z(j) wrt j.\nAnswer: 3468*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929119 is divided by 729?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, t: 1, z: 4, a: 1}. What is prob of sequence at?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.267 - -21.967. Let w = -5 - -5.24. Sort u, w, 3 in descending order.\nAnswer: 3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n - 102 + 2\/3*n**3 - 1\/2*n**4 + 0*n**2. Let l(d) = 6*d**3 - 7*d**2 - 7. Determine -4*l(a) - 14*w(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1916)\/(-6)*30\/20. Suppose -4*q - h = -w, 146 = 2*q - q - 5*h. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2*i**5\/5 - 19*i**3\/3 + 63*i - 66. Differentiate q(p) with respect to p.\nAnswer: 8*p**3 - 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 18*t**2 - 17*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3115 (base 7) to base 12\nAnswer: 76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*i**3 + 3*i + 34*i**3 - i + (-4 + 4 + 4*i**3)*(0 + 0 + 2 + (0 - 1 + 2)*(1 - 1 + 3)).\nAnswer: 24*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9024867?\nAnswer: 3, 19, 89, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5928, 22896, 51180, 90780?\n\"Answer: 5658*v**2 - 6*v + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(456) + sqrt(456)*1 + sqrt(456) + sqrt(456))\/sqrt(8))\/(sqrt(192)\/sqrt(4)*-4).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 246243*v - 3201163. Give t(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5129, -10555, -16267, -22265, -28549, -35119, -41975?\nAnswer: -49117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638257 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 40 = x, -67 = -26*z + 33*z + x for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let r(t) = -336*t. Let c(h) = -13*h. Let q(d) = 13*d. Let g(f) = 6*c(f) + 7*q(f). Let i(b) = -105*g(b) - 4*r(b). Determine a(i(o)).\nAnswer: -441*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010101111010011000 - 0?\nAnswer: 101010101111010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 + 3*b - 1. Give i(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 13. Let u = 125 + -128. Which is the fourth biggest value? (a) s (b) -1 (c) u (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let w be l(3). Let z be (-78)\/w*440\/18. Let t = -462 + z. Find the common denominator of t and -2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 - 7*w + 7. Let v(r) = 5*r + 10. Let t(s) = 1. Let g(c) = 10*t(c) - v(c). What is g(m(a))?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 + 4*f**2 + 19*f**3 - 19*f**2 + 7*f**2 + 10*f**2 as y + q*f + g*f**3 + b*f**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*o**4 - 2903*o**3 - 54*o**2 - 4*o - 412.\nAnswer: 1248*o - 17418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0*h + 0 + 0*h**4 + 0*h**3 - 1\/60*h**5 - 2*h**2. Factor x(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 98. Suppose 0 = 5*d - 3*a - 1427, 2*a + x*a = 5*d - 1435. Calculate the remainder when d is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 5*s**6\/3 - s**3\/3 - 7. Find the third derivative of b(k) wrt k.\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 9, -4, -8\/11, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 11*r**2 - r + 12. Let o(s) = -s**3 + 5*s**2 - s - 4. Let d be o(3). Let f be p(d). Is 1 != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (-13 + 18)) + 8 + -9?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -149 greater than -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 2*g - 3 + 0)*(1 + 4 - 2).\nAnswer: 9*g - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2. Let h(l) be the third derivative of 1\/8*l**4 + 0 + 4*l**2 + 0*l + 0*l**3. What is h(r(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 3*n + 2. Calculate the remainder when l(4) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-414)\/3519 - 160\/(-782).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13*p + 31. Let v be u(-5). Suppose 14*n - 2 = v. Let y = 8 - 6. Solve y*r - n = 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - q + 4 + 3*q**2 + 6*q. Suppose -11*o - 3494 = -3428. What is u(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 740 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -848, -3102, -6760, -11822, -18288?\n\"Answer: -702*o**2 - 148*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -0.343 (c) 2\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8928*-0.4\nAnswer: 3571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 545 = 349. What is the greatest common divisor of k and 2954?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 25569, 5?\nAnswer: 25569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/((-12)\/6)*(-2)\/8. Let o be -2 - 12\/(-3) - l. Let s = 12 - 12. Solve s = o*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3065270622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (-10 - 0) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/40)\/((-87)\/(-116)) - (24\/(-9))\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = -6. Let h be (c - 0)*(-8900)\/(-3). What is h rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -218*g**2 + 3*g + 1. Let o(h) = -219*h**2 + 2*h + 3. What is -3*o(v) + 2*q(v)?\nAnswer: 221*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/12 + 277441*y\/12 + 277429.\nAnswer: (y + 12)*(y + 277429)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/16 - (-39)\/4. Suppose 2*t - 23 = y, i = -3*t + 2*y + 42. What is t rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:01 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4528140567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 282\/7 + -228\/7. Find the common denominator of -53\/10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/((-3)\/(-9)). Let v be g\/(-15)*12\/1. Solve -v*p = p - 5*l + 20, 0 = -p - 2*l + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520187787.\nAnswer: 3, 7, 41, 201389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:22 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -15*l**4 + 1120*l**3 - 27030*l**2 + 205320*l + 71485 = 0.\nAnswer: -1\/3, 17, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41632559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.99298737 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3176719.3 minus -39.83?\nAnswer: -3176679.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 + 30*j**3 + 36*j**2 - 30*j - 33 = 0. What is j?\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1\/13, 12, -3\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 11. Let g be 4\/(-8)*(w + 1). Let f be 2 + 4\/2 + g. Solve -b + o - 3 = 0, -3*o - f = 2*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h + 10814 = 2382. Let f = 55 + -38. Calculate the highest common factor of h and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127108 = -4*h - 15776. Let p = 28309 - 48142. Let g = p + h. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32757 - 1525*a - 32757 in the form o + j*a and give j.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z**2 - 27*z - 75. Let b be k(-4). What is the third smallest value in 0.5, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305690 divided by -136?\nAnswer: -1152845\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w - 17. Let v(a) = -69*a - 34. Let y(m) = 11*h(m) - 6*v(m). Let l be y(-2). Is l*(11\/(-2) + 4\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.814550945 * 2\nAnswer: -1.62910189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f + 2. Suppose 5 = -2*u + 3*u. What are the prime factors of c(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.59 - 5.6. Which is the biggest value? (a) -2\/13 (b) t (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:32 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 12 = 30. What is the third biggest value in -3, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 553*p**3 + 1071*p**3 + 403*p**3 + 3*p.\nAnswer: 2027*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, n: 2, l: 2}. Give prob of sequence llnl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u**2. Let t(l) = 5*l**2 - 16. Let h(p) = -2*p**2 + 5. Let b(z) = 8*h(z) + 3*t(z). Let g(y) be the first derivative of b(y). Determine g(w(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 335 - 327. Calculate the greatest common divisor of c and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33806, 34366, 34924, 35480?\nAnswer: 36034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*3 - (sqrt(931) + -4)) + 5 + 4*(3 + sqrt(1216)))**2.\nAnswer: 2058*sqrt(19) + 46060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 154238, 154242, 154246, 154250, 154254, 154258?\n\"Answer: 4*g + 154234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*h - 18 = 0, 3*d + 0*d + h + 16 = 0. Let x(v) be the first derivative of -29*v**2\/2 - 16*v + 2. Is x(d) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*t + 51 = -96*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5a (base 11) to base 9\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*b - 12 = -b, 3*w + 2*b = 6. Find the third derivative of 25*i**2 + w*i**5 - 24*i**2 + 6*i**5 wrt i.\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1920 and 2640.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ed (base 15) in base 9?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120477\/17 - -7087. Which is the nearest to -88? (a) 5 (b) -0.2 (c) -0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 8. Let p be k(-6). Let b = 17.5 + -17.4. Put b, 2\/5, p in decreasing order.\nAnswer: p, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 238*h + 75. Let q(t) = 277*t + 74. Let v(f) = 6*q(f) - 7*s(f). Calculate v(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1139 and 221153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1288 and 13272?\nAnswer: 305256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124202 - -154?\nAnswer: -124004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7637244 * 30.\nAnswer: 229117320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 178\/3 + (-10)\/(-15). Suppose -6*j = -3*j + n. Let a be -48 + j\/30 + (-16)\/(-6). Which is greater: -47 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-8)*-2)\/(54\/(-11232)*13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 14*g**2 + 12*g - 9. Let p be 201\/(-15) + (-6)\/(-15). What are the prime factors of j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -6 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1008 by -252.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 117085, 117091, 117099, 117109, 117121?\n\"Answer: k**2 + 3*k + 117081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*h + 3, -3*h + 3 = -105*l + 108*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 1. Let r = 4 + -9. Let y = r - -4. Suppose 4*d = 5*t + 1256 - 1288, 5*d = -15. Let a(w) = 5*w**3 + 3*w**2 + w + 4. Give t*z(x) + y*a(x).\nAnswer: -x**3 - 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(24\/16)\/3*20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(80) - -2*sqrt(80)).\nAnswer: -3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14906 by 5.\nAnswer: 14906\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.000027 + 64. Round d to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2*2\/(-16)). What is the tens digit of (f\/(-6))\/(2\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -16 - 23*k + k**3 + 6 + 24*k. Let o be m(2). Let g(x) = -5*x**3 + x**2 + 2*x + 1. Let b be g(-1). Solve 5*t = -o*t + b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.1, 1\/5, -290?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/(-77) + (-52)\/(-14). Solve -14*q + 16*q + 3*f + 25 = 0, 3*q + x*f + 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61057, 122107, 183163, 244225?\n\"Answer: 3*m**2 + 61041*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 5:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3623913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5813, 12749, 19685, 26621, 33557, 40493?\n\"Answer: 6936*c - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186.229 + -0.229. Let k = f - 185.917. Let g = k + -0.08608. What is g rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 - 45*c**3 + 176*c**2.\nAnswer: 120*c**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 632*l**2 - 30960*l - 384. Calculate h(49).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 4\/((-4)\/(-239)). Let b = h + 434. What are the prime factors of b?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 11:54 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - 13*m**2 - 2*m**2 + 0*m**2 + 3*m**2 - 2*m**2 + (-2*m + 1 - 1)*(4*m + m - 3*m) + 0*m**2 - 5*m**2 + 3*m**2.\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137614940*n**4 + 513092078 with respect to n.\nAnswer: 550459760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**2 - 18*m - 12. Suppose 14 - 6 = 2*j, -5*j + 2 = -3*g. Let d be v(g). Solve 5*h = 2 + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k**28\/k)))\/k**(1\/9))\/(k\/k**(-1\/7)*k*(k*k**(-10))\/k))**(2\/115) assuming k is positive.\nAnswer: k**(4378\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 9. What is the units digit of (12\/10)\/(s\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 11:15 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -4 + (-2)\/(-2))*6. Let j = -20 + d. Let h = 76 + j. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 793, 0, 497.\nAnswer: -10, 0, 497, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 30 = 2*m. Let g(l) = -4*l - 4. Calculate the common denominator of g(m) and (2 + -5 + -106)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1 = -8*t + 5*t, -5*t - 8 = 2*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 8368 = 6135. Calculate the highest common divisor of 1827 and k.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*r - 1946 - 1132 = -633 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986704023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -5, 1 in descending order.\nAnswer: 7, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/(-40))\/(2\/40). Let p = g - 38. Let v = 8 + p. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4581?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 111, 3, -2, -29 in ascending order.\nAnswer: -29, -4, -2, 1, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + (8 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/39*(-468)\/162?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 11*x**2 + 93919*x - 939288. What is f(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 3343?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, o: 1, h: 1, u: 4, a: 6}. What is prob of picking 1 h, 1 u, 1 a, and 1 o?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:16 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 + 7*h. Let p(r) = -3*r**2 - 6*r. Let s = -488 - -481. Give s*p(u) - 6*f(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2670*k - 2736*k - 107*k**2 + 5406*k.\nAnswer: -107*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153a8 (base 13) to base 6.\nAnswer: -510023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6792962.\nAnswer: 2, 11, 17, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w**3 + 4*w**2 + 20*w - 4. Let l(k) = -4*k**3 - k**2 - k + 1. Determine 4*l(h) + r(h).\nAnswer: h**3 + 16*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -37*v + 10. Let d(y) be the third derivative of -y**4\/2 + y**3\/2 + 2*y**2 - 285*y. Calculate 7*d(w) - 2*n(w).\nAnswer: -10*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1\/(-24)*-6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from {e: 2, h: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) 5 (c) -1.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.511, 4\/9, -5, 1.13, -0.3?\nAnswer: 0.511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let l(f) = 282501*f**2 - 3*f + 2. Let h be l(o). Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573*6 + (-1800)\/480*4\/(-3) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2)*-2 + 5 + (sqrt(24)*-1)\/sqrt(12)).\nAnswer: -6*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 3)*((-2 + 1 + 0)*(12 - 2 - 2) - 1 + 1 - 1)*(t - t + t) to x + u*t and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0439 and 2.9.\nAnswer: -0.12731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 1. Let b(u) = -u**2 - 6*u - 3. Let o be b(-5). Let w = q - o. Solve -2 - w = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717555, 717523, 717489, 717453, 717415, 717375, 717333?\nAnswer: 717289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137247926 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3)*(143*w - 57*w + 44*w) in the form n*w + s and give n.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (1 + (18 - 1)) - 12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 18*w + 5*v = 21, -4*w - 34 = -6*v. Let x(h) = h**3 - 7*h**2 + 6*h + 2. Let u be x(6). Put u, 4, w, -5 in descending order.\nAnswer: 4, u, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.0000135 - -12. What is r rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 41*b = 222245500. Round b to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/9 - 252452*g\/9 + 1794304 = 0.\nAnswer: 64, 126162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 80 = 5*u, 40 - 216 = 2*a + 11*u. Let y be 3\/2*(-4)\/(-5). Factor -9\/5*z**2 - y*z + 0*z**3 + a + 3\/5*z**4.\nAnswer: 3*z*(z - 2)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 65. What are the prime factors of -2 + u + (-8)\/16*-154?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 8. Is f(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 14. Let x = 4 + -3.5. Let t be (-2)\/(2\/2 - 6). What is the closest to 2\/9 in q, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 - -0.1. Let g = -151 - -607\/4. Let p = -0.3 - -0.2. Sort p, g, h in increasing order.\nAnswer: h, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 22*h**2 + 85*h + 2. Determine c(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 - 244. Let w be (-286)\/110 + (-2)\/a - 3. Let f(g) = -g**3 - 5*g**2 + 9*g + 1. Calculate f(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from dggddpggpppgpgpdp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -23. Solve p = 5*l - 3*l - 3*r - 7, 0 = l + r + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z**5\/17 + 2565478*z**4\/17 + 274241260328*z**3\/17 + 1005513376160*z**2\/17 - 365642471552*z\/17 = 0. Calculate z.\nAnswer: -213788, -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2 + 294879124*n - 21738424442751844 = 0.\nAnswer: 147439562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p + 8 = 69*p, -4*p = 3*g - 5705. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.17, -10\/61, 5\/4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1000010 (base 2) to base 4\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1)\/(-3 - -2) - -2. Solve -4*x = v - r*v + 20, x = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-16))\/(7\/((-14)\/(-6)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + 270. Suppose 0 = -3*y + 2*j + 74 + 164, -4*y - 2*j = -h. Suppose y = -6*p + 10*p. What is the remainder when 75 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 7*f**2 + 2. Let c be w(7). Solve 5 = -c*i - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26758, -26760, -26762, -26764, -26766?\nAnswer: -26768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23\/3*i**2 + 41\/6*i + 3\/2*i**3 + 2\/3.\nAnswer: (i + 1)*(i + 4)*(9*i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642266352 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 1.4. Let x = -15.35 + 14.25. Let u = n - x. Sort 2\/7, 3\/5, u in descending order.\nAnswer: 3\/5, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 + 3*u + 158. List the prime factors of o(-13).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - 0.595. Let w = k - -0.055. Round w to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 17*v. Let x = 68 - 49. Suppose -x + 6 = -z. Let t(g) = 9*g - z*g + 6*g. What is t(c(d))?\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -883, -1325, -1767, -2209, -2651?\nAnswer: -3093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8021872230*j - 8021872230*j - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-34 - ((-43 - -9) + 17))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - z**2 - 13 + 10 - 6 as c*z**3 + t + x*z**2 + i*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*r - 86*r + 189*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21130095.\nAnswer: 3, 5, 7, 61, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/294 - 12971\/(-32487)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/3)\/g)*g**4)**(-2\/41)*g*g*g\/(g\/((g**(1\/4)*g)\/g))*g**5*((g*(g\/(g**(-2\/5)*g))\/g)\/g)**(-40) assuming g is positive.\nAnswer: g**(15247\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = -985 + 65874. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39121, 78958, 119513, 160786, 202777, 245486, 288913?\n\"Answer: 359*i**2 + 38760*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.16025 hours in milliseconds?\nAnswer: 324576900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 3*u + 5. What is c(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2931445597 to four decimal places.\nAnswer: 2.2931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 - 12*k**2 - 110*k + 28. Let h(w) = 2*w**3 + 9*w**2 + 73*w - 20. Calculate -7*h(j) - 5*n(j).\nAnswer: j**3 - 3*j**2 + 39*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4182540216 to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64\/6 + 8\/24 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbef when four letters picked without replacement from {b: 1, v: 1, e: 1, f: 1, k: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k - 125. Let t be (8 - 2 - 2)\/((84\/(-54))\/(-7)). Calculate c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b - 8*b + b)*(-1 + 0 - 2).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947770737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54.999 + -0.001. Let n = -56 - v. Let m = 1.44 + n. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1aac9 (base 15) to base 2.\nAnswer: -10101001100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2468 + -549. What is the greatest common factor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(3) + (sqrt(27)*1 - sqrt(3))**2.\nAnswer: sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2615638100 to the nearest integer?\nAnswer: 51143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose c*o - 7*o + 384 = 0. Suppose -5*v = 2*z - o, 93 = 7*v - 2*v + z. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -14*x**2. Let m(z) = -3 - z + 3. Give i(m(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-52 + 57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 228703886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 163905487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39 - 29)*(2 + (-1)\/2). Solve 18*d + o = 21*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-35)))\/s**(-1\/21)*s\/(s*s\/(((s*s\/(s\/(s\/(s*s**(-7\/4)\/s)))*s)\/s)\/s*s))*s*s\/s**(-7) assuming s is positive.\nAnswer: s**(3931\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-222)\/(-42) - (-6)\/(-21). Suppose 0*u + 45 = 4*k + y*u, -5*k - 5*u = -50. Calculate the greatest common divisor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -351 - -1141. What are the prime factors of u?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 488.99.\nAnswer: 489.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15039 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, c: 3, e: 3, v: 3, f: 2}. What is prob of sequence ecc?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let j be v(-2). Is 3 a factor of -7*j\/4*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 28. Let a = i + 28. Is 3\/(a\/664) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/12 + 5*a**3\/6 - a**2 + a + 3. What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1252*u**3 + 193*u - 648716.\nAnswer: -3756*u**2 + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 30*z**2 + 163*z - 42. Give t(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(17\/(-4) - -6). Let v be 0\/(-2) - (17 + b). Solve -15 = m + 5*h, -v*m + 1 = -h - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/5)\/(12\/(-40)). Let r(l) = -2*l + 44. Let b be r(24). Let k be (-4)\/12*-33 + b. Is k > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52939 - 31236. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 26*u - 293. Calculate t(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*b - 565, -3*n - 106 = -4*b - 979. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + 1.7. Let t = x - 4.8. Which is the closest to 2\/5? (a) 0.1 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.914 + -0.414. Let w = -254 - -3812\/15. Let y = 2 - 2.1. Which is the nearest to y? (a) t (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29544 is divided by 62?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighty-one halves of a day?\nAnswer: 58320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 24, 2, -12 in increasing order.\nAnswer: -12, 2, 24, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 11) to base 9.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 - 7*i + 3. Let d be w(-7). Suppose -d*j + 4*j - 6 = 0. Find the second derivative of -u**3 - 4*u - j*u**3 + u**3 wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 146 + 0 + (-258 - -222).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 1518, 2188, 2800, 3354, 3850, 4288?\nAnswer: 4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-26))\/(36\/(-48))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4bd4e9 (base 15) to base 6\nAnswer: -210000533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 not equal to 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-1)\/22)\/(2\/(-96))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115730, 115734, 115740, 115748?\nAnswer: 115758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let z(w) = 4*w. Let a(c) = 3*p(c) + 2*z(c). Let m(s) = -s**2 + 5*s + 1. Let h(v) = -5*a(v) - m(v). Give h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1350.599 years?\nAnswer: 13.50599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by (-2)\/(42\/(-28)*4\/42)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 719783844462 and -0.1.\nAnswer: 719783844461.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3 - 3 - v**2. Let d(i) = -6*i. Let m(o) = 4*o. Let y(n) = -5*d(n) - 8*m(n). Calculate y(p(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1, 24, -0.07, 1\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 14) in base 4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/4 + 267*n**3\/4 - 15257*n**2\/4 + 236025*n\/4 + 125775\/2 = 0.\nAnswer: -1, 30, 43, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**4\/4 + 5*s**3\/3 + 4*s**2 + 2*s + 1. Let t be (2 + -1)\/(2\/12). Let z be q(t). Solve 5*v + 14 = -1, 4*u - 2*v = -z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -123?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15140796, 15140800, 15140806, 15140814, 15140824, 15140836?\nAnswer: 15140850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*x**3 - 110*x**2 + 110*x**2)*(2*x - 2*x + 3*x - 2*x + 0*x + 3*x - x - 2 + 2 + (-4 + 2 - 1)*(-3*x - 3*x + 7*x) + 2 - 2*x - 2 - x - x + x).\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 59\/3*j**3 - 2*j - 9\/2*j**2 - 76. Find the second derivative of r(u) wrt u.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13728 and 3575?\nAnswer: 343200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 261. Does 7 divide k(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -2186.4?\nAnswer: 2193.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05153 + 4916.94847. Let y = z + -4917.02741. What is y rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69257 * 3\nAnswer: -207771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 1. Let i(r) = -5*r**2 + 3*r - 3. Let j(v) = 4*g(v) - i(v). Let x be j(1). Find the second derivative of 0*k**x - 18*k**5 + 43*k + 12*k**5 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let i be g(-1). Let d be (i\/3)\/(6\/45). Solve 25 - 10 = -d*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 20 = 2*y, -46*y + 50*y + 16 = 8*d for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**4\/9 - 664*p**3\/9 + 214*p**2\/3 + 1144*p\/9 + 328\/9 = 0. Calculate p.\nAnswer: -1\/2, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = -5*q, -5 = -2*h + q. Suppose -l - 3 = -7. Find the third derivative of -y**6 + l*y**h - y**2 - 2*y**2 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*(-76)\/(-57)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let h = 3 - 2.9. Let v = h + 0.1. Is v at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -11\/180 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 13*l**2 - 6*l + 6. Let g(j) = 21*j + 98. Let i be g(-5). Let a(d) = 4*d**2 - 2*d + 2. Calculate i*a(m) + 2*k(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 31*p - 26*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - 89. Suppose 3*o - 4 = 4*o. Let q be -3*o*(-2)\/30. What is the biggest value in 1\/4, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/188, 4, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-20)*5\/(385\/(-336)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 + 2. Let z be (-18)\/(-5) + 4\/10. Suppose -5*i = d - z - 11, -4*i = 4*d - 28. Let y be r(i). Solve -n = -y + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-1)\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8264, 10628, 12992, 15356?\n\"Answer: 2364*l + 5900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15525*g + 15531*g - 31058*g + 9*g**2.\nAnswer: 9*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 11674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/65041 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41272 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 56512?\nAnswer: -56502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -17. Let s be -2 - ((-4)\/(-1) - o). Solve 0 = 2*d + 2*x + 2, -s*d - 2 = -0*d - 2*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5886 - -5907. Let n(o) = o**2 - 20*o - 24. Determine n(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = y + 63, 2*y + 2*y - 78 = 3*f. Let s be 32 + f + -1 + -1. Suppose -544 = -s*c + 576. What is the greatest common divisor of 56 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -25. Let m = 7 - v. Calculate the remainder when 5 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 86*s - 3921. Determine n(-119).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**5 + 0 + 0*b**3 - 11\/30*b**6 + 0*b**2 + 3\/4*b**4 - 25*b. Find the third derivative of i(u) wrt u.\nAnswer: -264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3045088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2452 (base 8) to base 14\nAnswer: 6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 4. Let y(l) = 51*l**2 - 3 + 3 - 52*l**2. What is y(g(p))?\nAnswer: -9*p**2 + 24*p - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97362994 at most 97363003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 2 k when four letters picked without replacement from kjkkjjg.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 10:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 467 - 466.5. Let r = -2 + 0. Let h = -11 - -11.05. Sort h, r, f, -0.1.\nAnswer: r, -0.1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-28))\/((-6432)\/(-61908))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8. Let j = -20863 - -103971\/5. Let o = 69 + j. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**36*k*k\/k**34*k*k)\/((k\/(k\/(k\/(k*k**(-20)))*k))\/k*k**(-3\/5)))**(-1\/6) assuming k is positive.\nAnswer: k**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 262, 280, 298, 316, 334?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -39769 - 314711\nAnswer: -354480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 4*m - 0*m - 8, o + 18 = -o + 2*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 5*z**8\/12 + 1345*z**7\/42 + 829*z**6\/4 + 20*z**5\/3 - 220*z**4\/3 - 9991*z**2. Solve y(h) = 0.\nAnswer: -44, -4, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 55, -3, -18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 5624934904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0584 and 0.12.\nAnswer: -0.007008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 5*j - 5. Let a(g) = -2*g + 35. Let i be a(20). Let n(q) = q**2 + 2*q - 2. Calculate i*n(h) + 2*m(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13345 - -1232445?\nAnswer: 1250234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9085708 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13608 and 44712?\nAnswer: 312984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4361, 4356, 4351, 4346?\nAnswer: 4341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -19. Calculate the greatest common factor of k and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -884\/35225 or 0?\nAnswer: -884\/35225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhhhnnhhnhi. Give prob of sequence ihnn.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 58.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4 - 259293*v**3 - 1555830*v**2 - 3111708*v - 2074488 = 0.\nAnswer: -2, 86437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 29. Let k(l) = -35*l**2 + 147*l + 4. Let w be k(4). Suppose 5*j - z - w = 0. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 5*c**4\/4 - c**3\/3 - 3*c**2\/2 + 18*c - 7. Let h be i(-10). Is h\/(-8) - 1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**2*r**3 + 3*p**2*r**2 + 365*p**2*r - 3*p*r - 41*r**2 wrt r?\nAnswer: 6*p**2*r + 6*p**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + -3.6. Let g = m + -1. Let c = g - -2.6. What is c rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60950\/50 - (-27)\/(-3). What is the highest common factor of 220 and s?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*h**4 + 90*h**4 - 1 + 3 + 10*h**3 to w*h**4 + u*h + f + j*h**3 + d*h**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -4*y**2 + 6*y + 1\/6*y**3 + 0. Give v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -86 (b) -0.3 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-1.877\nAnswer: 0.11262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - 216. Let w be (-4)\/(-6)*-6*(-25)\/s. Is 7 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6690\/27 - 4\/(-18) - 5)*1 and 270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/9 + 2\/9. Let j = -44.95 + 45.95. Which is the closest to 1? (a) 9 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9188 + 9185. Is k at least -19\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 - 469*d\/4 + 219961\/8.\nAnswer: (d - 469)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -15 (b) 20 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57564*i**5 - 300*i**3 + 6*i + 8985024 wrt i?\nAnswer: -1151280*i**3 - 1800*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 507, 540, 631, 810, 1107?\n\"Answer: 5*p**3 - p**2 + p + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48\/9*45\/6 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -684, -1, -13\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27497.3 + 83.579969?\nAnswer: 27580.879969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 9*i - 11. Let w(z) = -5*z**2 - 7*z + 9. Give -4*q(d) - 5*w(d).\nAnswer: 9*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 650*a**2 - 25920*a + 1864800.\nAnswer: 5*(a - 148)*(a - 42)*(a + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + -10 - 2*-1. Suppose 4*g + o*u = 7*g - 10, 28 = 2*g + 2*u. Let x = 14 - g. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -4, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 325*u + 46165. Calculate j(-142).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 6. What is the least common multiple of n(-1) and (-17)\/(-5) - 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5 - -1 - ((-31536)\/(-1755))\/16.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11200000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j. Let k(b) = 0*b + 4*b**3 - b - 5*b**3 - b**2. Let p be 10\/25 + 6\/10. Let h(c) = p*x(c) - 2*k(c). Factor h(u).\nAnswer: u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = 3*k, k - 6*k + 21 = -h. Suppose 46 = -k*n + 16. Let r = n - -20. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r**2 + 5. Let q(l) = -16*l**2 + l + 9. Calculate -5*g(o) + 2*q(o).\nAnswer: 8*o**2 + 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 7*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*v - 90*v + 305 = -282*v + 2780 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 144019014 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 26, 57, 100, 155, 222, 301?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1784202 and -119\/6095100?\nAnswer: 981311100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8069\/20 - 1613\/4. Factor 0*l - i*l**3 - 4\/5 + 3\/5*l**2.\nAnswer: -(l - 2)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204049866 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19828491437 + -0.839?\nAnswer: 19828491436.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 7. Let h = 45 - 37. Let v(t) = -t + 17. Let u be v(h). What is the highest common factor of j and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -21 (c) -7 (d) 0.047 (e) -1 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*x**2 + 243*x**2 + 0*x**3 + 7*x**3 - 68*x**2.\nAnswer: 7*x**3 + 81*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-9)*1)\/(-2). What is the smallest value in t, 5, -2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -545, -783, -1117?\nAnswer: -1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)*(-3 + 0). Is (-2)\/o + 1088\/24 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10020)\/(-9))\/(-7*4\/(-1554)). What is g rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 + 53 - 41)*(0 + 0 + s)*(-17 + s - 113*s**2 + 14 + 100*s**2) as m + h*s**3 + y*s + v*s**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1818 * -0.12\nAnswer: 0.021816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/31, 0.26, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -27*u - 22*u - 9 + 3*u**2 + 37*u. What is the lowest common multiple of b(6) and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025002 rounded to six decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42646874*c*x**2*z**2 + 2*x**2*z**2 + 11910609*x**2 wrt c.\nAnswer: -42646874*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1636397897.\nAnswer: 131, 12491587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005054 to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:40 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.11, 2\/11, 0.3.\nAnswer: -0.11, 0.1, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -691 + 1837. Let l be c\/(-13) + (-2)\/(-13). Is l\/(-2) + (0 - 0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 - o + 1. Let a be z(1). Let s(i) be the first derivative of -i**3\/3 + i**2\/2 - 11*i - 4697. Give s(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -8. Let h = -62.903 - -62.5. Let d = 0.403 + h. Which is the smallest value? (a) -5\/2 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10592, -41797, -93818, -166655, -260308, -374777?\nAnswer: -510062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 13. Let s(v) = v**3 - 2*v**2 - 3. Let p be s(3). Let l(z) = -6*z + 2*z + p*z + 0*z. Give l(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(2448) + 0 + 4)**2 + 4.\nAnswer: 24*sqrt(17) + 2453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (53 - 64) + (0 - -6) + -1 + -10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 1. Suppose -f + r = 5*r + 66, 0 = r + m. Let y = -10 - f. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.693 + 0.707. Let t = z - 53.4. What is the biggest value in -2, -1\/3, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -817450 less than -0.4?\nAnswer: 817449.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/75 - (-14)\/(-105). Which is the closest to u? (a) -3\/2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(4 + (-218)\/54). Let j be 1\/((x\/12)\/9). Suppose -5*q - 10 = -5*h + 40, -q - 49 = -j*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c**2 + 0*c + (0*c + 2*c - c)*(-2 + 2 + c) + 0*c**2 + 2*c**2 - c**2 + 2977*c**2 + 2874*c**2 - 4658*c**2.\nAnswer: 1196*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/6)*i**(-9\/10))\/(i**(1\/10)*i**(-14)\/i) assuming i is positive.\nAnswer: i**(79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71884, 143770, 215656, 287542, 359428, 431314?\nAnswer: 503200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -32.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -13\/301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -962*r**2 - 4. Let b(k) = 3*k. Calculate b(c(u)).\nAnswer: -2886*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 3:10 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4130 + 4141. Let y(j) = -j + 10. Let u be y(8). Let w be ((-6)\/15)\/(u\/(-5)). Solve 10*g - w = o*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/4230 and -44\/75?\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5 = -l, a = -a + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 3*g - 6. Let t be b(8). Let k = -25 - t. Let c = k + -15. Solve 4*v = 18 - c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235493.4 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -3, -16.\nAnswer: -16, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.615 and -0.042508780383.\nAnswer: -5.657508780383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 61 = 2*r + 53, 0 = -d - 4*r - 5 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 18*y + 5. Calculate h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + i + i**3 - 6*i + 0*i + 1. Suppose 4*l + 2 = -22. Let f = -2 - l. Determine a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 - o + 3575*o**2 - 3574*o**2 - 42 in the form i*o + y*o**2 + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8653, -8601, -8549, -8497?\nAnswer: -8445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52809*o**2 - 26407*o**2 - 26410*o**2 - 7 - 3 + 14.\nAnswer: -8*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2440.1 + -2440.120523. What is l rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**8\/504 + 2*q**7\/315 - q**6\/180 + 3*q**2\/2 - 2*q. Let k(w) be the first derivative of g(w). Find m, given that k(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-18) + (-5 - -11)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.23 and 91.\nAnswer: 90.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**3 - 5*d**3 + d**3)*(10 - 22 - 7) - d**3 + 3*d**3 - d**3 + (22*d**2 + 7*d**2 - 9*d**2)*(0*d + 0*d - 2*d) to k*d**2 + l + j*d + t*d**3 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6) + 2*sqrt(600)) - (-2 + -1 + sqrt(2)*1))**2.\nAnswer: -40*sqrt(2)\/7 + 4769\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 2. Let f be x(-1). Suppose 31 = f*u + 1. Calculate the least common multiple of u and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10423104 - -30?\nAnswer: 10423134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -2, 10227, 41, 0 in decreasing order.\nAnswer: 10227, 41, 40, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 275147*o - 1651066. Give j(6).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 2889539.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4983 - 4973. Solve 5*b = -j - 4, 20 = 2*b - g*j + 5*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150056 (base 8) to base 5\nAnswer: -3201134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {r: 2, b: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c11c (base 13) to base 16.\nAnswer: 29593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2 + 2 + (5 + 0 - 3)*(2*i + 1 - 1) + (-2 + 0 + 3)*(-i + 4 - 4) - i - 2*i + 5*i + (-2 + 1 - 3)*(7*i - 10*i - 5*i).\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2196485 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, 251, 0, -5, -2 in increasing order.\nAnswer: -24, -5, -2, 0, 1, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let p(h) = h + 1. Let f(r) = i(r) + 2*p(r). Suppose 3*a - 4 = 2*a. Let w be f(a). What is the highest common divisor of w and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256415994 to the nearest integer?\nAnswer: 16013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*(-6)\/((-6)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, and 2 f when four letters picked without replacement from llfllffahf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*r**3 - 2)*(3 - 3 - 5*r).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxgnnxmmgdpdppxpmgmn. Give prob of picking 1 d, 1 m, and 1 n.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 6*r + (2*r - r - 2*r)*(-1 + 0 + 3))*(85 + 11*r - 85).\nAnswer: -77*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-2 - 13*k + 14*k + 6) as b*k + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4\/26 - 868\/(-403)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + 711?\nAnswer: 709.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkgyyyykjkgg. What is prob of picking 2 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqssssqqsqqsq. Give prob of sequence sqsq.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*w - 492 + 52 = 95*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 538750713 to the nearest one hundred thousand.\nAnswer: 538800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.302 and -1591.\nAnswer: -6844.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119086674?\nAnswer: 2, 559543337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 708\/6*1\/2. Let p = 175 - 139. Let w = a - p. Solve 5*t - w = -8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 3 (b) 8.8 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.96 - -2.35. Let m = q + -0.19. Let l = m + 1.6. Which is the biggest value? (a) 3 (b) -6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 145 - 145. What is m(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.11 or 786.8?\nAnswer: 786.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - p, p = -5*r + 18. Suppose -25 = -4*v + r*q, -q = 4*v + q - 30. Let n(u) = -4 - 3 + 10*u**2 - u + u**3 - v. Determine n(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 - 5*a - 55. Determine q(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 2\/9*p**3 - 1\/12*p**4 + 3*p**2 + 0*p + 1\/180*p**6 + 0 + 0*p**5. Factor w(l).\nAnswer: 2*(l - 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489684837 a multiple of 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 - 4*w + 5. Let p be ((-35)\/(-3) + -3)*(-45)\/(-30). Let h = p - 21. Give b(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwggtztzzazazczzzzz. Give prob of picking 1 t and 1 w.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -114, -183, -212, -201, -150?\n\"Answer: 20*f**2 - 129*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 33 = q. Let d = -15 - q. Let r be (1292\/68)\/((-4 - -2)\/(-2)). Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 25 = -15*n. Suppose 3 = i, m - 2*i + n = -i. Factor 3\/2*v + 1\/2*v**2 + m.\nAnswer: v*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -263.6 and -2.\nAnswer: 527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 373883 and 2183.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 97*o**2 + 281*o + 1901. What is r(100)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 202332.\nAnswer: 1011660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n - 4. Let a be m(-3). Let f = 26 - a. Does 10 divide (f - 0)*-1 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -59, -58, -57?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 + 25 = 0. Let k be (228\/24 + -7)*-2. Sort y, k, 0.2 in descending order.\nAnswer: y, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 6*w**2 - 3*w - 43. Suppose 179 = 57*n + 302 + 219. Determine h(n).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uucu when four letters picked without replacement from uuccuu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 3 - 4 + 3 + 3 + (-1 + 5 - 3)*(-3 + 2 + 3) - 4 + 2 + 4)*(3 + 3 - 4)*(-113*s**2 + 440*s**2 + 171*s**2) to the form w*s**2 + n*s + d and give w.\nAnswer: 3984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/24 - 3*d**2. Let f(o) = -o - 7. Let r = -4134 - -4135. Calculate r*n(y) + f(y).\nAnswer: -2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2279510 by -10.\nAnswer: -227951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1584 - 1576) + (-468)\/57*(0 - -1).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4671 - 0.3671. What is the third smallest value in s, -222, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**(-17))**(-2\/15) assuming d is positive.\nAnswer: d**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - i - 80, -2*d = d - i - 60. Let x be 0\/(-1) + 9 + 2. Let o = d - x. Let f(v) = 4*v**2 - v - 1. Let t(l) = l**2. Determine o*t(m) - 2*f(m).\nAnswer: m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**3\/3 - 538. Suppose 8*z - 4*z = 16. Let g(r) = 16*r + 4. Let m(c) = 33*c + 9. Let n(t) = z*m(t) - 9*g(t). Give n(p(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322.15 - 312. Let b = y - 0.15. Let f = b + -10.000026. Round f to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2500*r - 1. Let m be g(-1). Let p(l) = -3 - 5 + m*l + 1 + 1. Let k be p(-6). Round k to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 7*y**2 + 8*y + 4. Let o be (5\/(-20))\/((-1)\/68). Let t be o\/(-2) + (-1)\/(-2). Let w be q(t). Solve w*a + a = -20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009499 is divided by 40379.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541030 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by -8?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*x - 8, 5*x = -3*c - 0*c + 21. Suppose -c*r + 27 = r. Solve -3*d + 0 + r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.93 and 0.343379.\nAnswer: 0.66272147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 1185*g**3 + 2346*g**2 + 4740*g - 9432.\nAnswer: 3*(g - 393)*(g - 2)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7693362.\nAnswer: 2, 3, 23, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + -3) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -479 or -507?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 348071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 1159.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12342 + -12379. Which is bigger: -608\/17 or a?\nAnswer: -608\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 8*z**2 + 7*z + 3. Let d = -7 + 0. Let l be k(d). Suppose 2*o = -2*c + 2, l = 4*c - 0*c + 5*o. Calculate the remainder when 3 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 5, -4, -10, -2 in descending order.\nAnswer: 52, 5, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 3, d: 5, b: 5}. Give prob of sequence xdx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16117 plus -5?\nAnswer: -16122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.4779563 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v**2 + 114*v + 40. Determine d(13).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19020, 40106, 61190, 82272, 103352, 124430, 145506?\nAnswer: 166580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -23*l - 123 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Let v(m) = -m**3 - 16*m**2 - m - 12. Let l be v(-16). What is the second derivative of -7*c + 8*c - p*c**l - 2*c**2 + 2*c**2 wrt c?\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 94987, -5 in decreasing order.\nAnswer: 94987, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 865 - -1871. Does 76 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/23 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.005 and -83952.\nAnswer: 419.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-280)*(-31)\/744*-12?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11175186.\nAnswer: 2, 3, 11, 169321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.44 smaller than -0.194308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*q + 12, 5 = 2*v + q - 1. Suppose v*l = -l - 288. Let s = -68 - l. Calculate the lowest common multiple of s and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(325) + -2 + sqrt(325))**2 + 4 + sqrt(325) + 1.\nAnswer: -35*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2\/3, 0.6, -3\/8, -12?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 14*h - 144. Let o be g(-21). Solve -12 = 3*i + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 3 + 3 + (0*d - d + 2*d)*(4 - 2 + 0) + (4730 - 1604 + 24196 + 1277 + 16990)*(0*d + 0*d - 2*d) as y + z*d and give z.\nAnswer: -91175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-4))\/((-6)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210052766?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2211381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 19*w**2 - 12*w - 51. Let z be x(18). Let g(m) = 4*m - 47. Let i be g(17). Calculate the highest common divisor of z and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/6 + h**3 - 13*h**2\/2 - h + 4. Let r be l(-5). Solve 0 = -r*v + 3*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcxxkkx. What is prob of sequence xx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:09 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1959 - -39536497?\nAnswer: 39536492.8041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 15*a + 45*a + 344 - 32*a. Calculate the remainder when 2\/(-5) + 697\/5 is divided by k(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 201 = 2*d. Suppose 5*b + 173 = 4*v, -4*v = -v + 4*b - d. Suppose 0 = -2*m - 5*s + 9, -3*m + 0*m + 2*s + v = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let g(w) be the third derivative of -4*w**5\/15 + 17*w**3\/6 - 11*w**2. Let t(n) be the first derivative of g(n). What is j(t(v))?\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3946130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*d - 9*d. Let o(t) = t**2 + 3*t - 8. Let b be o(-6). Find the common denominator of (-4511)\/1040 - d\/b and 127\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1045633 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 13. Let v be i(5). Solve -3*r = 5*m - 26, 2*m - 2*r = -m + v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuurrru. Give prob of picking 3 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84 + 23*h - 58*h + 37*h - h + 0 + 0 - 2*h + 0*h + 0*h + (0 + 3 - 4)*(h + 0 + 0) + h + 0 + 0.\nAnswer: -h + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/463 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 + 13*g**2\/2 + 13*g - 71. What is d(15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*t = -h + 1202, 0 = -4*h - 3*t + 4877. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 72. Suppose 9*f + j = 11*f. Suppose 0 = -5*p + 4*p + 6. Calculate the smallest common multiple of f and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*p**3 + 38*n**2*p**2 - 179*n*p + 65*p**3 + 4*p**2 + 12 wrt n?\nAnswer: 2*n*p**3 + 76*n*p**2 - 179*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - 390\/25. Let n = r - -23. Calculate the lowest common multiple of n and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 9*x**2 + 11*x - 7. Determine w(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/105 - 24\/(-35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -127*z + 107. Calculate the remainder when 420 is divided by c(0).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(300) + 2 + 0 - (2*sqrt(3) + -3 - sqrt(3) - (-3 + sqrt(75))**2).\nAnswer: -21*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349 + 368. Suppose 0 = -21*s + 212 + y. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -2 - 3) + 4. Let p = j + 61. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + 2\/4. Let v = -100.7 + 101.2. Which is the second smallest value? (a) v (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21667 and 76987?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (12 - 6) - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 38*p**2 + 130*p + 236. What is m(34)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 273 - 248 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/10 and -121\/4780.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 692 and 2076?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n - 4. Let r(v) = v**2 - 5*v + 3. Suppose -173 = -6*o - 155. What is o*s(h) + 4*r(h)?\nAnswer: 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 147.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6 - a + 15*a - 4. List the prime factors of p(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382589887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/4 + 59023*a**4\/4 - 413111*a**3\/4 - 59023*a**2\/4 + 103278*a = 0.\nAnswer: -1, 0, 1, 7, 59016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 128154 divided by -2067\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 - 7*m - 5. Calculate g(-4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -3. Suppose 71 + 1 = -4*z. Let f be (-34)\/(-28) + z\/(-63). Which is the second smallest value? (a) f (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1820999\/3031224 + -8\/18043. Calculate the common denominator of -85\/116 and z.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*16\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 + 0*w**3 + w**3)*(-19*w + 109 - 109)*(1 - 1 + 4*w).\nAnswer: -76*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 - 100*h - 98*h + 197*h in the form f + v*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*i**3 + 5*i**2 - 222028 wrt i?\nAnswer: 138*i**2 + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 3735811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -464*i**5 - i**3 - 196*i + 1.\nAnswer: -9280*i**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 71 + 69)*(p + p + 0*p).\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 180444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 16*m**2 - 27*m + 14. Suppose -2*l = -4*r + 48, 3*r - 6*r = l - 1. Let v be a(l). Suppose 6*b - 3 - 9 = v. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*v - 2*a + 6, -3*a = 4*v - 15. Suppose v = 8*n - 120 + 24. Solve 3*c - n = -4*l, l + 0*l = -4*c + 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 19, a: 1}. Give prob of sequence ae.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 34*m**2. Let c(o) be the second derivative of -o**5\/30 - 13*o**3 + 59*o. Let i(p) be the second derivative of c(p). Calculate l(i(g)).\nAnswer: 544*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -2*b - 2*b - 5*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(-3))))\/(n\/n**(1\/2)))**35\/((n*n**(-1)*n)**36)**(-36) assuming n is positive.\nAnswer: n**(2417\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-34))\/(-3*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 20.8. What is the smallest value in c, 4, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105637*z**2 - 516556 wrt z?\nAnswer: 211274*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/290189 less than 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*x + 2*x, q + 3*x = -4. Let n = q - -3. What is the least common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-20)*(-1740)\/2262?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78 + 252 + 339 + 279 - 130*y**4 + 5*y**2 wrt y.\nAnswer: -520*y**3 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49030100 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-8943 + 2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t = 383556 + 74020. Let b = t - -48545. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (129\/(-258))\/((-1)\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (67\/2 - -6)\/((-2)\/44). Let x = -479 - z. Let t = 612 - x. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((8\/(-18))\/((-8)\/6)). Suppose -10652 = -j*u + 16*u. Let x = u + 4980. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2448 - 76*j**2 - 2455 + 4904 - 25*j + 2*j**3 in the form r + l*j**3 + c*j + a*j**2 and give a.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 4. Let b = l - -11. Solve -5*w - 3 - b = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8562620047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 16 - (-4 - (-19 - -8) - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z - 249. Calculate d(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.06 - 0.06. Let w = 5.004 - d. What is w rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61902038 - 61902038 + 14*d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 144 = 5*b, 6*p - 2*b + 264 = 4*p. Let v = -107 + p. Let a = v - -348. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = -5*u - 1995. Let m = 135 + u. Determine w so that 3*w + 3 + 3\/4*w**m = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-44)*8\/6)\/((-69)\/(-92))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*l*x - 56*k*l - 1820*k*x**3 - 4*k wrt x.\nAnswer: -k*l - 5460*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 2, 2\/37 in descending order.\nAnswer: 16, 2, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43014 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 14 = 5*o, -o - 8 = o + 2*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-66) - (49 + 38340\/(-781))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u - 354 + 354 to the form v*u + z and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.9 + 8. Let p = l + -1.1. Which is the nearest to 2\/5? (a) -0.2 (b) p (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 319*d + 124035. Give r(-227).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 36*a**3 + 3 - 23*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, 3\/1384, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 - 2*u**2 - 4*u + 2. Let l(p) = 4*p**3 + p**2 + 3*p - 2. Give 4*l(j) + 3*o(j).\nAnswer: 4*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.14 - 33. Let i = 1 - o. Let a = -0.04 - i. What is the closest to a in 0.2, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**6*t))**25*(t*t\/t**4*t*t)\/((t*t\/t**(2\/21)*t)\/t*t) assuming t is positive.\nAnswer: t**(-3211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -62, -201, -342, -485, -630, -777, -926?\n\"Answer: -v**2 - 136*v + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**3*w**3 + p**3*w - 36*p**3 - 2*p**2*w**3 + 8*p**2 + p + 1 wrt p.\nAnswer: 90*w**3 + 6*w - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 18*f**2 - 20*f + 24. Calculate i(17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925 is divided by 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (9 + 1 - (52 + -18 - 24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40482*h**4*m - 2*h**4 - 86*h**3*m - 14088820*h**2*m + 2*h*m - 3 wrt h?\nAnswer: 971568*h*m - 48*h - 516*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/2 + 12*w**2 - 5*w\/2.\nAnswer: w*(w + 5)*(5*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.88 + -3346.\nAnswer: -3291.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254270246*h*i**2 - h + 607254005*i wrt i.\nAnswer: 508540492*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48102605.\nAnswer: 5, 17, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 256*j**2 - 70*j - 69. Calculate the remainder when t(-1) is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 - (3 + -2 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -234761 (base 8) to base 13\nAnswer: -2a773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -117, -282, -513, -810, -1173, -1602?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 - 5. Let u(n) = 10*n**2 - 7. Let m(r) = -7*f(r) + 5*u(r). Let x(y) = -23*y. Determine m(x(b)).\nAnswer: 529*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2466\/67815)\/((2\/(-40))\/(2\/(-8)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -599*n - 25*n + 1262*n + 1374*n as k*n + x and give k.\nAnswer: 2012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 0*z + 3*z - 31, -16 = b - 4*z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -3*sqrt(1008))**2 + (1*sqrt(77)*6)\/((sqrt(132)*1)\/sqrt(12)).\nAnswer: 6*sqrt(7) + 27216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 8*m + 120. Is 7 a factor of m\/(6\/(-2) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 2*r, 3*o + 4*r + 9 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3457000 to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4327869 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 34*p**2 + 22*p - 13. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a factor of 109852106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 + 545 = 2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 97*r - 99*r + 15 = 0, 5*r - 48 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -112.2. Let x = o - 3.8. Let l = -19.5 + x. Which is the biggest value? (a) -2\/11 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28536261 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3813 is divided by 380?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyu when three letters picked without replacement from {d: 2, y: 1, l: 1, u: 1, r: 1, x: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 3)*(-10)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 24992766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -21, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -90, -2, 0 in increasing order.\nAnswer: -90, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 - -325. What is the third derivative of 230*r**4 + 2*r**2 + r - 464*r**4 + t*r**6 + 234*r**4 wrt r?\nAnswer: 11400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -185, -182, -179, -176, -173?\n\"Answer: 3*x - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*f + 3*b - 126, 35 = 3*f - 4*b. Suppose f*x - 13*x = 164. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 4*q + 1. Calculate x(8).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 10*l**2 - l. Let w be s(10). Let h = 22 + w. Let p = 16 - h. Let i(n) = n - 4. What is i(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.52704 - 14.1585?\nAnswer: -31.68554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + z, -5*z + 16 = -2*g. Let p(x) = 6*x**2 + 0*x**2 - x + x**3 + g + 6*x. Suppose 4*f - 15 = 3*v, 2*v - 4*f = -0*v - 10. Calculate p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 3.6, -6.7, 115, -7, 0 in decreasing order.\nAnswer: 115, 3.6, 2, 0.4, 0, -6.7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1466.0064138 to the nearest ten.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -484740640.0000086 + 484740715. Let n = 75 - u. What is n rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 6734176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375085941 - -0.1.\nAnswer: -375085940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 2*h + 2. Let i be k(-1). Solve 4 = -i*j + 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/25)*n)\/((n\/(n**(12\/7)\/n))\/n))\/(n**9\/n**(8\/3)) assuming n is positive.\nAnswer: n**(-2467\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 131.7?\nAnswer: 131.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -460*u - 8196. What is v(-18)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 46. Let d be ((-2)\/o*2)\/(12\/(-30)). Solve d*r**2 + 1\/2*r + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s - 3*s)*(-2*s + s - 1 + 2).\nAnswer: 3*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.71 + -2.8. Let y = l + 7.09. Let t = y + -2. Sort t, -3, 0.5 in descending order.\nAnswer: t, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 3, k: 2, d: 1, p: 4}. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -188088?\nAnswer: 188104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87123001811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (1*sqrt(208)*-1)**2.\nAnswer: 4*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66538 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(100)\/sqrt(2) - (sqrt(3200) + sqrt(3200) + 1*sqrt(3200) - sqrt(3200)))\/(-6*sqrt(1210)*2).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7883037 is divided by 875891?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2287 = -k + 2857, -3*v - 25768 = -5*k. What are the prime factors of k?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 3*i**5\/100 + 11*i**4\/5 + 81*i**3\/10 - 189*i**2\/5 + 536*i. Find h, given that q(h) = 0.\nAnswer: -42, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - o - 6 = 0, 4*u + 3*o + o - 24 = 0. Suppose -6 = -6*b + u*b. Solve -5*q - 3 + b = -4*z, -4*z - 3*q - 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 63*o**2.\nAnswer: 3*o**2*(o - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*v = 20, -2*a - 3*v = 9081 - 9051 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1\/(-3) - -1. Suppose l - g - 4 = 0, 0 = -3*l - 2*g + 8 - 1. What is the highest common divisor of l and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**5 + 3*v**4 - 6*v**2 - 3. Let r(f) = -12*f**5 + 8*f**4 - 17*f**2 - 8. Let b(c) = -8*a(c) + 3*r(c). Find the third derivative of b(o) wrt o.\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21910 >= 18\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1\/(3\/9). Let n be x - 1 - 0\/5. Suppose -n*i + 15 = 3*o, -3*o - i = -0*i - 15. Which is the closest to 1\/2? (a) o (b) 1\/3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/3))**(-16)\/((o\/(o*o**0*o))\/o)**50 assuming o is positive.\nAnswer: o**(268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxooxtoxxxrp. What is prob of picking 1 o and 2 r?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - 23?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 58 = -2*k, 5*k = 172*v - 6*v - 2329 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/11 at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.51. Let x = -15.71 - t. Let w = -18 - x. What is the nearest to 0 in w, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 307352 and 2060.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 3*s. Suppose -4*d - s*g = 428, d - 2*d - 2*g = 107. Let h = d - -162. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.5 + 23.64. Let p = 101.24 + -105. Let d = p - z. Round d to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*t - 5*u - 920, -640 = -2*t - 2*u. Suppose 3*q - 2*y = -y + 925, t = q + 3*y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 4 + 1*sqrt(128) + -4))**2.\nAnswer: -1200*sqrt(2) + 3425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-416.8.\nAnswer: 208.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6510*h - 68 = 6493*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v - 0. Let a be 16*2 + v + -2. Solve -23*q**2 + 98*q**5 - 33*q**2 - 58*q**3 - 8*q - a*q**3 + 56*q**4 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 66486?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1089 and 1.\nAnswer: -1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 + x - 2. Is w(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -30.06. What is the second smallest value in b, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5234579 to the power of 1\/2, to the nearest integer?\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 times -2?\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 12 - 4 - 8.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/503000*-5)\/((-45)\/(-10)). Is 1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m + 170. Let h be o(-33). Solve 5*j = h - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -894559155.99999991 + 894559133. Let j = -23 - k. What is j rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4 - 560*h**3 - 554*h**2 + 1116*h = 0.\nAnswer: -279, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 46*d - 139. Calculate the remainder when n(52) is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31299.\nAnswer: 3, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.102 + 53.102. Let g = -53.75 - -0.25. Let x = g + t. Which is the second biggest value? (a) 1 (b) 0.7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10390933\/2 bigger than -5195468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9 + 4*o**2 + 9 + 2*o**2. Let f(r) = -5*r**2. Give q(f(b)).\nAnswer: 150*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 9*x + 2. Let v be n(9). What is the third derivative of -24*b**v - 1206*b + 1206*b + 2*b**4 + 31*b**3 wrt b?\nAnswer: 48*b + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -413. Let t = s - 181. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -1\/10, -1\/6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78\/35 + 719\/70. Let x = -79\/6 + u. Let v = 281\/190 - -2\/95. Which is the biggest value? (a) v (b) -3\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l - 11. Let r(x) = -5*x + 6. Let q(u) = 2*g(u) + 5*r(u). What is the derivative of q(m) wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 0, -5*i - 9 = -5*j + 1. Solve 2 = -n + j*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101 (base 2) in base 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4468.7736 - -4473. What is d rounded to 2 decimal places?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34738 smaller than 5851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 568710596 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = 2*h. Let s(a) = h*a + 2 - 2. Let v(p) = 17*p + 81. Let n(x) = 2*x + 9. Let c(l) = -18*n(l) + 2*v(l). What is c(s(j))?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1822 divided by -9907\nAnswer: -1822\/9907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 92606715.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, f: 5}. Give prob of sequence fwfw.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tas when three letters picked without replacement from {t: 1, a: 1, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*s = 2589 + 33 + 1418 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 542906*v**2 - 174221*v + 2?\nAnswer: 1085812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2. Let r(j) = -7*j**2 + 2*j - 7. Let o(t) = -4*h(t) - r(t). Calculate the remainder when o(-2) is divided by 2\/(-7) + (-58)\/(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -28. Sort -4, a, 6 in ascending order.\nAnswer: -4, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 75 = -147. Suppose i*l + 49798 = 20*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8 (base 14) in base 2?\nAnswer: 101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(28)\/(-2*sqrt(4)) + -4)*-5)**2.\nAnswer: 125*sqrt(7) + 2675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyllmooyollyyoyh. What is prob of sequence yyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14062 (base 7) in base 2?\nAnswer: -111011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from {q: 4, k: 1, v: 2, p: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.8 - 63. Which is the smallest value? (a) -0.1 (b) -10 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drrddddrkdddddddrddr. Give prob of sequence dkdr.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27324\/342 - (-5)\/(190\/4) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 220056992.\nAnswer: 660170976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t - 10. Calculate the remainder when l(5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2 - 8. Suppose 84 = r*w - w. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37068397*l - 74674311?\nAnswer: 37068397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2145*d - 250 = 2140*d. Calculate the least common multiple of d and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 278 = -5*f + 3*l, -4*f + l + 222 = 0. What is the greatest common divisor of 84 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -69\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*a - 1. Suppose a = 3*r - 6. Find the second derivative of -3*l**r + l**5 + 3*l**5 + 2*l wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(2*(-1)\/(-2)). Let p = -16 - -16. Solve p = 5*d + m + 7, -i = 2*m + 3*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 1. Let j be ((-2)\/q)\/((-16)\/(-80)). Suppose 3*p - 37 - 11 = 0. Calculate the highest common divisor of p and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 71*o**4 - 2 - 71*o**4 - o**5 + (-o**4 + 3*o**4 + 0*o**4)*(21*o + 16*o - 33*o).\nAnswer: 7*o**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7 = r - 49, -5*v + 10*v - 8*r + 56 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 3*q**2 - 4. Let m be (-1*1)\/(15\/270). Let f be (2 - 3)\/(6\/m). Calculate d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/11 - 68*c**2\/11 - 112*c\/11 + 512\/11 = 0 for c.\nAnswer: -32, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 14*j - 9. Give t(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/3 (c) 0.3 (d) 0 (e) -1\/29 (f) -23 (g) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26847 + -26813. Calculate the least common multiple of l and 2930.\nAnswer: 49810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 20, -5*v + 7*v + 2*f - 46 = 0. Calculate the remainder when v is divided by 22\/3 + 3\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 49681*h + 49681*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 21*u**2 + 49*u + 22. Give m(-20).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 190 (b) 0.5 (c) -1\/3 (d) 7 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6) + (-4)\/(-24). Suppose q + 4*q - 25 = v. Let u = q + -3. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*x + 4*x. Let s = x - 18. Calculate the greatest common factor of 63 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296510, -1187519, -2672534, -4751555, -7424582?\n\"Answer: -297003*n**2 + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x)\/x*x**8)**(-2)\/((x\/(x*x**0))**(3\/23))**(2\/57) assuming x is positive.\nAnswer: x**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 27 - 105 = 0. Let j = 281 - n. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**3 + c**2 + 2*c - 1. Let b(r) = -4646*r**3 - 8*r**2 + 718*r + 8. Let w(d) = b(d) + 8*j(d). Find the second derivative of w(p) wrt p.\nAnswer: -28308*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12464*v - 523 + 3964 + 1241 - 2627*v wrt v?\nAnswer: 9837","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110227 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -50546.\nAnswer: -9\/25273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6*w + 8. Suppose -2 + 6 = 2*j. Differentiate -j*d**4 - 2 + 5*d**4 - d**w with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o - 3 = -59*o. What is the tens digit of (40\/o)\/(7 + 749\/(-105))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6096 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 183348352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 119693 = 10*v - 5*t, -3*v - 3*t = -359079. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 + -958\/5. Let f = -1 - -27\/25. Let n = -31 + 34. Which is the closest to i? (a) 5 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/45 - (-14)\/35) + (-930)\/(-225). Let x be 21\/12 + 2\/8. Solve x = w*a - 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 20. What is the third smallest value in -5, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 10 = 2*z. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 16) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 - 4 = 0. Suppose 0*f + 5*y = 4*f + 18, 4*f + z = -3*y. Let r = f + 31. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**2\/2 - 2*r - 3. Let u be q(-5). Solve 3*w + 15 = 0, u*h + 4*w = w - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (938*g**3 - 1539 - 932*g**3 + 2107*g**3 + 1539 + 3073*g**3)*(1 + 2 + 0) in the form y*g**2 + t + a*g**3 + z*g and give a.\nAnswer: 15558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 at most as big as 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - a**2. Let i(j) = -7*j + 4. Let y(s) = i(s) - 6*x(s). Let q be y(3). Solve -5*w + 4 = -q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 442240*b*c**3*j**3 + 280*b*c**3*j**2 - b*c**3 + 12396*b*c**2*j + 169*c**3 wrt j.\nAnswer: 2653440*b*c**3*j + 560*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 2. Let j(w) = 63*w - 21. Give -7*a(b) - j(b).\nAnswer: -42*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 109*m + 2747. Calculate the remainder when 997 is divided by q(20).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 2*a**2 - 6*a - 8. What is d(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r + 10. Let w(f) = f**3 + 9*f**2 - 11*f - 2. Let g be w(r). Let n be (2 + -1)*(-3 + 23). Calculate the greatest common factor of g and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/28 - 34*a**3\/21 + 71*a**2\/14 - 36*a\/7 + 583. Let d(c) = 0. Calculate c.\nAnswer: -36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676372 divided by -2.\nAnswer: 338186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 200055890\nAnswer: 200055890.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*c = 0, 0 = -8*d + 2*c - 6*c - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 6146736.\nAnswer: 67614096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 21 = 3*p, 3*j + j - p - 21 = 0. Let o = 39 + -23. Calculate the remainder when o is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*i + 16. Put -4, 34, i in ascending order.\nAnswer: -4, i, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:54 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 3. Let r(c) = 2*c + 6. Let b(h) = -13*l(h) - 6*r(h). Suppose 2*q - 3*a - 12 = 4*q, -3*a = -2*q. Calculate b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(-3*(3 + -4*(-2 + sqrt(1300) + sqrt(1300)) + 1))**2 + 4).\nAnswer: -86400*sqrt(13) + 3750484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27629873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksksislsy. What is prob of picking 1 k and 1 i?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12728557*o*q**3 - 6*o*q + 11*o + 2*q**3 - 4*q - 168531 wrt q.\nAnswer: -76371342*o*q + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2713*x**3 + 113*x**2\/2 + 18*x - 6305. What is the second derivative of s(f) wrt f?\nAnswer: 16278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174)\/(-504) + (-22)\/(-8) + -3.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.043465 and 4.7.\nAnswer: 0.2042855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4 - 2900*g**3 + 73414*g**2 - 495312*g + 424800 = 0.\nAnswer: -1475, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.108953 + -0.11021337. What is d rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155*j = -5*v - 2156*j + 1, -5*v + j + 13 = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -539 + -939. Let i = -1247 - w. Let z(p) = -47*p**3 - p - 1. Calculate the remainder when i is divided by z(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378762 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 14*i + 6. Let d(l) = 27*l + 13. Let g(y) = -3*d(y) + 7*f(y). Let j be g(9). What is the greatest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199947 is divided by 66632?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 395517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6))\/3*6. Find the third derivative of -m**s - 2*m**3 + 8*m**2 - 12*m**2 wrt m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*y + 3 - 3\/2*y**2.\nAnswer: -3*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1008*x + 8077. Calculate m(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 7*l**2 + 7*l - 2. Let f be s(-6). Let o be (2\/5)\/(f\/(-20)). Sort 0, -2, o in descending order.\nAnswer: o, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*x + 62170 + 54902 = 0 for x.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-66)*-21*(-24)\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = -4 + 68. Solve -5*j + 32 = -3*n, j + f = 4*j + 2*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5590.5 - 5591. Let q = -0.03 - 0.37. Which is the nearest to 2\/19? (a) 0.3 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h - 14. Let m be s(4). Suppose 0 = 6*d - d - m. Find the common denominator of -25\/12 and ((-735)\/d)\/(-7) - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - 6*j**4 + j**4)*(-57 + 57 + 6*j)*(-5 + 4 + 3)*(5 - 13 - 6).\nAnswer: 504*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g**2 + 4*g - 5. Let h be -2 + 2*(-6)\/4. Let i be f(h). Suppose 12 = 3*j - i*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbppppppp. What is prob of sequence bb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, 1 o, and 1 a when four letters picked without replacement from gsoofba.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 3) + (-1 + 0 - -6) + 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/(w*w**(-4\/3)\/w*w))**(-2\/5) assuming w is positive.\nAnswer: w**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*g - 5. Let i be -2*(250\/50 + 30\/(-4)). Solve i - 2 = g*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919253150*m**2 + 5*m**3 + 919253150*m**2.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + -0.1. Let q(y) = -11*y**2 - 152*y + 26. Let o be q(-14). What is the closest to -5 in o, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 4*b**2 + b + 2. Let x be o(-3). Let f(w) = -2*w + 39. Let m be f(15). Suppose 2*p + 17 = -5*y, 0*p - m = -p + y. Solve -x = p*i - 0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12140.03 - 12140. Which is the third biggest value? (a) 3 (b) -9 (c) m (d) -0.7 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + m - 3*m = -6, x = 3*m - 9. Suppose x*w = w - 3. Differentiate -j - 2 - w - 1 + 4 with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 5, i: 3}. Give prob of sequence ivi.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in 4\/3, 3\/11, 1\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*q**3 + 5*i**2 - 13374*i*q + 47*q**4 + 667*q**2 wrt q?\nAnswer: -6*i**2*q + 564*q**2 + 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0*p**5 + 5\/12*p**4 + 0*p**3 + 7*p - 1\/6*p**6 + 3 + 0*p**2. Factor c(q).\nAnswer: -5*q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(36\/10))\/((-2)\/6). Suppose 5*s + b - 21 = 51, -k*b - 15 = 0. What is the highest common factor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -2 + 5\/4*o**4 - 7\/3*o**3 - 1\/20*o**5 - 2*o**2 - 118*o. Determine v(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -6*f - 262 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -140657 (base 8) to base 12\nAnswer: -2483b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2\/5))**(-7))**(2\/13)\/((a**0)**(-48)\/(((a*a*a*(a\/(a\/(a*((a**5\/a)\/a)\/a)))\/a)\/a)\/(a\/(a\/(a*a*a**(-6)*a))))) assuming a is positive.\nAnswer: a**(343\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5057.502 centimeters?\nAnswer: 50575.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*a**2*x + 2*a**2 + 2*a - 21*x + 1346 wrt x.\nAnswer: -90*a**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51397925*q*r**4 + 4298*q*r**2 - 3*q*r + 8*r - 1 wrt r?\nAnswer: 1233550200*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 7 + 0*s**4 + 0*s - 1\/27*s**6 + 1\/9*s**2 - 4\/27*s**3 + 4\/45*s**5. Factor n(m).\nAnswer: -2*m*(m - 1)**3*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 128 + 15 = 0. Let n be (0 - -1)\/((-1)\/(-2)). Suppose 0 = n*s - 49 - m. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -34.34\nAnswer: 171.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 4*a - 102 + 82, -5*h + 9 = a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49\/5 of a tonne?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -1030?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 4 (c) 173 (d) 1 (e) -0.2 (f) -11\/16 (g) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3944221.5\nAnswer: -3944222.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y - 16. Suppose -300 = -51*q + 56*q. Let u be (q\/8 - -6)*4\/(-3). What is the nearest to -2\/5 in u, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 3)*(4*s + 0*s - 5*s) + 0*s + 6*s - 2*s)*(1 + 3 - 3 + (-2 - 3 + 6)*(4 - 2 + 2)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855934198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -89*d + 21. Let i be n(-1). Let p = i - 803\/7. Find the common denominator of p and (25\/4)\/(4 - 2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-98) - 5342\/(-14). Suppose -3*d + f = 91. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 + 26*q**3\/3 - 137*q**2\/3 - 476*q\/3 + 196.\nAnswer: -(q - 14)**2*(q - 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 117*d + 45 + d**2 - 232*d + d**2 + 90*d - d**2. What is w(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22892, 92777, 209250, 372311, 581960?\nAnswer: 838197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 749. Is q(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -1484b?\nAnswer: 14850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440) - (sqrt(440) - -1*sqrt(440) - sqrt(440))*-6)\/(sqrt(176)*3))\/((sqrt(800) + -5*sqrt(800)*-1)*6))**2.\nAnswer: 49\/3732480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -643 - 272 = u. Let w be (2 - (-9)\/(-5)) + 213\/u. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 - 14 = 0. Let s = 15 + z. Solve s = t - 2*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318807 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w - 2*w. What is the second derivative of -l**2 + 0*l**2 + 5*l - 3*l**w - 4*l wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.417 times 1393\nAnswer: -3366.881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.65 to 1 decimal place.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1480939 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*w**4 + 4*w**4 + 0 - 5 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1539 * -0.03.\nAnswer: -0.004617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7785, 31015, 69725, 123909, 193561, 278675, 379245, 495265?\nAnswer: 626729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v + v - 1560. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -1020, -37, -4\/5.\nAnswer: -1020, -37, -4, -4\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 4*r**2 + r - 2. Let n be i(0). What is the closest to n in -4\/7, -1, 92?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 21 = 6*b + 4*c, -36*b + 20*b - 3*c - 4 - 10 = -18*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 5*a - 4*s = 13, 0 = -2*a + 5*s + 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4683228 divided by -748.\nAnswer: 6261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10274, 20596, 30960, 41366?\nAnswer: 51814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.15 (c) -2 (d) 359\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4366, 4360, 4344, 4312, 4258, 4176?\nAnswer: 4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2165, 1\/382, 0.1 in descending order.\nAnswer: 0.1, 1\/382, -2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0 + 0 - 2)*(0*f + 0*f + f + (-2*f + 4*f - 4*f)*(1 - 4 + 1)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 2*b - 20. Let l = -61 - -46. Is g(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/w**(-7\/3))\/w)*w**(-17)*(w*w*w**(1\/2)*w)\/(w*(w\/w**(1\/6))\/w*w))**(-2\/39) assuming w is positive.\nAnswer: w**(106\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w*w**(-3\/2)*(w*w**(2\/59))\/w*w*w*w**(-11))**48 assuming w is positive.\nAnswer: w**(-1320\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide (-203)\/((-11)\/242*(35\/(-10) + 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -18. Suppose -7*f + 16 = -c*f. Let g(p) = -p - 4. Give g(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*h - 204*h = -4633. Calculate the remainder when 6353 is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11212112 (base 3) to base 9\nAnswer: -4775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2468*i - 17280. Determine u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -45*q**3 + 77*q - 1. Let i(d) = -56*d**3 + 77*d - 3. Calculate 5*b(k) - 4*i(k).\nAnswer: -k**3 + 77*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 3*o - 4*o)*(-3*o - 3*o + 3*o) + (2*o - 2*o - o)*(4*o - 2*o + 0*o) as r*o**2 + z + m*o and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57802?\nAnswer: 2, 28901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.472 rounded to zero dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3512 - s**2 - 3512.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 138*x**3 - 2*x**2 + 2. Is h(1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23601664 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1 - 1 - 2*n. Let i(w) = -2*w. Let v(g) = -g**2 - 11*g + 10. Let k be v(-12). Let u be 39\/26 + 15\/k. Calculate u*a(y) + 7*i(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -8. Let s = -22 + m. Let t be (-28)\/(-13) + 4\/s. Is t < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021704323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*o + 21, o + 0*o - 2*q = 1. Suppose -10 = -2*l - m, 0 = l - 4*m + 6*m + 1. Calculate the least common multiple of l and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4 + u**3 + 7*u - u**3 - 2. Find the first derivative of t(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 9666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7*p\/(p**(-3\/10)\/p))\/((p\/(p**(1\/4)*p*p))\/(p*p**(-5)*p)))**20 assuming p is positive.\nAnswer: p**151","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 8836168.\nAnswer: 1\/4418084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21085882267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161831?\nAnswer: 161831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 0 - 0 - 0. Let k(t) = 1 + t**2 + t - 4 - 3*t + z. Give k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 2:43 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56808579, -56808576, -56808569, -56808558, -56808543?\n\"Answer: 2*r**2 - 3*r - 56808578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.478636 times -2\nAnswer: 0.957272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4748 + 9862.6. Round o to the nearest ten.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*m - 272, -m - 3*q = 2*m - 228. Let f = 215 + m. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/35 - 80\/112)\/3. Determine t so that -1\/3*t**2 - d*t**3 + 1\/3*t + 0 + 1\/3*t**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*h - 190*h - 21 = 0. Let k be 20\/50 - 4\/10. Let t = -17\/95 + -8\/19. Which is the nearest to k? (a) h (b) t (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7765154 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 1, 2*p - 2 = 4*v. Let a be (-1)\/3 + 4\/12. Suppose -p*k + 4*k - 689 = a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*t**3 - t**3 - 2*t**3.\nAnswer: -61*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trthrhrrrrtjttttat. Give prob of sequence hrt.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = 189, p + 64 = -4*x - 2*p + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28\/140*(7 - (-126 + 8))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864794237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let a be k\/((-1 + 3)\/(-2)). Let n = 6 + a. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 3*f = -5*f - 72, 0*n + f - 5 = -3*n - 18 - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 15 = 6*f, 27 = -5*h - f. Let o(r) = r + 6. Let w be o(-6). Suppose s = 3*c + 13, -46*s + 25 = -42*s - 3*c. Put s, w, h in increasing order.\nAnswer: h, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1293 + 5\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3818434, 3818433, 3818432, 3818431?\nAnswer: 3818430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 - 11*b**2 - 21*b**2. Let q(h) = 4*h. Determine q(g(n)).\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + (-1)\/(-4). Suppose -3*m - m + 44 = i. Calculate the remainder when m is divided by ((-2975)\/(-51) - 58)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146846 and 10489.\nAnswer: 146846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*f**5 + (4*f**2 - 3*f + 3*f)*(-f + 2*f**3 + f).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3956401403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5.1. Let q = 0 + p. What is the biggest value in 1\/2, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 - 64 - 38) + 89?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*z + 2*z - 17, 0 = -2*z - 4*j - 14. Solve -1 - z = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253918*c*i**2 - 11*c + 5*i**2 + 3506*i wrt i.\nAnswer: 507836*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 166936962?\nAnswer: -166936964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 13*s**2 - 4*s - 1. Let h = 4350 + -4363. Give m(h).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 4*h)*(31*h**2 + 35*h**2 + 2 - 5*h - 62*h**2 - h**3) + 5*h**4 - 3*h**4 + 0*h**4.\nAnswer: h**4 + 4*h**3 - 5*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 7*i + 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 12) to base 16\nAnswer: -12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2\/7 (c) 2 (d) -0.1 (e) -3 (f) 4 (g) 310\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3. Let u = x + -1.5. Let r = -41\/105 - -4\/21. Which is the smallest value? (a) r (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**2*o**2 + 211*g**2*o - 35*o**2 wrt o.\nAnswer: 4*g**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 + 2. Suppose -2 = 4*n + 2*t - 16, n - 5*t - 9 = 0. List the prime factors of b(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 4.98. Suppose -2*p - g = -3*g - 10, -5*g + 35 = p. Suppose 0 = 2*i + 3*i - p. What is the second smallest value in j, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 0 - (-6 + (0 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941 is divided by 221.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4881056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1a0b124 (base 14) to base 6\nAnswer: 1141151004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1602 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1926154 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35422274*q - 25604627?\nAnswer: 35422274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12693.\nAnswer: 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = -27*w + 83*w - 36*w - 17, 5*f - 83 = 2*f + 4*w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1455093143 rounded to three decimal places?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 10. Suppose -4*f + 363 = -2*v + 5*v, -425 = -y*f + 2*v. What is the remainder when f is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -422 - 93728.\nAnswer: -94150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 2}. What is prob of sequence qv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = 55 + 17 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + -10 + 0 - 8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54225 and 6075?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) - ((sqrt(153)*-1 - sqrt(153)) + sqrt(153) + sqrt(153))*-3)*4)\/((sqrt(72)*1*3 + sqrt(72))\/(-3*sqrt(128))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/41))\/(k**12*k) assuming k is positive.\nAnswer: k**(-450\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2 = -u, 6*u = 5*u - 2*d + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3861531.\nAnswer: 3, 503, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.2309 minutes in nanoseconds?\nAnswer: 12553854000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297)*-1 + sqrt(33) + sqrt(33) + sqrt(297)*-1)\/(-2*sqrt(297)\/sqrt(3)))**2*-5.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -46*q**2 + 472*q + 1899. Give x(-4).\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 45.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37045462.\nAnswer: 2, 3041, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1019, 1864, 2709, 3554, 4399, 5244?\nAnswer: 6089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*z + 108 = -z, -54358*p = -54356*p - 4*z - 74 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118396875, 118396876, 118396877, 118396878?\nAnswer: 118396879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -6aac31?\nAnswer: -6aac33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1046 - -1056. Solve -s*t + 75 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 15 = 0. Calculate the remainder when 30 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*i = 32, 4*y - 5*i = -y + 20. Let g = -4 + y. Let a be (2 + -1)\/(g - -1). Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*u**2 - 16681 + 16681.\nAnswer: 113*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = -6*p. Let f = -10 + 13. Let b be (-5 + f)*p\/(-6). Put -3, b, 3 in ascending order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/359030 and 75\/2349082.\nAnswer: 82217870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Let k(j) be the third derivative of -j**6\/720 - j**4\/6 + 2*j**2. Let l(p) be the second derivative of k(p). Calculate l(d(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -10. Let u = 536 - 518. Let l be u\/(-72) + (-3)\/6. What is the nearest to l in -0.2, -3, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565262404 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -60*n + 507. Let q be y(6). Solve -q*j - 18 = -150*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 765\/143 or 6?\nAnswer: 765\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 97 = -8. Let v = 2285 + -2283. Let n = -1 - -3. Solve -5*a - b = -q, -3*q + n*a + 13 = v*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 5*s**3\/6 + 3*s**2 - 7*s. Let m(j) = -j - 1. Determine d(p) + 4*m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 112. Let x(c) = -16. Let p(s) = 3*j(s) - 21*x(s). Let m(i) = 8*i**2. Give p(m(g)).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f - 20*f + 4*f - 1 - 14. Determine r(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -86, -155, -250, -377, -542, -751?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16d (base 16) in base 13?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of (42 + 0)*(11 + 13340\/140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:35 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -1 (c) 41 (d) -0.4 (e) -0.2 (f) 21.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -68. Solve -4*y + 9 = 4*d + 45, -5*y = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = -3*w + 307, -3*w - 47 = -2*w - 3*c + 6*c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 9. Suppose 2*i + 2*f - 414 = q, -i + 4*f + 390 = i. Suppose 0 = -3*b + i - 35. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15585, 31624, 47663, 63702, 79741, 95780?\nAnswer: 111819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 197279, 2\/17, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6. Let m = -487 + 25. Let y be m\/56*16\/(-3). Suppose 0 = 4*j + 4*z + y, 0*z + 5 = -z. Let x(n) = -2*n**2 - 13. Calculate j*x(k) - 13*g(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 5*r - 6*r - 11*r to the form n*r + z and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:58 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 573 and 1146?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2524873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1134.2 - 1134.5. Which is the third smallest value? (a) -0.5 (b) 1\/5 (c) 7\/4 (d) v (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b - 10. Let h be n(-3). Suppose 2*d + a = 428, -4*d + 3*a = h*a - 868. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 0*j + 5*j + (4 + 0 - 5)*(-4 + 2*j + 4) + (25 - 25 + 18*j)*(3 + 1 - 7) to w + i*j and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -2*d**6\/3 + 316*d**5\/5 - 1932*d**4 + 40768*d**3\/3 + 219520*d**2 - 461. Factor h(q).\nAnswer: -4*q*(q - 28)**3*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 1 - (-15 + (-2)\/(-1)). Let h be (-22)\/(-20)*34\/x - 2. What is z in -1\/5*z**4 + 1\/5*z**5 - h*z**3 + 0*z + 1\/5*z**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54904 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6 + 5*i - 4*i**2 - 5*i.\nAnswer: -4*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10000000000101010110 (base 2) to base 15\nAnswer: a56a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 15 = -3*k. Let n be 6 - k - (-4)\/1. Let c(g) = -4*g - 1. Let t(l) = 5 - 2 - 2 + 3*l. Determine n*t(s) + 4*c(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 13*s**2 + 5*s - 3. Let a be f(-6). Solve -5*c = 5*u + 10, 5*c = 2*c + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -5593*s**6\/30 - s**5\/20 + 250*s**4\/3 + 11822*s. What is the third derivative of o(i) wrt i?\nAnswer: -134232*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-895.136.\nAnswer: 4475.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 5*u + 6*u)*(1 - 5*u - 1) + (-4*u + 3*u + 2*u)*(-4 + 4 + 2*u) + 0*u**2 + u**2 + u**2.\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -8. Let t(o) = -o + 10*o**2 + 2*o**2 - o - 6*o**2. Is t(h) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n*v + n - 7*v - 22 wrt n?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 692, 1024, 1356, 1688?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5117*h + 2424*h + 976*h - 1572*h.\nAnswer: 6945*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 9 = -36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -5, -65 in ascending order.\nAnswer: -65, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/(-5))*-5. Let y(h) = 176*h**2 - 5*h + 4. Let x = -80 + 81. Let l be y(x). Calculate the highest common factor of l and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*n + 12 = 7*n, -2*n - 6 = -r. Let c = 3 - -10. What is the lowest common multiple of r and c?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - d**2 + 0*d**2 + (47*d - 217*d - 496*d)*(d + 0*d + 0*d).\nAnswer: -667*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-165)\/10*(-64)\/6. Let u be ((-339)\/9 - 1)*(-3)\/(-1). Let l = i + u. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 55*j**3 + 3*j**2 + 72. Let u(l) = l**3 + 2*l**2. Let f(a) = -p(a) + 2*u(a). Find the third derivative of f(b) wrt b.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 16. Let c be h(0). Suppose -1033 = -4*f - 5*t, t = -4*f + 6*t + 983. Let l = -212 + f. Calculate the highest common factor of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16304227, 65216933, 146738111, 260867761?\nAnswer: 407605883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11228 = 10*n - 8022. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.24 + 2.1. Let x = k + 4.14. Is 0.3 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.194 + 96.194. Let s = -49.47911 + -46.51975. Let u = s + d. What is u rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*w - 62*w - 51*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-14)\/((-4)\/(-2)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-1\/5)*c\/c**(-2\/5) assuming c is positive.\nAnswer: c**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -15. Suppose -11*b = -20*b + 297. What is the remainder when b is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + 111101110001010111110000?\nAnswer: 111101110001011000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74058939 and -1157.\nAnswer: 74057782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 10 = -2*d, -28*o + 23*o + d = -13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 680 and 5889140?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 149 = 121. Let x be (-2 + 2\/3)*j\/(-150). What is the second biggest value in x, -3\/2, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 24*j**2 + 44*j - 24 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 3*h + h - 7*h as i + j*h and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 9 (c) 0 (d) -2 (e) 5\/2 (f) 20\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 10*m. Let w be d(9). Is 8667\/w*1\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*z + 61*z**2 + 0*z as v*z**2 + k*z + w and give v.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -843939*m**3 - 2094 + 845929*m**3 - 1147 - 2*m with respect to m.\nAnswer: 5970*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 12*g - 87. Suppose -27*q = -31*q - 68. Let l be b(q). Let c(a) = 2*a**3 - 3*a + 2. Let m(f) = 1. Give l*m(k) + c(k).\nAnswer: 2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -225*n**3 - 2*n**2 - 3*n - 2. Let u be p(-1). Suppose -5*r = -3*v + 18180, -3*v - r + 18422 = u. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*h - 3 + 2 + 551*h + 152*h.\nAnswer: 1158*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let m(w) = 3*w + 2*w - 2*w - 2*w. Determine m(q(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 - 18*t**3 - 20*t**2 + 18*t + 19 = 0.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:57 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o + 3*o - 5*o)*(0*o + 2*o - o) - 34*o + 34*o + 2*o**2 + 3*o**2 + 4 - 4 as t*o + b + p*o**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 28\/32*134 - (-2)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from wxxaxwulllx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:40 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 8 + 4*j - 3*j - 2*j + 4181*j**3 - 3*j.\nAnswer: 4181*j**3 + 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.239 - -9.239. Which is the second biggest value? (a) -1 (b) o (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2806 and 1375760755?\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqxnbqg. What is prob of picking 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/27981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136 + -121. Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -122749c - -1?\nAnswer: -122749b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-42))\/((-15)\/120)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*o + 1 - 1 + (-14430 + 14430 - 63*o)*(-3 + 1 + 0) to the form y + k*o and give k.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 13772?\nAnswer: 344300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 10 = 0. Suppose 0*u - 6 = -2*u - h*g, 2*u + 9 = g. Suppose 0 = -5*p + 3*p - 6. Is p bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2115, 8904, 20217, 36048, 56391?\n\"Answer: -z**3 + 2268*z**2 - 8*z - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8145, 16508, 24901, 33324, 41777, 50260, 58773?\nAnswer: 67316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 35742 = 525*c for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/109, 1, 2 in increasing order.\nAnswer: -0.3, -2\/109, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 152 = -h. Suppose -4*a + 68 = -h. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 3*h + 120 = 0. Let g = 35 + h. Suppose g*a - 285 = f, -4*a - 5*f = -2*f - 228. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1082 + 2514*a**2 + a - 1951*a**2 - 1329*a**2 wrt a?\nAnswer: -1532*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*j + 5*t, -20 = -5*j - 4*t + 14. Suppose -m + 3*z = 5, -5*z + 9 = -j. Put -11, 3\/5, m in decreasing order.\nAnswer: m, 3\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 47.76.\nAnswer: -47.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*f - 10 = 104, 5*i - 494 = -4*f. Let l = i + -97. Solve -l*g + 4*x = 20, 8*g - 20 = 3*g - 4*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*1 + sqrt(304)*4 - -5*(sqrt(95)\/sqrt(5) + -3))**2.\nAnswer: -660*sqrt(19) + 9421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75*d**2 + 73*d**2 - 1 + 64*d**2 - 71*d**2 + (-3*d + d + 3*d)*(-5*d + 6 - 6))*(0*d - d + 3*d) to v*d**2 + q + c*d**3 + a*d and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48\/5*80\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 - d**2 + d**2 + (-2*d + 6*d - 2*d)*(3*d - d - 3*d))*(0*d - 16*d + 133*d)*(-1 + 6 - 4) to n*d**3 + f*d + q*d**2 + l and give n.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:05 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -551*x + 5515. Let i be g(10). Solve -3 - 10 = i*u + 3*s, -s + 29 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 6b4a84?\nAnswer: 6b4a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 187*x**2 + 2095*x + 5005. Let u(y) = -y**3 + y**2 - y + 1. Let i(v) = -m(v) + 5*u(v). Suppose i(p) = 0. What is p?\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-5) + 1 - 0. Let y = -10 + 6. Let p(m) = -m**2 - 5*m. Let n be p(y). Which is the second biggest value? (a) i (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1201266\/7 and -171609 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7086 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: Put 4, -1, -198233 in decreasing order.\nAnswer: 4, -1, -198233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/3 + 121*r**3\/3 + 1240*r**2 + 1200*r = 0. What is r?\nAnswer: -60, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 454127665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118160594 + 584.6.\nAnswer: -118160009.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 + 14*f - 10. Let a be s(7). What is the derivative of 15 + a + 53*y**2 - 78 wrt y?\nAnswer: 106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - o - 1. Let l(i) = 0 + 10*i**2 + 2 - 9*i**2 + 2*i**2 + 2*i - 5*i**3. What is -3*d(n) - l(n)?\nAnswer: 2*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*u - 677 - 219 - 728. Solve -43*k = -u*k - 39 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405468.\nAnswer: 2, 3, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.503 * 5.\nAnswer: -2.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2. Let p be u(7). Suppose 3*c = 5*k - 0*c - 33, 25 = 5*k + 5*c. Suppose 3*w - k*w = -p. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let a be c(-2). Suppose a*f + 3*g - 38 = 7, -2*g - 30 = -4*f. Suppose -2*x + 7*x + 10 = 0. Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 10 = 34. Let x be 2\/3 - q\/(-9). Suppose x = -5*u + 97. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 2)*(-7 - -4). Suppose x*j + 5*u = 357, -3*u + 277 = 2*j + 39. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/2704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/9*3\/(-2). Let t(z) = -z**3 + 2*z**2 - 3*z + 1. Let w be t(l). Let i(k) = k**3 + 5*k**2 + 7. What is the units digit of i(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, -150, -221, -290, -357, -422, -485?\n\"Answer: z**2 - 76*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - -121.7?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 444 + -381.1. Let f = 62.88738 - h. What is f rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1052*h - 1008*h - 1002*h + 1 - 1 + 2963*h.\nAnswer: -99*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 717 + 405. Suppose w + 3*g = q, -w + 5*g - 2*g + 1122 = 0. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -53 (c) -9.11 (d) 0.11 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*15*6\/(-324)*6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9328604 divided by -4\nAnswer: 2332151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 144*o**2 - 295*o + 701. Give n(-74).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 9*g**2 + 4*g - 2. Let s(h) = -h**2 + h. Let j be ((-112)\/(-63))\/8 + (-15)\/(1215\/(-306)). Give j*s(b) - y(b).\nAnswer: -3*b**3 + 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5301)\/76)\/(-93) + 1*(-23)\/4. Put 1, 31, z, -12 in descending order.\nAnswer: 31, 1, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((8 - 1 - (-11 + 17)) + -19).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -924 * 0.1.\nAnswer: -92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yppp when four letters picked without replacement from pypypyyygpyykgppqy?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(648))**2*-4.\nAnswer: -2656 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -20, -5, 0.053274?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.277 and 421038.\nAnswer: 421075.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-105)\/2)\/5*392\/294)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 3, -10 in increasing order.\nAnswer: -81, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/3 - 428*n**4 + 76930*n**3\/3 - 292820*n**2 - 6116288*n\/3 - 1719872 = 0.\nAnswer: -698, -4, -1, 28, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2664 rounded to two dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 363851617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 464, 459, 454, 449, 444, 439?\n\"Answer: -5*z + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 640631430 divided by 8649\nAnswer: 74070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -982 - -1023. Calculate the lowest common multiple of x and 87.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m. Let x(r) = -r. Let a(k) = g(k) + 4*x(k). Suppose 2*q + 4 = -5*i - 17, 0 = q + 3*i + 13. Let f(z) = 0 + q*z**2 + 0. Determine a(f(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 416*l + 35760. What is g(60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*z - 83 + 289. Sort 0, 1, z, 8, 5 in descending order.\nAnswer: 8, 5, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -900953?\nAnswer: 900948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 = -5*i, -3 + 12 = 5*g + i. Suppose -5*j - 3 - g = 0. Let a be (-3)\/j*(-3 + 4). Let v(o) = 3*o. Calculate v(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -u + 2*y, 2*u - 2*y - 77 = 29. Let v = u + -42. Solve 0 = 3*c - c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/19 - 30*x**4\/19 - 58*x**3\/19 + 374*x**2\/19 - 444*x\/19 + 160\/19 = 0.\nAnswer: -10, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26229.63 tonnes in milligrams?\nAnswer: 26229630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.36?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**2 + 3*l**2 + 2*l**2 + (-5 + 3 + 3)*((5*l**2 - 5*l**2 + l**2)*(5 - 8 - 9) - 48*l**2 - 2078 + 2078) to the form c*l + k*l**2 + j and give k.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1585743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 + -16 + (18 - 29)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b - -313?\nAnswer: 37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 754 - 750. Solve 6 = -2*d + 2*o, o + 27 = -y*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(133)*2)\/sqrt(7) - (sqrt(19) + (sqrt(19) + -3)*-6)) + 5)**2.\nAnswer: -6650*sqrt(19) + 32300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(-6 - 2 - 3) + 2 - 2 - 2*g - g + 6*g - 2*g + 4*g + 0*g - 5*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6274458?\nAnswer: 2, 3, 53, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1623*g + 1855 - 385 = 1378*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-3)\/(-16)*(56 + -78)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1269*k*o**3*t + k - 124*o**3 wrt t?\nAnswer: 1269*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 8*f**2 - 16*f + 7. What are the prime factors of c(-9)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -7*i + 10*i + 70, -5*c = -i - 336. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 58 (b) -16971 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 7104054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*v - 4*v + 5, v = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 19667*q**2. Let x(h) = -2*h. What is k(x(y))?\nAnswer: 78668*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 3. Let u be r(-4). Let o = -2 + 1. Let w = o + u. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/31)\/((140\/259)\/(-5))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -150*h - 1. Let q(y) = y. What is q(d(i))?\nAnswer: -150*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211.6 - -212. Let t = 6 - 6.1. What is the biggest value in t, k, -4\/5, -3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/7380 and -13\/4206780.\nAnswer: 172477980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from lhllzllhrhrdprdhd?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:21 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (506\/(-23))\/(2\/(-12)). What is the second derivative of -118*d - 1 + 238*d + 2 - a*d**5 - 109*d wrt d?\nAnswer: -2640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0307 from 0.00947714.\nAnswer: -0.02122286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, -3, -5, -2 in descending order.\nAnswer: 203, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = -4. Find the common denominator of (-228)\/g*(-6)\/120 and 4\/48 + 1\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.4 + -21.3. Let w = -33 - r. Sort -1, w, -1\/7.\nAnswer: -1, w, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -526660 (base 7) in base 6?\nAnswer: -1542211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 - 6*i + 6. Calculate the lowest common multiple of (-1017)\/226*8*(-15)\/18 and q(4).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.4, -5, 2\/1715, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443 a factor of 122905775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc - -15?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 30. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let a = -108 - -134. Let m(p) = -2*p**2 + 52*p + 1. Calculate the smallest common multiple of m(a) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184946 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0135926813 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -29. Solve -3 = 4*d + k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (869 - 869 - 465*t)*(-1 - 3*t + t + 4*t) - t**2 - 2*t + 2*t.\nAnswer: -931*t**2 + 465*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s - 1. Let p(q) be the first derivative of -9 + 1\/6*q**3 - 5*q + 0*q**2. Let w(m) be the first derivative of p(m). Determine i(g) + 6*w(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (0 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 2, -335, -5, 42 in descending order.\nAnswer: 42, 5, 3, 2, -5, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2)\/j)**(3\/26)*(j\/(((j\/(j\/(j**(-2\/11)*j)))\/j*j)\/j))\/(j**(-7\/2)\/j) assuming j is positive.\nAnswer: j**(1559\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 10772?\nAnswer: 10772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**8\/2520 + r**7\/630 + r**6\/360 - r**5\/30 - 3*r**2. Let a(k) be the third derivative of j(k). What is b in a(b) = 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x + 1 + 6*x + 0 - 20*x as u*x + v and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p + 841. Give x(-57).\nAnswer: 1297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 5. Let t(l) be the second derivative of l**4\/6 - l**3 + 4*l + 428. Calculate t(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*q + 2*l, 4*q - 5*l - 9 = 7*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7112223 take away 0.56?\nAnswer: -7112223.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*q + c, -4*q - 2*c = -5 - 13. Solve 2*b - 6 = -q*g + 4, -5*b = -3*g - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 246*b**5 - 354*b + 354*b + (-3*b + 5*b - b)*(5*b**4 - 5*b**4 - b**4) + b**5 - b**5 - 2*b**5.\nAnswer: 243*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-266)\/126 - (-2)\/6. Sort j, -3, -0.5, 1.\nAnswer: -3, j, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 19 + -4 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 111, 308, 449, 534, 563, 536?\n\"Answer: -28*j**2 + 281*j - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1541 and 65325.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 + v - 1. Let w be j(4). Suppose -12 = -w*s + s. What is the remainder when 100\/s*6\/4 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.916 + -49.416. Let c = -2.7 + 3. What is the second biggest value in -9\/8, q, -7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0 = 4. Let c(n) = -n**2 - 9*n + 5. Let h be c(-9). Suppose h*d = 3*d - 4. Is x less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-60)*(-2964)\/(-190)?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1431059\/430 + 3328. Calculate the common denominator of -1\/1935 and o.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -469.1 - -401. Let z = 72.1 + u. Which is the nearest to -1? (a) -0.4 (b) z (c) -1\/4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 397 = 91. Calculate the lowest common multiple of 2 and f.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + -61. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 54. Let v(t) = -t**2 - 15*t - 31. Let c be v(-13). Let s = c + f. What is the least common multiple of s and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -7*n**4\/6 + 40351*n**3\/2 - 501329*n**2\/3 + 368752*n - 276560\/3 = 0.\nAnswer: 2\/7, 4, 17285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 3*i + 2*i - 45880 - 20*i**3.\nAnswer: -20*i**3 - 45880","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(-3)\/2*(-2528)\/(-48). Let k = v + -395. Suppose -8 - 1 = -3*o. Solve k*i + o = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a = -13*a + 54 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17115139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((22\/2)\/(3\/3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose 3*h - 475 = -2*h. Suppose k*j = 7*j - h. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 682 - 716 - (-10 + -114)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:54 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 18*c - 30 = 0, 5*x = 2*x - 6*c + 7*c - 20 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*z**3 - 705*z**3 + 93*z**3 + 163*z**3.\nAnswer: -235*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 3*q. Suppose -9*g + 10*g - 2 = q. Let l(k) = k**2 + k - 1. Determine l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 6*x + 4*x)*(83*x**4 + 30*x**4 + 96*x**4 + 59*x**4).\nAnswer: -268*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 654362 and -0.1.\nAnswer: -65436.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let v be (4 - -1)\/(1\/l). Suppose -4*s - 25 = -v*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, 5\/2, -547\/2?\nAnswer: -547\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 greater than 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:30 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 equal to 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftfftff. Give prob of picking 1 f and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 11*u + 8. Let t be w(7). Calculate the greatest common factor of 29 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 6)*(-4)\/(-8). Let b be (-3 + -2 + l)*0. Suppose 12*u - 9*u - 9 = b. Solve -u*q - 1 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001021202121 - -21?\nAnswer: -11001021202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*160\/(-112)*((-3)\/(-4))\/((-72)\/84).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:18 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*k + 3397, 5*w - 5*k - 1708 = 1692. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(80) + ((-3*sqrt(80) - sqrt(80))**2 - sqrt(80)).\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 2. Let k be a(3). Let u = -7 - k. Suppose 2*y = u*l + 2 - 6, y - 13 = -l. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -270109 and 5.\nAnswer: -1350545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -1532*x**6\/3 + 705*x**3 - 2705. What is the third derivative of r(v) wrt v?\nAnswer: -183840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 4*z + 4*z)*(6*z - 5*z + z) - 7*z - 2*z**2 + 7*z - 31*z**2 + 4*z**2 - 2*z**2 to k + i*z**2 + o*z and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1375)\/(-625)*(-120)\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + o**3 + 0*o + 2*o**3 - 4*o**3 + 4*o**3 + (2*o + 0*o - 3*o)*(-o + o - 2*o**2) + 0 + o**3 + 0 + (5*o - 2*o**2 - 5*o)*(o - 1 + 1).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/(-714) + (-36)\/204.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.17529t in grams?\nAnswer: 37175290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320142 - 133274 = 5966*p for p.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -235\/6. Let p = -135 - -135.2. Are t and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4, 991, -12, 7 in decreasing order.\nAnswer: 991, 7, 4, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n**3 + 2*n**2 + 26*n + 1. Let a(g) = 24*g - 76. Let q be a(3). What is the units digit of w(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1166 and 39\/212?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -325519 divided by -1?\nAnswer: 325519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 16398.053\nAnswer: 3279.6106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9) - -2)*168\/210?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1139052 + -5?\nAnswer: 1139047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 632, 1274, 1916, 2558?\n\"Answer: 642*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05232 + 0.05232. Which is smaller: j or 0.554?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -8*b + 132. Let g = -40 + b. Let t(m) = -6*m**2 + m + 3. Suppose -7 - 2 = -3*f. Let i(q) = 5*q**2 - q - 3. Determine f*t(z) + g*i(z).\nAnswer: 2*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 0. Let k = -0.5 - -0.5. Let d = -0.2 - k. Which is bigger: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 5. Suppose 0 = h - 4 - m. Let z be (-6)\/(-27) + (-133)\/(-9). Solve -h*u = -0*u - z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - 2*x**2 + x**2 - 2 - 3*x**2 + 2 + (-3 + 3 + 2*x)*(4*x + 3*x - 5*x) + 1826*x**2 - 4212*x**2 + 1881*x**2 to u*x**2 + m + z*x and give u.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -18 + 8*i**2 + 35 - 24. Let a(t) = -17*t**2 - t + 15. Let x(v) = 6*a(v) + 13*f(v). List the prime factors of x(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 7, -26, -0.14, -2\/19?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -10264172?\nAnswer: -10264215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4\/7, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8477537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2)*z)\/(z\/(z\/z**(-15))))\/(z\/z**(-2)*z*z*z**6*z) assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 - 5*k**2 - 68*k + 71. Let z be d(1). Solve -5*y - 16 = -2*b - 29, 0 = -3*y + z*b + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63749191 to the nearest integer?\nAnswer: 7984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28704 + 8151933\/284. What is the common denominator of j and 19\/213?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*1 - sqrt(84)*-2*-3)\/(sqrt(192) + (sqrt(192) + (sqrt(192)*-4 + sqrt(192))*6 - sqrt(192)) - sqrt(192)) + -3.\nAnswer: -3 + sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 421*b**5 - 212*b**5 + 36*b**2 + 28*b**4 + 60*b**3 - 205*b**5.\nAnswer: 4*b**2*(b + 1)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 2\/5, -0.6, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-152)\/48 + 1\/6. Let t be (6\/(-3))\/(d\/(-6)). What is the closest to 1 in t, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8*n - n + 0.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -29\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17746 is divided by 8869.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1156 + -11.0066. Round i to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:53 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/3 - (-1 + 12\/18). Let u be d\/(-18)*(-6 + 28\/5). What is the nearest to -3\/2 in 3, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v**3 - 2*v**2 - 5*v + 2. Let d be (3\/9 - -3)\/(2\/(-3)). Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -1 + 7. Let c be (15\/g)\/5*2. Differentiate 8*k**2 - 2 + c - 2 with respect to k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*k**2 + 21*k**2 + 179*k**2 + 106*k**2 - 14*k + 289*k wrt k.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((3 + 4*(-1 + sqrt(243)))**2 - (-1 + (3 + sqrt(243))**2 + 0)).\nAnswer: -126*sqrt(3) + 3634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2022*4.\nAnswer: 8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let c(s) = -20*s. Let k(h) = h. Let w(u) = c(u) + 15*k(u). What is x(w(p))?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/188511 and -43\/18243.\nAnswer: 565533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 0.1045?\nAnswer: 0.8955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11417403 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 4) to base 7\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -189*c**3 - c**2 - 11*c - 10. What is the lowest common multiple of a(-2) and 608?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkigkiktikk. What is prob of sequence kktg?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0215399 - 3.010119?\nAnswer: -3.0316589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-340)\/(-510))\/(4\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/4 + x**3\/6 + x**2\/2 - 3*x. Suppose 2 = u - 2*i - 6, -5*i - 15 = -2*u. Let t = -11 + u. Give v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*x**3 + 21*x**3 + 159*x**3.\nAnswer: 385*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 * -24021.9.\nAnswer: 3819482.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1172 = -4*n + 4*h, -20*h + 22*h = -2*n + 570. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24\/7 + 191\/70. Let z = -11773\/6 - -1968. What is the common denominator of z and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 40?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**5\/20 - r. Let b be (-4 + 4)*1\/(-2). Let g be i(b). Solve -3*q - 2*q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 2*w + 455. Let s = w + -58. What is the remainder when 37 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 56*r - 44*r + 3935 + 2379 = 94*r for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2690)\/(-269)*(-1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796561.\nAnswer: 796561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/3 + 26*o**2\/3 - 25*o\/3 = 0. What is o?\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -6 - (31 - 28) - 17) + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51182927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*g**3*p*r**3*s + 65*g**3*p*r*s - g*p*r**3*s + g + 2*p*r**2*s + 7*p*r**2 - p*s + 2 wrt g.\nAnswer: -330*g*p*r**3*s + 390*g*p*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k*v**4 - 2*k*v**2 - 3*v**5 - 29843*v**3 + 39632*v**2 + 365 wrt v.\nAnswer: 120*k*v - 180*v**2 - 179058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = j - 19. Let d = -13 + j. Suppose 0 = d*s, 0 = -4*m + 4*s - 0*s + 20. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184065186?\nAnswer: 2, 3, 4457, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.782 * 774.\nAnswer: 59429.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 1 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:23 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -808 - -3231\/4. What is the third smallest value in -4, 4, -0.8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*u + 5*u + 964, 4*a - 760 = -4*u. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 7734 = 27626. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t + 7. Let z(y) = -y + 1. Let u be 288\/(-21) + 2\/(-7). Determine u*z(i) + 2*v(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 8*v**2 + 132*v - 1038. What is k(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:35 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 11}. What is prob of sequence xr?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from lcccll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/7 - 37\/28. Which is smaller: -1634 or r?\nAnswer: -1634","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 330\/5 - (1 - 2). Let b = l - 37. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-14)*4\/(-45). Let q = 0.212 - -6.388. Let i = -6.5 + q. Which is the closest to -0.1? (a) v (b) -2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*x + 377*x - h + 1 = -370*x + 1125*x, 10*h - 45 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713910 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 11*o**4\/24 + 145*o**2\/2 + 65. Let a(v) be the second derivative of q(v). Let l(t) = 7*t. What is a(l(x))?\nAnswer: 77*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-32)\/6)\/(-2)*-3. Let x be ((-6)\/(-5))\/(w\/(-60)). Let n = 16 - x. Calculate the remainder when 20 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 6, l: 10, m: 2}. What is prob of picking 1 m and 2 c?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 + 3*u + 4. Is h(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 10019\nAnswer: 1\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tntntnnttttnnissti. What is prob of sequence st?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 10*c**2 - c + 2. Calculate n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1317 and -133\/18?\nAnswer: 7902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72193423 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5919*a**3*v + 77*a**3 - 139356*a*v wrt a?\nAnswer: 35514*a*v + 462*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44944181 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 2, f: 3, j: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 712022734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 4280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 11. Let b = q - 3. Factor b*m**2 + 2 - m**3 + 0*m**3 + 3*m**3 + 6*m.\nAnswer: 2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/((5\/(-6))\/(-5)). Let d = 330.95 - 331. Which is the nearest to n? (a) -3\/2 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 214703.406 milliseconds?\nAnswer: 0.002484993125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z*z\/z**(-1\/8)*z*z)**25*(z\/((z*z**1)\/z))**(-46)\/(z*z**3*z**(-7)) assuming z is positive.\nAnswer: z**(1849\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by -4\nAnswer: 93\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1203948.84 to the nearest 100.\nAnswer: -1203900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15473.04 rounded to the nearest 100?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.432782 years to millennia.\nAnswer: 0.002432782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*((f + 0*f + 0*f + (-4 + 2 + 1)*(2*f + 4*f - 4*f) + 0*f - 2*f - 3*f)*(5 - 4 + 1) + f - 5*f + 2*f).\nAnswer: 70*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153572504 is divided by 4619.\nAnswer: 4611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l - 688138 = 40*l. Suppose 26*d - 274354 = -l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 + 7*t + 2. Let v be d(-7). Let y be (-717)\/(-9) + 4\/12. Suppose y = 2*n + v*n. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 206*f**2 + 212*f + 416.\nAnswer: -2*(f - 2)*(f + 1)*(f + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19355141 to the nearest integer?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88839958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 294*s + 1472\/5.\nAnswer: -2*(s - 736)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -14, -65, -178, -377, -686?\n\"Answer: -4*w**3 + 5*w**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - (22 - 42)) + (19 - (0 - -1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18018 divided by -18?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x. Let o(w) = -104118*w**2. Calculate s(o(a)).\nAnswer: 208236*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42294005\/135 + (-96)\/(-1296) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 186168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 15*(-2)\/(-2). Let r be (-38)\/14 + o\/56. What is the smallest common multiple of 2 and 0 + 2 + 5 + r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490442945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d. Let s be c(5). Let p = 0 + s. Let k = -3 + p. Solve -6 = -k*j - 4*z, j - 1 = 2*z + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17076042 and 94866900.\nAnswer: 853802100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 4 - 4)*(-217*a**2 - 16*a**3 + 215*a**2 - 105*a**3).\nAnswer: 242*a**4 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 5) to base 11.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20068191 divided by -514569\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -ba8c1?\nAnswer: ba904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6665098 is divided by 1709.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 + 4 = 0. What is x rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*v**3 - 4041*v**2 + 557*v**2 - 6*v**3 - 715*v**5 wrt v?\nAnswer: -42900*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w - 12. Let c be x(2). Let z = c + 27. Suppose -z + 69 = 4*u. Solve j = -j + u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0*z**3 + 0*z**2 + 6*z + 0 + 0*z**5 + 2\/15*z**6 - 1\/4*z**4. Find the third derivative of u(w) wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246964785461 + -0.146\nAnswer: -246964785461.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 3:35 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179622 and 918.\nAnswer: 538866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.316? (a) -18.3 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + (-159)\/135 + 1. Let m = -245\/3 - -81. What is the nearest to v in -1, 3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Let v be r(4). Suppose -a + 9 = -9. Suppose 4*z - d = a, -10 = -5*z + v*d + 11. Solve -5 = -2*q + 1, -z*j = -4*q - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 704 = -9*v + 14*v. What is the highest common factor of 376 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1008 divide 186651360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*p**2 + 3*p**2 + 8)*(-p - p + 0*p).\nAnswer: 2*p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) -3\/5 (c) 142976\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npanananpapa. Give prob of sequence ppp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 2*j + 13353*j**2 - 13362*j**2. Let u(r) = 10*r. Give u(c(z)).\nAnswer: -90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve z = -312*i + 308*i + 38, 0 = -4*z + 8 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24*g)\/(g**(-4\/9)*g*g)*(g**(1\/3)*g)\/(g*g**(-18\/7)) assuming g is positive.\nAnswer: g**(1660\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -1\/2*p**2 - 12*p + 1\/3*p**3 + 0. Give z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/7 + 1*(-30)\/8. Determine y, given that -1\/4*y + l*y**2 - 1\/2 + 1\/4*y**3 - 3\/4*y**4 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10346 (b) -4 (c) 2 (d) -0.2 (e) 847 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/18))**(-12) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98806578 - 0.1.\nAnswer: -98806578.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -17.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 1. Suppose -g - 6 - 4 = -z*f, -5*g - 5*f = -40. Calculate the remainder when 13 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.366388 kilometers to micrometers.\nAnswer: 6366388000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2663 + -382237?\nAnswer: -379574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -576.0414 rounded to zero dps?\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9228614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/((-6)\/(-4) + -3). Let c be 57\/38*3\/((-18)\/n). Let l(m) = 5 - 2*m**c + 224*m - 224*m. Let i(o) = 2*o**2. Calculate l(i(d)).\nAnswer: -8*d**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) - 4\/(-10). Let k = 0 - -5. Suppose 0 = -b + k - 1. Sort 8, b, t in ascending order.\nAnswer: t, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1 - (-21 + 13). What is the least common multiple of 44 and ((-3)\/5)\/(o\/(-120))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*x**5 - 126*x**4*y + x*y + 39952*x - 1 wrt x?\nAnswer: -3660*x**3 - 1512*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/10 - 57*x\/2 - 3712\/5 = 0. What is x?\nAnswer: -256, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306 and 306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/48)\/(6 - (-282)\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16008 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5815 + 0*b + 5762 - b.\nAnswer: -b - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(16\/(-5120)*-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 608 = -4*l + 2042, 3*l + k = 1975. Suppose -l = -6*g + 924. Suppose -3*d + 86 = -13. What is the highest common factor of d and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-23))\/(-2) + 1362636\/15613182. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:24 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*g - 4 = 0, -1661*i = -1656*i - 6*g - 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/5)\/(24\/(-80)). Let z = 11 - 7. Let f be 2\/18*(-2 + z). Which is the nearest to -1? (a) o (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -46\/7, 5\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195860.\nAnswer: 2, 5, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 12*l - 3. What is the remainder when 22 is divided by a(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from ppgupxpgh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - (-1767)\/6120. Let l = 1\/340 + y. Let r = 256591\/21930 - 1\/2193. Calculate the common denominator of r and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/((-2)\/4)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18745096 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56030 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 k when four letters picked without replacement from {k: 1, w: 3, r: 1, v: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1640083*x**4 + 555120*x**2 + 2 wrt x.\nAnswer: 39361992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuaphnphp. What is prob of picking 2 p and 1 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3976*d**2*i**2 - 1193*d**2*i - 4*d*i**2 - 2*d*i - 9 wrt i?\nAnswer: -7952*d**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -390312?\nAnswer: 5\/390312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v - v**3 - 2 - 3*v**2 + 2*v - 2. Suppose -79*d = -81*d - 96. Let f = 44 + d. Give w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2809, 22616, 77277, 184504, 362009?\nAnswer: 627504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 3. Suppose 0 = 17*z - 174 + 242. Let y(u) = -3*u - 21. Let m(w) = -w - 5. Let b(s) = -9*m(s) + 2*y(s). Calculate z*b(h) - 5*k(h).\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 110. Suppose 1105 + 35 = 4*d. Let r be 42\/d - 1\/5. Is p bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 828.83019 + 0.16981. What is the closest to 0.1 in a, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(3\/31))**(-21)*((x\/((x**0\/x*x)\/x))\/(x\/x**(-6)))\/((x\/((x*x**1)\/x))\/(x*x**(-1\/5))) assuming x is positive.\nAnswer: x**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 84236503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**3 - x**2 + 1. Let r be z(1). Let l(f) = -95*f + 82*f**2 - 16 - 84*f**2 + 76*f. What is the tens digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1376\/6 + 10\/15. Let t = 387 - c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 5*r - 24. Suppose -u - r = -7. Suppose -u*l - 2*l + 4206 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53\/52 + -10\/13. Let p = 92 - 92.2. Let r(n) = -n**3 - 5*n**2 + n. Let l be r(-5). Sort l, p, s in increasing order.\nAnswer: l, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - -3*(sqrt(170)*-1 - sqrt(170)))\/(sqrt(360)*4).\nAnswer: -5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b + 21. Let i(a) = 2*a + 5. Suppose c - 26 = -20. Suppose 0 = c*z + 15 + 15. Give z*m(u) + 21*i(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*v + 2836 = 0, -2*r + 0*v - 5686 = 3*v. Let y = 8046 - r. Let q = y + -6386. Round q to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.16 (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2 - 117*g - 47. Calculate k(-18).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5248221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4237 - -3?\nAnswer: 423a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, k: 4, b: 4}. Give prob of picking 4 k.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13818064 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/((-8)\/10 - (-11)\/(-55)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - 9*o**4 + o**4 + (-3*o**3 + 2*o**3 - o**3)*(-2*o - 2*o + 2*o) + o**4 - o**3 + o**3 - 2*o**4 + 4*o**4 + o**4 + (1 - 1 + o**4)*(1 - 1 - 2).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -203, -725, -1605, -2843?\n\"Answer: -179*d**2 + 15*d - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 9*z - 13*z. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121 + -a?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4870 = v. What are the prime factors of v?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/7, 3238, 4, 3 in decreasing order.\nAnswer: 3238, 4, 3, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**5 + g**4 - 2*g**3 - 2*g**2 + 7*g - 3. Let b(d) = -d**5 - d**4 + d**2 - d + 1. Let u = 0 + 12. Let i(p) = u*b(p) + 3*j(p). Factor i(n).\nAnswer: -3*(n - 1)*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -1, -4.36, -0.06, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 1\/3 (b) -28 (c) 1\/2 (d) 0 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 52\/20)\/(2\/1750). Let q = i + -345. Solve -3*w = r - 12, -r = -w + q - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 85*i + 2 + 81*i - 249*i + 74*i. What is f(5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72400 and 92672.\nAnswer: 2316800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llc when three letters picked without replacement from {c: 1, i: 2, q: 8, l: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = r + 3*z + 23, 19*z - 110 = 22*r + 16*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1637 divide 9992248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = 21, -5*v - 31 = -4*r. Solve -9*w + r*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*h + 30. Suppose 6 - 10 = -2*p. Suppose p*u + u + 2*o - 4 = 0, -4*u - 3*o = -5. Solve -u*l - 4*b = -9*b + h, -5*l - 3*b - 22 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w - 32*w + 30*w - 9*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -10 in descending order.\nAnswer: 3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8 or -2\/25?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 77*y**2 - 28*y - 28. Let x(p) = 14*p**2 - 5*p - 5. Give -5*b(o) + 28*x(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -4*z, 4*s + 63 = 3*z. Let t = 44 - s. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 9 - 34. Suppose -7 = 3*s + b. Let g be 112\/392*7\/(-12). Put -2, s, g in decreasing order.\nAnswer: g, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3193, 1921, -197, -3161?\nAnswer: -6971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39274 and 10.\nAnswer: 196370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 20*h - 46. Determine l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*l = -l - 3, 3*w - 7 = l. Suppose 2*s = 16 - w. Let o be (-4)\/8*s\/4. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 61*i**5\/8 + 123*i**4\/4 + 313*i**3\/8 + 33*i**2\/2 + i\/2 = 0. Calculate i.\nAnswer: -2, -1, -2\/61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 times -185.3\nAnswer: 648.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242662623?\nAnswer: 3, 7, 19, 608177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.17466497 to one decimal place.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3876 and 2584.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 0.45215127536?\nAnswer: -4.54784872464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 + 4*a**2)*(8 - 7*a + 16 - 25).\nAnswer: -28*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 521*q**2\/3 + 68120*q\/3 + 67600\/3.\nAnswer: (q + 1)*(q + 260)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/128845 and 61\/28217055?\nAnswer: 28217055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + i = -5, 2*i + i = 4*m - 15. Suppose m = 4*z + 6 + 2. Sort -4, z, -0.5 in increasing order.\nAnswer: -4, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - 5*b**2)*(-74 + 8 - 23 - 9 - 3).\nAnswer: 505*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 272329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1000001000 (base 2) to base 13\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 13. Let z be n(-14). Let h(q) = q**2 - 1. Let g(i) = 3*i**2 + 2*i - 6. Calculate z*g(w) - 5*h(w).\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 10*s**2 + 14*s + 78. What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205450757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18 and 20\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 + 3834*d\/5 - 1224963\/5.\nAnswer: -3*(d - 639)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaaqaaqaaa. What is prob of picking 3 q and 1 a?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 - (7 + -11))) + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.11, -1\/8, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(1216) + -5 - sqrt(1216)) + sqrt(1216) + sqrt(1216) + sqrt(1216)*-2 + -5 + -2 + 5 + (sqrt(1216) - 2*sqrt(1216)))**2.\nAnswer: 112*sqrt(19) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 290*k + 298*k - 589*k. Let g(b) = -157*b**2. Calculate g(f(h)).\nAnswer: -157*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3024 = 163*c + 173*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:11 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -21. Calculate the remainder when 28 is divided by y\/6 - -4 - (-3)\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 - (5 + 0 + -14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4314 - 3654?\nAnswer: -8068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:35 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:29 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20122 and -39\/11.\nAnswer: 221342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 11}. Give prob of picking 2 a.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 84500917.28 + 3256.3\nAnswer: 84504173.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*y - 19, 311*y - 619*y = -5*h - 304*y - 97 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-36)\/(v**(-6)*v*v**(-4\/7)) assuming v is positive.\nAnswer: v**(291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 336106223 a multiple of 5082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 5*r - 180 = -13*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 - 6*b + 2765. Let q(k) = -13*k**2 + 11*k - 5525. Give -11*p(h) - 6*q(h).\nAnswer: h**2 + 2735","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/21 + (-432)\/(-7). Let z = 220 + -216. Suppose -p = u - 34, -6*u + p = -z*u - x. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 0 + 0)*(-m + 2*m - 8*m) + 0*m**2 - m**2 + 0*m**2 + (-3*m - 3*m + 4*m)*(-2 + m + 2) + m**2 - m**2 + m**2 as k*m + q + o*m**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, k: 1, o: 1, w: 3}. What is prob of sequence mk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 4*f + 2. Let s(k) = 3*k + 2. Let z(y) = -y**2 - 4*y - 6. Let r be z(-3). Let l(b) = r*t(b) + 4*s(b). Differentiate l(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x**2 - 70 + 2*x**3 + x**4 - 100*x**2 - x - 20*x**3 + 72*x**2 - x**3 to the form v*x**3 + l*x**2 + p*x + j*x**4 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 7*w + 4. Let n be o(-7). Let p(z) = -59*z**3 - 7*z**2 + 3*z - 7. Let m be p(n). Let k = m + 7290. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -10010111100?\nAnswer: 10011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*l - 16*l - 17*l**2)*((3*l - l - l)*(0*l**2 - 4*l**2 + 3*l**2) - l**3 + l**3 + 2*l**3 - l**3 + 5*l**3 - 2*l**3 - 2*l**3 + 0 + 0).\nAnswer: -17*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 33*h + 3509. Determine x(-110).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255424 (base 7) to base 2.\nAnswer: -1011100110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8549.182ml in litres?\nAnswer: 8.549182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 20. Let y be b(-9). Let n = 11 + y. Let q(h) = h**3 - h - 7. Give q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6ab8c4 + 4?\nAnswer: -6ab8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 320\/50 + -6 - (1 + -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:40 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 - 5905*q**2 + 11870*q + 47320 = 0. What is q?\nAnswer: -1183, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/1315 and 3\/8.\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(((-27965)\/510)\/47)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -79*p - 3. Let f be 2\/10 - (-44064)\/180. Let s(w) = -f + 116 - w + 129. Give d(s(j)).\nAnswer: 79*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 348*h**5 + 9*h**4 + 90*h**2 + 3*h**3 - 9*h**4 - 3*h**3 wrt h?\nAnswer: 20880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -419 - -419.2. Sort -0.22, 6, n in decreasing order.\nAnswer: 6, n, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*o - b - 17, -3*b = 5*o + 32. Suppose -5*c - 20 = 4*l, -c + 5*c - 36 = 2*l. Let f be l\/(-6) + (-2)\/(-6). Sort o, f, -3 in ascending order.\nAnswer: o, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 6, x: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q)*(-q**2 - 2*q**2 + q**2) + (-8*q + 74*q + 262 - 263)*(-3*q**2 - 8*q + 8*q).\nAnswer: -202*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18030.033 nanoseconds?\nAnswer: 0.0000000000298115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10*w + 8 = -6*w + 4*w, -27*w = -3*t - 31*w + 34 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 - k**4\/2 + 4*k**3\/3 - 5*k**2\/2 - 2*k. Let s be 1\/((8 + (-270)\/35)\/(-2)). What is l(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**2\/2 + 1. Let v(y) = -y + 9. Let g be v(6). Let z be 3*g\/(-9)*4. Let k(t) = t. Calculate z*k(p) + a(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -24. What are the prime factors of (j - 1)\/((-21)\/(-28))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 77. Let m = f + -40. Sort 1, m, -10 in increasing order.\nAnswer: -10, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -12642601.74.\nAnswer: 12642597.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.11, 4\/3, 5, -8?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/92 and -119\/690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/7*399\/(-114)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*o + 3, 5*o - 1 = -0*i + i. Factor -a**2 - 3*a + 2*a**2 + 2 + o.\nAnswer: (a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 237 + -4?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 574 + -534. Let n be -2*r\/(-16)*1. Solve 0*t + t + n*m - 20 = 0, -2*m + 8 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(275) - sqrt(275))*2 + sqrt(275) + sqrt(275))*-5)**2.\nAnswer: 247500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -86 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/153)\/(104\/108)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b + b**2 + 14*b + 3 - 4*b. What are the prime factors of z(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -2*m**6\/15 + 5*m**2\/2 - 27*m. What is the derivative of f(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + k + 2*k - k. Let a = 14 + 127. Let g(h) = -158*h**2 + a*h**2 + h - h. Give f(g(q)).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -110022 (base 3) to base 9\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -243 + 2675\/11. Suppose -5*y + 32 = 3*o, -5*y - 6 + 18 = -2*o. Sort v, 3, y in decreasing order.\nAnswer: y, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3549, -11, 4 in descending order.\nAnswer: 4, -11, -3549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.2407?\nAnswer: -0.9628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5514 (base 9) in base 7?\nAnswer: 14563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -19*n. Let g be -3634*(45\/10)\/(-3). Let c(u) = -g*u - 2*u**2 + 5451*u. What is c(w(s))?\nAnswer: -722*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6)*10\/3. Let j = -155 + 175. Let m be 0 - 0 - 3*j\/(-15). Solve m*f = a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 18. Let l(a) = -a**2 - 18*a + 4. Is l(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 235*v**6\/6 + 4245*v**2\/2 - 3467. Find the second derivative of b(t) wrt t.\nAnswer: 4700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let q(i) = -5*i + 6. Let z = 15 - 16. Let f(b) = z*q(b) - 6*w(b). Let s(o) = -o**2. What is s(f(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-23)\/h)\/h)\/h*h**(4\/11)*h)\/((h**(2\/9)*h)\/h**(-27\/2)) assuming h is positive.\nAnswer: h**(-7793\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 2210032?\nAnswer: 2210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9156647 hours to days.\nAnswer: 0.0798193625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/6)\/((-24)\/3). Let u = 23 - 7. Let r = u - 12. Put -4, f, r, 0.2 in decreasing order.\nAnswer: r, f, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216310343 (base 7) to base 16.\nAnswer: c812e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let j(p) = 67*p - 23. What is j(q(b))?\nAnswer: 67*b**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c37 + -cff?\nAnswer: 1f38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oggggbogobgo. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, -2\/9, -2\/1235, -43?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Let f(v) = -2*v**2 + 3*v - 4. Let a(q) = -3*q**2 + 5*q - 7. What is u*a(i) - 5*f(i)?\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22221221 (base 3) to base 12\nAnswer: -3944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000699596 rounded to 6 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27780, 111621, 251368, 447021?\nAnswer: 698580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.35 (b) -2\/267 (c) 0 (d) -3\/4 (e) 0.5 (f) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*i - 14, 4*i + 4*a + 42 = -10. Let n(y) = -11*y - 1. Let u be n(i). Let k = u - 59. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 9\/70*g**7 + 0*g**5 + 0 + 25*g**2 + 3\/2*g**3 + 0*g**4 + 0*g + 0*g**6. What is the first derivative of o(i) wrt i?\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -2\/24255 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:29 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165357, -330404, -495453, -660504, -825557, -990612?\nAnswer: -1155669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 + 11*z - 20. Let y(k) = -5*k**3 - 11*k + 23. Give -3*h(l) - 2*y(l).\nAnswer: -2*l**3 - 11*l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/120 + f**4\/4 - f**2. What is the second derivative of g(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12416 = 14*u. Calculate the remainder when u is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 o, and 1 y when four letters picked without replacement from {w: 3, n: 2, o: 4, k: 4, y: 1}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 115434?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -339.276 + -34469067\nAnswer: -34469406.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -105218, -210343, -315468?\n\"Answer: -105125*m - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 336761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 9. Let s be (-209 + 3)\/((-4)\/p). Let n = -2467\/8 + s. Find the common denominator of n and 53\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-22)*((-4)\/(-3))\/(920\/414)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)\/(1 - 0). Solve -9 = -3*y - z*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by 779?\nAnswer: 46\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-22)*0)\/3. Let a(n) be the first derivative of 5\/2*n**2 + o*n**3 + 4 + 0*n + 1\/2*n**4. What is the second derivative of a(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/2 + 334336*o**2 - 9361261*o\/2 + 16382121 = 0.\nAnswer: 7, 668658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*t - 137*t + 369*t + 24*t - 130*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6160 = 41*j - 27*j. What are the prime factors of j?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i + 3. Let b be s(-3). Suppose -k - u + 10 = b, 0*k = 2*k + 3*u - 24. Calculate the least common multiple of k and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 216150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 32*g - 316. Let n be f(10). Suppose 0 = -5*s - 5*y + 30, 7*y - n*y + 7 = 2*s. What is the remainder when (5 + -1)\/(-2) + 10 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 20\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {k: 2, v: 4, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -13) + -3 + 2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68381 plus 218.98?\nAnswer: -68162.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/24)\/(1\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = 4*q, 5 = 3*i - 4*i - 3*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2049 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111, -232, -391, -606, -895, -1276?\n\"Answer: -3*r**3 - r**2 - 97*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-76)\/12 + 2\/6. Let w = r + 11. Suppose 0 = -0*g - g. Solve 25 = -w*b - g*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 b when three letters picked without replacement from vmvmmpbmbvz?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7825 + -7821. Which is the closest to 8? (a) 50 (b) z (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 4*h**2 + 4*h + 13. Let k be m(-4). Let c(f) be the second derivative of f**3\/3 + 5*f. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 1, q: 3, d: 3}. What is prob of picking 1 q and 2 d?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 937, 1387, 1897, 2521, 3313, 4327, 5617?\nAnswer: 7237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/25)\/((-8)\/10). Factor 4\/7*n + 0*n**l - 6\/7*n**2 + 2\/7*n**4 + 0.\nAnswer: 2*n*(n - 1)**2*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**6\/120 + w**4\/12 - w**2\/2 - 2*w. Let l(z) be the first derivative of y(z). What is the second derivative of l(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7455, -9529, -11605, -13683, -15763?\nAnswer: -17845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 - 106. Suppose -k = -i + 45. What is the smallest common multiple of i and 2?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {g: 1, b: 1, i: 9, y: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 6*h**3 + 2*h + 1. Let a be f(-1). Let b be a + -2 + 7 + 83. What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 400.7 + -400.9. What is the third smallest value in 0.3, -1, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -127. Suppose 3*i - 15 = -3. Suppose -4*t + 72 = i*x, 4*t = -t + 20. Calculate the highest common factor of x and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-16 + 9) + (-3 - -9074) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8338.\nAnswer: 2, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59845416?\nAnswer: 2, 3, 2493559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = -2*w, 0 = -0*f - 4*f - 5*w + 37. Suppose -f*z + 1570 = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 16*y**2 - 3*y - 1. Suppose -32*r + 31*r - 26 = 4*n, 0 = -4*r - 5*n - 38. What is b(r)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*n - 14, 9*m + n = 8*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -43*z + 89*z - 65*z - 24*z. Let l(p) = -4*p**2. Calculate x(l(a)).\nAnswer: 172*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 6.3. Let s be (-1)\/3*6\/(-18)*0. Let v be (-2 - 0\/(-3)) + s\/3. Which is the second biggest value? (a) v (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -568650112.5999621 + 568650073. Let k = x - -39.6. Round k to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 2*i - 1734 = 0, -2*l + 849 = 5*i. Let w = -256 + l. Suppose 0 = 2*z - 4, w - 69 = 5*k + z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 192, 167, 132, 87, 32, -33?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2248*i - 2247*i - 2239*i + 11223*i - 2244*i - 2247*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 882103*c**3*j - c**3 + 708570*c wrt j.\nAnswer: 882103*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - 311\/5. Which is the closest to 2\/7? (a) k (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 109458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -5*t**4\/2 + t**2\/2 - t - 395. Determine u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/sqrt(3)*2 + 0 + -6*((sqrt(35) + sqrt(560))\/sqrt(5)*-2)**2 + -3.\nAnswer: -4203 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -7, 10 in ascending order.\nAnswer: -7, -4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c**2 - 2*c + (-2*c + 3*c + 0*c)*(2 + 2*c - 1 - 3*c).\nAnswer: -3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 26. Let z be m(0). Let d = z + -3. Solve -d = 5*b + o + o, 11 = -b - 2*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -35522*n + 2664164. Determine r(75).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3\/3 - 23972432*t**2\/3 + 9577959864739*t - 3831182667366 = 0.\nAnswer: 2\/5, 2397243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + (-41)\/(-2). Let a = -44141 - -44143. Solve a*v - i = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/3036 and -113\/120.\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 5\/((-75)\/(-462)) + (-4)\/(-20).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**10\/u**9)**49*((u**2\/u)\/(u**(-2)*u))\/(u**(-3\/2))**(-3\/14) assuming u is positive.\nAnswer: u**(1419\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 5*j**2 + 7*j + 4. Let m be z(-6). Calculate the common denominator of m\/4*(-76)\/(-32) and 59\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -77 + 6*(-8)\/(-6). Let a = 72 + m. Let s = -2.1 + 2. Put a, -8, s, 0.5 in increasing order.\nAnswer: -8, s, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24486851750905 and -4.\nAnswer: 24486851750901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13203525 is divided by 1913?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49862460.6 rounded to the nearest ten thousand?\nAnswer: -49860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*w + 55*w + 29*w)*(0*w**2 + w**2 + w**2).\nAnswer: 312*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 0. Let j = m + 9. Factor 0 - 2\/7*z**j + 2\/7*z.\nAnswer: -2*z*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/(q\/(q**(-6)*q)))**(-26)*(q\/(q*q**1))**(-35)\/(q**(-5)*q*q**5*q) assuming q is positive.\nAnswer: q**397","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 6*a - 234. Calculate the remainder when 33 is divided by s(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1573 in 5, 0.2, 1090?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 135 = -5*l. Let n be (-3)\/3 - (-1 + 1). What is the remainder when l is divided by 1*(12 + 1) - n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 316, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 14. Suppose 2*s = 4*s - 2*y - 2, -4*s + 3*y = -3. Let k be x(s). Let v = 16 - k. Solve -p + v = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:17 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbbm when four letters picked without replacement from bhhbwbhbmhwhbdbdwhhb.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3. Let c be l(-1). Let m(f) = f**3 - 2*f**2 + f + 4. Let g be m(0). Solve c = 8*r - g*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5058, 13032, 21006, 28980, 36954?\n\"Answer: 7974*k - 2916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1108, -989, -790, -511, -152?\n\"Answer: 40*n**2 - n - 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k**4\/11 - 238*k**3\/11 + 160*k**2\/11 + 1272*k\/11 - 288\/11 = 0. What is k?\nAnswer: -2, 2\/9, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfkjfjffjj. What is prob of sequence jkj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + k**2)*(-4*k**2 + k**2 + k**2) - 78*k + 85*k + 13*k**4 - 28*k**4.\nAnswer: -17*k**4 + 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*d - 884 = 618, -2980 = -4*i + 4*d. Calculate the remainder when i is divided by 62.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**4 - 39*v**3 + 164*v. Let p(z) = 2*z**4 + 20*z**3 - 82*z. Let j(m) = 4*o(m) + 9*p(m). Find the second derivative of j(d) wrt d.\nAnswer: 24*d**2 + 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*d**5 - 3 - 2*d**5 + (-2*d**4 + 3*d**4 + 0*d**4)*(3*d - d - d) - d**5 + d**4 - d**4 - 2*d**4.\nAnswer: d**5 - 2*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14*o**2 + 4*o - 4. Let h(i) = -14*i**2 - 6 + 314*i + 1 - 309*i. Calculate 5*f(y) - 4*h(y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 377810870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17.3195 litres?\nAnswer: 17319.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 + 3*i. Let y be v(-2). Let j be y\/(3\/2 + -1). Let s = j + -10. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 1 + 3. Let u be (c\/4 - 3)*-14. Suppose 0*p + u = p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1429284993 and 1429284991 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -443 from -2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o + 2349 = -3*v, -13*v + 14*v + 2*o + 164 = -10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-570)\/15)\/((-1332)\/36 - -36)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-65))\/((-12)\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28148217 or -28148214?\nAnswer: -28148217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:24 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((69*u + 13*u**3 - 69*u)*(-1 + 2*u + 1) + 0*u**4 - 5*u**4 + 4*u**4)*(-1 - 2 - 1 - 2).\nAnswer: -150*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152918 and 76946?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:11 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74289*r**4 - 306452*r wrt r.\nAnswer: 891468*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 6:58 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Let a be ((-6)\/(-126))\/((-1)\/3). Which is greater: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 1. Let j be b(-5). Let s = j - 7. Suppose 4*l - 6 = 3*g - 4, -4*l - 5*g = -18. What is the remainder when l is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 7, 14, -148 in descending order.\nAnswer: 14, 7, 0, -7, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12*y**4 - 2*y**3 + 25*y**2 - 51*y + 30. Let v(z) = -7*z**4 - 2*z**3 + 13*z**2 - 25*z + 15. Let g(n) = -3*a(n) + 5*v(n). Find c, given that g(c) = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 559348, 1118715, 1678096, 2237497, 2796924?\n\"Answer: l**3 + l**2 + 559357*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 34*u - 20. Let w be s(12). Let q(b) = -3 - w + b + 4 + 6. Determine q(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 - 3\/9)*-3*24 and 921?\nAnswer: 7368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + 5 + -121 - -152.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -117, -147, -193, -261?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 < 521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 10*c - 19. Let v be u(-7). Suppose -81*k - 11*k**2 + 3*k**3 + 6*k**2 - 31*k**v - 42 = 0. Calculate k.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 5 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-three fifths of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 29, -6\/11, -0.04 in descending order.\nAnswer: 29, 2, -0.04, -0.1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 209 + 331. Calculate the highest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o + 2. Suppose -5*p - 10 = 3*h + 6, -h = -4*p - 6. Let z be d(h). Calculate the lowest common multiple of 1 and (-2)\/(-1) + z\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -56. Suppose -208 = -4*i + 4*n, -4*n - 46 = -3*i + 2*i. Let a = m + i. What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2380 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6283568, -12567132, -18850696, -25134260, -31417824?\nAnswer: -37701388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-5)\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/((sqrt(81) + 2*sqrt(81))\/sqrt(9)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011012031 (base 4) in base 2?\nAnswer: 10100000101000110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 584 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*c - 9, -57*r + 5*c + 13 = -55*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o - 2. Let t be w(-5). Suppose t*f = 32 + 22. Suppose 0*n - f = -2*n. Solve n = 2*d - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2351*o + 4*n + 69 = 2356*o, -3*o + 0*o - 2*o - 2*n = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 118*o**2 + 365*o + 203. Determine x(-121).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.331397mg to grams.\nAnswer: 0.004331397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*q + 27 = 0, 3*l + 2*l + 45 = -q. Let i = l + 48. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 + 87. What is t(0)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2740 and 17249396?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:10 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55690809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/50800 and 93\/59182000?\nAnswer: 59182000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*h**2*i**3*t*x**3 + 3*h**2*i**3*x - h**2*i**2 - 2*h**2*i*t*x**2 - 4*h**2*t*x**3 - 9*i*t*x - i*x**2 wrt x.\nAnswer: 456*h**2*i**3*t - 24*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from gttgtgntgngtgtt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 75999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -60\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -6*(1 + sqrt(72)) + sqrt(72) + -4.\nAnswer: -24*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + 0 + 0)*(4 - 1 + 3)*(-31 + 45 - 48).\nAnswer: 408*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**48\/(j*j**7*j*j**6)*(j*j*j**(2\/5))**5\/(j**1)**(1\/45) assuming j is positive.\nAnswer: j**(404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(192))\/sqrt(12))\/(2*sqrt(8)*2 - sqrt(8)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 6*q - 6. Let y(k) = -3*k - 3. Let o be y(-2). Suppose 5 = -4*l + o*l. Give a(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from {p: 5, f: 4, u: 3, l: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/20 - 1275\/2. Let b = p + 11593\/18. Find the common denominator of -4 + -87*(-39)\/648 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -16 - (-11 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20*-28*(-735)\/168)\/(20\/80)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.4949 - -402.4652. Let w = -366 + b. What is w rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, l: 2, o: 1}. What is prob of sequence el?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 13. Let j be (-2)\/(-15) - 598\/(-15). Suppose 3*h = -h - j. Is 3 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4 + 8. Let p be (25\/b)\/(2\/6). Suppose 0 = -4*y - 4*r + 20, 6*r = r - p. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -3, -1 in ascending order.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479426, 1479542, 1479658, 1479774, 1479890?\nAnswer: 1480006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 107.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/15, -4, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17885.5 + 17884. Which is the closest to 0.03? (a) m (b) 0.4 (c) -4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6626576 divided by -36014.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 969.5151 micrograms to tonnes.\nAnswer: 0.0000000009695151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -23. Let r = 21 + t. Solve -5*m + r = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 15) to base 13\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -23. Let g(b) = -460 + 930 - 15*b**2 - 2*b**3 - 454 + b + 3*b**3. Is g(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 39. Let c be t(0). Suppose c = -5*l - 231. Let k = l - -217\/4. Put -1\/8, -5, k in increasing order.\nAnswer: -5, -1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (479 - 421 - 275)*(2*x**3 + 3*x**2 - x**2 - x**2).\nAnswer: -434*x**3 - 217*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -13.06. Let y = 2.49 + -2.6. Let j = y + r. Put -2, -3, j in increasing order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568.82207 + -12.44493. Let j = p - -581. What is j rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 423831\/32 - 13247. Find the common denominator of z and 47\/328.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8513.197l in millilitres?\nAnswer: 8513197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + -2)*14\/(-84) + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 644 = 227. Let j = -2 - -4. Suppose -5*t - 5*y + y + n = 0, -j*t - y + 25 = 0. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4923, -19734, -44421, -78984, -123423, -177738?\n\"Answer: -4938*k**2 + 3*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0 = 3. Let k be (5 + (-4 - u))*(-2)\/(-7). Factor 4\/7*c - 1\/7*c**2 - k.\nAnswer: -(c - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {k: 2, v: 4, x: 1, j: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/104)\/((6\/8)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 2*b**2 + 39*b + 76. What is f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**4 + 2*p**2 - 76*p + 336*p**3 + 78*p - 316*p**3 to the form v*p + i*p**4 + u*p**2 + m*p**3 + x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044224 (base 6) to base 12.\nAnswer: 26674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -54. Suppose 0 = 7*a + 38 + s. Let f(g) = g + 2. Let k be f(-4). Put a, k, 1 in descending order.\nAnswer: 1, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-114912)\/(-6156))\/((-14)\/(-24))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 150*s**3 - 5*s**2 + 6*s - 3. Let q be h(3). Find the second derivative of -2*j**3 + 10*j**2 - 2*j**3 + q - 4018 - 54*j wrt j.\nAnswer: -24*j + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-28))\/8*(-21)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3114*m + 176*m**2 - 773*m - 778*m - 782*m - 782*m.\nAnswer: 176*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1122 - 2238 + 20*k + 8*k**2 + 1118)*(-4*k + 5*k + k).\nAnswer: 16*k**3 + 40*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*(235\/55 - 5)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76994494 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 - 25063724*u - 157047565187044 = 0. What is u?\nAnswer: -12531862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 18\/(-12))*8. Let n be (-1 + 0 - -4) + -2. Put t, -5, n in decreasing order.\nAnswer: t, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241245 is divided by 49.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/4*w - 3\/2 - 7\/2*w**2.\nAnswer: -(2*w + 3)*(7*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 577*a - 480*a - 2037 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300362177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-6 - (3 - 15)) - (-13 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-362 + 1767 + 194)*(-1 - 2*i**2 + 1).\nAnswer: -3198*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Let b(v) = v**3 + a*v**3 - 6*v**3 - 2*v + 3 + 2*v**3. Let n be b(0). Solve -n*u = -10 - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b + 3 - 4 + 0)*(2*b + b + 0*b) as q + i*b + p*b**2 and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*m - 3*c, 5*m + c - 32 = 23. Suppose 1518 = -m*p + 16*p. Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwiw when four letters picked without replacement from {w: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-559 - -581) + 1032\/(-47))*(0 - 1).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1504873144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 + 228 = -8*z. Let r(q) = -3*q**3 - q**2 - q. Let b be r(-1). Let t be (z\/(-4))\/b - -5. Solve t = 4*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021.20839 rounded to 0 dps?\nAnswer: 7021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 41, 76, 127, 200, 301, 436, 611?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*z**2 + 11224*r*z - 1141*r + 63*z**2 + 25*z + 2892 wrt r.\nAnswer: 2*z**2 + 11224*z - 1141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 286962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269901925.\nAnswer: 5, 241, 44797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -347*o**2 + 9*o. Let q(i) = 16310*i**2 - 420*i. What is -3*q(z) - 140*y(z)?\nAnswer: -350*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6437\/455 - -24\/455. Let o = 27\/2 - r. Calculate the common denominator of -1 - 2 - 486\/(-12) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-9)*(19 - -4). Let o = z + -33. Let g = 2.5 + -3. What is the second biggest value in g, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*x**3\/3 - 80*x**2 - 105*x + 50\/3.\nAnswer: -5*(x + 2)*(x + 5)*(7*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -101 and 3.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 7051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + -1)\/(6 - 8). Let a(p) = 2*p**2 - 3*p - 6. Let u(z) = 4*z**2 - 5*z - 11. Let j(y) = q*u(y) - 5*a(y). Find the first derivative of j(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(2\/(-9)). Let s = -1226 + 1226.6. What is the smallest value in -1, s, 5, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*a - 2, 3*a - 15*p - 31 = -10*p. Solve 0 = -0*b + 2*b + 2*r, 4*r + a = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19057350 to the nearest one hundred thousand.\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6718923km?\nAnswer: 671.8923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 15. Let m(o) = o + 3. Let x(l) = 2*g(l) + 11*m(l). Let c = -9 - -4. Let j be x(c). Let n(b) = -b**3 - b**2 + b - 1. Determine n(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 319718751.3 and 3093.\nAnswer: 319721844.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23 (b) 5 (c) -3 (d) -0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18046, -18049, -18052, -18055?\nAnswer: -18058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -51040000 to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.7 (b) -2\/7 (c) 293 (d) -9 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + -2*(sqrt(1500) + sqrt(1500) + sqrt(1500) + sqrt(1500)*1 + sqrt(1500)))\/((1*sqrt(21))\/sqrt(7)*-3).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -506, -997, -1488?\n\"Answer: -491*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3, -4*m + 13035 = m + 5*q. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 74. Let c(t) = 5*t - 3. Let x be c(d). Let y(b) = 0*b - b - 75 + 0*b + x. Calculate y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-14370453.9\nAnswer: -7185226.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 + -7 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 3*t)*(-2*t**3 - 4*t**3 + 3*t**3) + t**3 - t**3 - 2*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 106870227 to the power of 1\/2, to the nearest integer?\nAnswer: 10338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -19. Suppose 4*r - m = 2*w, -3 = 3*w + 4*r - 8*r. Solve 4*t - 3*o = -0*o + w, o = 4*t + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.651259436 rounded to four decimal places?\nAnswer: 0.6513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3671 and -0.013255.\nAnswer: 1.353845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 6*u**2 + u + 7. Let f be r(-6). Suppose -12*l - 16 = -4*l. Let c be (l\/6)\/(6\/8). Does f = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/2*-3 + 2. Let c be 3\/15 + f\/10. Suppose 0 = -c*q + 65 + 59. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/175)\/(4\/90)*((-660)\/36 + -5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 4*p - 136. Let k be m(14). Suppose -y = -x + 51268, -3*y = 9*x - k*x - 256300. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:57 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 4037*u - 48435\/4.\nAnswer: -(u - 16145)*(u - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 31. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l**(-8)\/l))\/l*l*l)\/(((l\/l**(-1\/4))\/l*l)\/l)*(l\/((l\/(l**(2\/3)\/l))\/l)*l)**(1\/18))**(-11\/4) assuming l is positive.\nAnswer: l**(-14069\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+18678157385\nAnswer: 18678157385.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8468403191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:05 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*a**2 - 369*a + 1 - 1 + 367*a.\nAnswer: -121*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78138.265 - 78225.264998. Let j = m - -87. What is j rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-22)\/s*s*s\/(s\/s**(-18)) assuming s is positive.\nAnswer: s**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 30*c + 39. Calculate p(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4380*z - 112 + 39 + 1 + 366*z**2 - 132*z**2 + 1234*z**2 = 0. Calculate z.\nAnswer: -3, 6\/367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/24 - (-2)\/8. Let a(c) = -4*c + 5. Let x(k) = 3*k - 4. Let h(t) = -5*a(t) - 6*x(t). Calculate h(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 15 = 15*l. Suppose 6 = 3*z, 0 = -m + 4*z + 58 - 11. Suppose m = w + l. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33120 and 23259594.\nAnswer: 23226474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 3*r**2)*(0*r**2 + 0*r**2 + 3*r**2) + (-220 + 425 - 216)*(4*r**4 - r**4 - r**4).\nAnswer: -19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-28))\/(h**(-2\/47)*h))\/(h*h*h*(h*h\/((h\/(h*(h*h**(1\/71)*h)\/h))\/h)*h)\/h*h*h*h*h*h**20*h) assuming h is positive.\nAnswer: h**(-13253\/3337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -23*f**3 - 23*f**2. Let c(d) = -126*d**3 - 126*d**2. Let n(h) = 5*c(h) - 28*x(h). What is the third derivative of n(r) wrt r?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184230120 divided by -265.\nAnswer: -695208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19008672595 rounded to five decimal places?\nAnswer: 0.19009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - -6*(sqrt(1008) + 3 - sqrt(1008)))**2 - sqrt(1008)) + 3 - (-6*(sqrt(308)*-3)\/sqrt(11))**2) + 3.\nAnswer: -7734 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 55 + 10*h - h**2 + 5 - 8*h.\nAnswer: -h**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.05. Let v = 288 + -283. Sort -4, v, s.\nAnswer: -4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*z = 3, 4*o - 3*z - 21 = -0*o. Let r = 3 - o. Let x = -0.2 + 0.1. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -85 (c) -0.3 (d) 23 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 + (4 - -21) + -9.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1648 and 50608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 0.6. Let k = 0.3 - o. Let r = 0.1 - k. What is the closest to r in -1\/4, -3, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (918 - 918 + 71*n)*(-n + n - 6*n) to the form s*n**2 + p*n + i and give s.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 190, 273, 354, 421, 462, 465?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906199699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -147821 (base 10) in base 2?\nAnswer: -100100000101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938 at most 6877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18))\/(-22 + (-410312)\/(-18666)).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 4. Suppose w*d - 44 = -4*v, 21 = d + v - 2. Let h(x) = -x + 1. Let a be h(-5). What is the highest common factor of a and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-13*120\/(-130).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdpwppbappwpppppp. Give prob of sequence adb.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 9. Let o be d(-11). What is the units digit of (o*-2)\/((-8)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107389062 and 28116?\nAnswer: 214778124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16175 and 1815685?\nAnswer: 5873740975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*h + 256*h + 259*h + 270*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 26. Let s be (-602)\/(-147) + 1 + f. Which is the closest to -0.2? (a) 4 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/19320 and -11\/2576?\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -131 (b) 5165 (c) -3.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -302 less than or equal to -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 25*o**2 + 5*o - 5. Let r be u(1). Suppose 12*j - 15*j = 2*v - r, 0 = 5*j - v - 46. Calculate the remainder when 23 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -27. Suppose c - 4*o + g = 0, 2 = 3*o - 13. List the prime factors of (0 + 1)*583\/c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 21747512314?\nAnswer: -21747512313.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/4 + 25665*g**2\/4 + 153882*g + 923076 = 0. What is g?\nAnswer: -25641, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6, 2*r + r + 2*l = 665. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*26836\nAnswer: 1207620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*t + 177 = 0, -5*t = 5*q - 2*t - 284. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556353?\nAnswer: 31, 82463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 20, 4*a - 2*z - 7 - 3 = 0. Suppose 3*i - a*c - 4 = 0, 0 = 5*c - 1 - 4. Determine h so that 1\/2*h**i - 1\/2 + 1\/2*h**2 - 1\/2*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 300, 3, 37, -121, -5 in decreasing order.\nAnswer: 300, 37, 3, 1, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((6\/30)\/(4\/10)). Suppose -5*y + m*h + 296 = -0*h, 2*y + 2*h - 104 = 0. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28314.1 and 0.04041.\nAnswer: 28314.14041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188360356 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 27 + 29)*(-54*t + 33*t + 22*t - 53) in the form c*t + s and give s.\nAnswer: -2491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 31314960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-35)*2\/(-4)*91\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:43 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llkslllklkklskk. Give prob of picking 1 k, 1 s, and 2 l.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -21. Suppose 4*g + g - v = -z, 15 = -5*z - g. Which is the closest to -0.1? (a) -2 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**4 + 140*x**3 + 1060*x**2 + 3040*x + 2880 = 0.\nAnswer: -18, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65861 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2005*h**3 - 2*h**2 - 2*h - 7. What is the units digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55644 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 541, 1225, 2181, 3409, 4909, 6681?\nAnswer: 8725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -657*i**5\/5 - i**2\/2 + 6659*i + 371. Differentiate k(h) wrt h.\nAnswer: -2628*h**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/171 and -50\/27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose 2*a = -5*d + r, 2*d + 9 = a + 6*d. Let z = 3 - a. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38237 is divided by 2940.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35845794 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {c: 6, d: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4204934 is divided by 1401631.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.285 * -790.\nAnswer: -225.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 2*y, 2*y + 12 = -3*k - k. Suppose 0 = -4*i - l + 3859, -y*i + l - 967 = -3*i. Suppose -3*g + 1481 = -i. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 610000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*b = -39, 3*b + b - 8 = 0. Suppose -8*g = -3*g - a. Suppose -6*c + 399 = -g*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 21. Solve 3*y - y = -h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/5, -0.07, 5, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -136, -99, -78, -79?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(484) - (sqrt(484) - sqrt(484)*-1) - sqrt(484) - sqrt(484)) + 0.\nAnswer: -sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.902 minus 25?\nAnswer: -15.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -583*12*(-44)\/5808?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6258510?\nAnswer: 2, 3, 5, 69539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 32 = -2*o, 30*s - 34*s = -2*o - 58. Solve z - 6*z = -s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 8 + 1388*d**2 - 1356*d**2.\nAnswer: 32*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -8. What is the remainder when 42\/(-2)*(-16)\/d is divided by 147\/(-28)*(-20)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -15\/18781 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25.25 - 25. Let f = 1.83 + a. Round f to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -0*a - 2*a + h, -5*h + 990 = 5*a. Suppose 0 = 45*w + 754 - 4714. Calculate the highest common divisor of w and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608356?\nAnswer: 2, 7, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924 is divided by 83?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.1616.\nAnswer: -0.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1156 + -1.1156. Let t = 18 - 35\/2. Which is the nearest to 0.04? (a) p (b) t (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58279128.\nAnswer: 2, 3, 17, 142841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.3 (c) 2\/3 (d) -9 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278\/22 + (-728)\/(-16)*(-138)\/483.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105 divided by -225?\nAnswer: -421\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - v**2 - v**2 + (1 - 2 - 2*v + 4*v)*(9*v - v - 5*v).\nAnswer: 5*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:54 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8 - 7*d - 11 - 14. Let f be i(-2). Which is the closest to 1? (a) 0.3 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237721\/45 + -43316\/9. Let p = -469 + n. Factor 3\/5*r - p + 1\/5*r**2.\nAnswer: (r - 1)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5791468 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*f + 197 + 243. Put f, -3, -4 in decreasing order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -31221\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 - 2. Suppose 8 = 3*x + x. Let h be w(x). Calculate the greatest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(15)\/sqrt(3)*3*-3 + sqrt(180)\/sqrt(4)*6)**2.\nAnswer: -2430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*p**3*u**3 + 15092487*g*p**3*u - 4*g*p**2*u**3 - 199*g*p*u**3 - g*p + p**2 - 110*u**3 wrt p.\nAnswer: 12*g*u**3 + 90554922*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 2*t**2 - 10*t - 34. What is a(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 543 and 28650852.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2096)\/(-88) + (-2)\/(-11). Suppose -3*h + v = 9. Let d(r) = -5*r + 28. Let f be d(h). Solve q = -f*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 2*f**3 + 3*f**3 + (-3*f**2 + 0*f**2 + 2*f**2)*(-16*f + 10*f + 16*f + 3) to l*f + p*f**3 + s*f**2 + h and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5474 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**9\/252 - l**5\/60 - 3*l**2\/2 + 2. Let g(y) be the second derivative of i(y). What is the third derivative of g(t) wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 1, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, v: 1}. Give prob of picking 2 x.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*q + 7*q - 15*q)*(1 + q - 4*q + 6*q) as p*q**2 + n + v*q and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6036 and 4024?\nAnswer: 12072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 15*n**3 - 57*n**3 + 67 - 74 - 79.\nAnswer: -42*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/333887 and -5\/28.\nAnswer: 9348836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410 + 206 - 2*q**2 + 204.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 345483 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2166 and 2.\nAnswer: -4332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8609 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 l(m) = 2*m**3 + 6*m**2 - 6*m - 18. Give l(-5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 29 = 3*s + 18, 0 = -s + 5*k - 25. Put s, 0, 1 in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31778 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -39*m - 21*m + 63*m. Let g(k) = -152*k**2. Determine v(g(p)).\nAnswer: -456*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13468*i**4 - i**3 + 15987*i wrt i.\nAnswer: 161616*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 - -254. Solve -2*h + y + 6 = d*y, -3*y = -h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*i + 3, 7*i = -5*q + 5*i + 9. Suppose 712 = q*v - 2*v - 3*r, 3599 = 5*v - 2*r. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*c + 46, -t + 2*t = -2*c + 18. Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 2*o + 58 = 38 - 152, -5*o - 25 = 0 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -1 - (-6 + -9). Suppose 6 = 8*s - k. Put s, 2, 0, -3 in descending order.\nAnswer: s, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 2458*k - 14763. Calculate s(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -65*s + 24. List the prime factors of x(-11).\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven fifths of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 900*v**2 + 10*v - 10. Let r(h) = 905*h**2 + 8*h - 8. Let j(y) = -4*o(y) + 5*r(y). Let f(z) = -2*z. Determine j(f(a)).\nAnswer: 3700*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.912 + 1.\nAnswer: 6.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.7. Let d be ((-592)\/40)\/(-2) + (-9)\/(-15). Suppose -28*r - 180 = d*r. Which is the second biggest value? (a) r (b) 3\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*q**5 - 24683*q**4 - 22493*q**3 + 24523*q**2 + 23668*q + 160 = 0.\nAnswer: -20, -1, -8\/1175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 109. Let c be 395\/35 - b - (-2)\/(-7). Solve 0 = 5*n - c*r - 2*r - 2, 3*n - 10 = -r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 17*u - 17. Suppose 3*f = i + 25, 2*i + 36 = -i - 4*f. Let o be m(i). What is the remainder when (-28)\/(-3)*(1\/2 - o) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55376698 to the power of 1\/2, to the nearest integer?\nAnswer: 7442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6 = -5*j. Suppose 4*w + b - 8 = 0, 2*w - 8 = -2*w - j*b. Solve p = 5*s - 8, 0*p - w*p = -s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 7.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226813772.9188 less than -3?\nAnswer: -3226813775.9188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:06 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/((-1085)\/64170*-69)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.68 * -0.0242971.\nAnswer: 0.016522028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124, 488, 1094, 1942?\n\"Answer: 121*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5343 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*i - 29 = 97*i + q, -4*q = -5*i + 50. Suppose a - 3 = 3. Suppose a*z - 156 = 2*z. What is the remainder when z is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3249*o - 1267. Is r(-37) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**3 + 4*w**2 + 2*w + 185. Is i(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52915 by -19.\nAnswer: 2785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-15) + 77\/(-15). Let l(k) be the second derivative of -k**3\/6 + k**2 - 2*k. Let p be l(5). Put -1, p, s in ascending order.\nAnswer: s, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (2 - 4)*(-2)\/(-4). Suppose y - h*y + 6 = 0. Let u = 8 - 2. Solve u*p = y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -17. Let w be -1 + -11 + (9 - 3). Let m = w - y. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjfjfjfjj. Give prob of sequence jjjj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.8 - 13.3. Let p = -1030 - -5149\/5. What is the closest to -1 in -2\/17, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + r - 3 - 18 = 0, 1954*j = 1952*j + 2*r - r - 43 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 2}. What is prob of sequence vvdd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 + (3 - 2 + 0)*(4 - 2 - 3))*(-n - 2*n - n) - 2*n + 24*n + 0*n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - 28*-1*1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26140530 (base 8) in base 4?\nAnswer: -112030011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328\/21 - -46\/3. Let k = 5022.4 - 5022.3. Which is the nearest to h? (a) -2\/17 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 - 156. Let m = -18 + o. Solve -2*l = -4*x - m, 5*x + 3*l + 9 = -0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13634 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 10:44 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 13*v**3 + 4*v**2 - 9*v. Let h(b) = -26*b**3 - 9*b**2 + 18*b. Let x(t) = 4*h(t) + 9*j(t). What is the second derivative of x(o) wrt o?\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pggpgggppgggpg. What is prob of sequence gppp?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**7\/1008 - 29*d**6\/720 + 37*d**5\/60 + 33*d**2. Let h(p) be the third derivative of a(p). Is h(-17) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 283119*f - 283079*f - 19*f**2 + 17*f**2. Let y(o) = 12*o. What is g(y(l))?\nAnswer: -288*l**2 + 480*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*u - 10*u = -46645, -2*d = 4*u - 18672. Suppose -9000 = -34*q + d. List the prime factors of q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198930397 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + n + 2*n**3 - 2*n**4 + 3*n**2 + 4*n**4 - 5*n**2 to the form t*n**3 + v*n + x*n**4 + y + s*n**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -55*n + 10. Is b(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 639*b + 4. Let i(d) = 3*d - 1. Determine 3*i(f) + x(f).\nAnswer: 648*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 0, 267 in ascending order.\nAnswer: -5, -3, 0, 3, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102943333711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 132 = -4*p - 682, p + 124 = 4*y. Let a = p - -193. 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 (31 - (0 + 3)) + 10 + (-23 + 44 - 39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 52463.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -536 (base 9) in base 11?\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*t - 129200 = 57*t. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 741*r**2 + 12*r - 8*r + 2420.\nAnswer: 741*r**2 + 2420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f + 14 + 122 - 9*f to the form a*f + r and give r.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -13066 and 30.11.\nAnswer: -13035.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 5*x - x)*(193*x**2 - 4 - 1153*x + 229*x**2 - 420*x**2).\nAnswer: 2*x**3 - 1153*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 11:32 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*u = -0*s + 23, 2*s + 3*u - 11 = 0. What is the least common multiple of 38 and s?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7150695.1702 - 7152058. Let k = x - -1363. Round k to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 46919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + (0 + sqrt(99)*-2)**2 + 0.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*(l**(1\/19)*l)\/l)\/l)\/l**(-23) assuming l is positive.\nAnswer: l**(476\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523472 (base 9) in base 16?\nAnswer: 2d4a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19305649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/280 and -65\/265216.\nAnswer: 1326080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((-1960)\/77)\/(-5). What is the biggest value in x, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 - 4670856*l**3 - 5.\nAnswer: -4670856*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 32*c + 8*c**2 - 9*c**2 - c - 9. What is the remainder when 403 is divided by b(9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 1017916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183888 and 9597932.\nAnswer: 5108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35cc8 (base 14) in base 6?\nAnswer: 2452440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27763456 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 171 (b) 91427 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/17))\/((b**(-4)*b*b)\/b*b))\/(b**(-8)*b**(-6))*((b\/b**(-3))\/b*(b\/b**11)\/b*b)**(5\/8) assuming b is positive.\nAnswer: b**(1701\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 612*w + 1809.\nAnswer: 3*(w + 3)*(w + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814946 is divided by 469156?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/4 + 19*i\/4 + 17\/2 = 0. What is i?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -11 + 36. Suppose 6 = j + 2. Suppose z - 1 = -w*r, -j*r - 15 = 4*z - 3. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 9*l - 9. Give y(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005857963 to five decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(-1\/20)))\/(m\/m**22) assuming m is positive.\nAnswer: m**(401\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 11:44 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/3 + 6424*a**3\/3 - 5158472*a**2\/3.\nAnswer: -2*a**2*(a - 1606)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r = -19453 + 18577 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208 + 210. What is the smallest value in b, 1, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2067572592 to the nearest integer?\nAnswer: 45471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*p = -3*j - 31, 2*j - 2*p + 34 = 0. Let f = j + 24. Does 18 divide (-2 - -438)\/4 - f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmdm when four letters picked without replacement from {m: 7, d: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - -3.6. Let o = 0 - 0.1. Let i = -39 + 39.5. What is the nearest to 0.1 in f, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.57 * 3\nAnswer: 13.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214 and 33277?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -542 (base 7) in base 16?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 7*t**2 + 5*t + 4. Let o be v(6). Suppose 31*i - 11*i - 115 = -15. Calculate the remainder when (o\/2)\/(1\/(-17)) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 - -156. Suppose b - 4 = k - r, 0 = b + 1. Solve -3*w + 2*t = k, -2*w - 3*t = 2*w + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25584688 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + (-19)\/4. Let m be (15\/12)\/(-5)*a. Sort -3, m, -3\/7.\nAnswer: -3, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 633141 and 927?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 4*t - 2. Let m be o(4). Let n be 2\/(-3)*3\/m. Let p = 5 - n. Solve -3*r - i + 8 = 0, -3*r - p*i + 13 = -2*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267 divided by -292.\nAnswer: 267\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 1, g: 2, u: 1, y: 5, m: 5}. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c - 87. Let f be w(10). Let a(j) be the first derivative of 0*j**2 + 0*j + 0*j**4 + 9 - 4\/5*j**5 + j**f. Find the third derivative of a(r) wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*w + 5*w, 2*m - 3*w + 53 = 0. Let l = 309 + -313. Is l\/m - 11912\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -708, -653, -602, -555, -512?\n\"Answer: -2*t**2 + 61*t - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 3 + 2*q in the form h + a*q and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)\/k)\/k)**(-14)*((k**(1\/11)*k)\/k)\/((k\/k**(-2\/9))\/k*k) assuming k is positive.\nAnswer: k**(3122\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -l - 1, -29 = -l - 5*g. Determine f so that 0*f**3 - f**2 + f**l + 2*f**3 + 0*f**3 - 3*f**3 + f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*q - 18*q + 22*q)*(0*q**2 - q**3 + 0*q**2).\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqossspq. What is prob of sequence qo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + (-45)\/(-9) + -12. Sort m, 176, 5.\nAnswer: m, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -393, -784, -1175, -1566?\nAnswer: -1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11346399.93 to the nearest 100000.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.914 and -637.31.\nAnswer: -623.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -366*g - 5. Let z(x) = -915*x - 15. Let q(r) = -12*h(r) + 5*z(r). Differentiate q(b) with respect to b.\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*k - 46*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 815, 810, 801, 788, 771, 750?\n\"Answer: -2*n**2 + n + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*l - 1943 = 0, -5*s + 2585 = -s + l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21201 - -1?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 + 22 + 4*w**3 - 6*w**3 + 5*w**3 + 3*w**3 + (-2*w + 0*w + 0*w)*(2*w**2 - 5*w**2 - 9*w**2)*(7 + 2 - 4).\nAnswer: 126*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304881.84ns to hours.\nAnswer: 0.0000000846894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80839887983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:59 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15343\/14 + 1092. Let j = 694 + -4237\/6. Calculate the common denominator of o and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2180 and 4360?\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - -0.1. Let q be (-3 - (-3 + 3))*(-12)\/(-24). What is the third smallest value in -1, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, 1 u, and 1 z when four letters picked without replacement from zawwagwuwkgaka?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202071385 to the nearest integer?\nAnswer: 14215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14047.984982 to 0 decimal places.\nAnswer: -14048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.523, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 2:08 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 2*t**2 - 14*t**2 + 4*t**2 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 455*r + 231577. Determine g(-305).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -176232 - -225?\nAnswer: -176005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789328?\nAnswer: 2, 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from zxzxxxzxxxxxxzzxxxx.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.54 - -306.54. Let m = o - 302. Which is the fourth smallest value? (a) -1 (b) -3 (c) m (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41661 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(7920))\/(sqrt(1100)*-3 + sqrt(11)))**2*5*1.\nAnswer: -720*sqrt(5)\/29 + 52245\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -3\/7409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5316.531 centimeters?\nAnswer: 53.16531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1632, 3259, 4882, 6501?\nAnswer: 8116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3*u**3 - u**3 - u**3)*(-2*u - 4*u + 4*u + (-2 - 4 + 5)*(2*u + 0*u + 0*u) + (9 + 9 - 4)*(13 - 13 - 8*u)) + 2*u**4 + u**4 - 5*u**4.\nAnswer: -118*u**4 - 116*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/(-14) - (-15)\/3 and -113\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 + 169\/3. Let n = 236 + -235.9. Let d = 167\/20 - 43\/5. What is the closest to d in 3\/5, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 4 = -h + 3*r, 5*r - 335 = -3*h. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12544 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 4. Let i = -93.1 - -90.1. Put k, i, 5 in decreasing order.\nAnswer: 5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 1 + 25*p**2 - 16*p**2 - 15*p**2 - 19 as l*p + j + q*p**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**4 - 19*w - 13*w + 24581*w**3 - 24583*w**3 + 0*w**4 + 48*w**2 - 2*w**5.\nAnswer: -2*w*(w - 1)**2*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 4*i = 10, i - 2 = 0. Solve v*m + 4 = 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1722, 1775, 1828, 1881?\nAnswer: 1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 12. Let s(a) = 3*a - w*a + 3*a + 3*a. Let f(m) = 652 - 652 + 6*m. Give f(s(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - g - 1. Let w(o) = 10*o**3 - o**2 + 6*o + 9. Give -14*n(c) - 2*w(c).\nAnswer: -6*c**3 + 2*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30760139 to the nearest integer?\nAnswer: 5546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.82 and 78.4?\nAnswer: -64.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-2)\/sqrt(10) + 4)**2 + (-3*sqrt(425)*-1)**2.\nAnswer: -16*sqrt(17) + 3909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 + 100010011001101111110010?\nAnswer: 100010011001110000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72342 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 3*j**2\/2 + 2*j + 7. Let m(o) = -21*o - 15. Let q(u) = 15*g(u) + 2*m(u). Let k(r) = 2*r. What is k(q(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20436 and 66.\nAnswer: 224796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 16 - (-11 - -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24632*j + 9306 = -24115*j for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, -3\/4, -1.7, -1, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1110111110011 (base 2) to base 14\nAnswer: -2b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-2025)\/(-9))*18?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-720)\/195*104\/(-12).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2\/13, 11031548?\nAnswer: 11031548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38.3*474468.\nAnswer: -18172124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 976842.6 weeks?\nAnswer: 590794404480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-6))\/(10\/15). Sort f, 0, -5.\nAnswer: -5, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*q - 3*y, 5*y + 25 = 4*q + 8. Calculate the remainder when 153 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25\/10*(-2 + 0). Put w, -2, 1 in decreasing order.\nAnswer: 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by -11.\nAnswer: 218\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 293196 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 6 - 63*t**2 + 64*t**2 as o*t + q + k*t**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 777731, 777733, 777735, 777737, 777739, 777741?\nAnswer: 777743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 665*a + 5980. Give o(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) 3 (c) 2\/11 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9361096km?\nAnswer: 936109600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 782 divide 21920242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.4 - 8. Let f = 0.02716 - -8.97284. Which is the closest to -0.1? (a) f (b) 4\/3 (c) -1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = 2*s, -4*n - 5*s + 49 = -10*s. Solve 6*t + n - 36 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -24. Solve -4 = 4*f + c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 982426?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 12:08 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -6083\/269?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.5, -2\/7, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a century in months?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m - 20. Let k be c(-6). Let h be (-304)\/(-12) + (-4)\/(-6). Let y = k + h. What is the least common multiple of y and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 550290.848 to the nearest one hundred.\nAnswer: 550300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 7013.\nAnswer: -7016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2014745 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/6 + (-1)\/(-6). Suppose -23 = -3*p + r, r + w*r = -p - 9. Calculate the remainder when 11\/2*(1 + 1) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5, -5*f - 2497 = -2*r + r. Is (-9)\/(-6)*r\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.4. Let h = 192 - 189. Which is the second smallest value? (a) h (b) x (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-8)*(-1)\/3. Suppose 34*g + 93 - 25 = 0. What is the nearest to 0.2 in 4, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -55 - 8*n + 55 + 0*n. Let a(t) = 7*t + 5. Suppose 54 = -4*h + 14. Let l(c) = 4*c + 3. Let m(y) = h*l(y) + 6*a(y). What is w(m(s))?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 5, -0.09, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735904510?\nAnswer: 2, 5, 17, 600659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, y: 5, c: 2, t: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637592933 to the nearest integer?\nAnswer: 25251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 3. Let s(i) = 5*i. Let c be s(y). Let o = -3 - c. Solve f = -5*d - 20, -d - 2 = o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 - 236. Solve -h*l = -6 - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10303212 (base 6) to base 5\nAnswer: -34211432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/(-7)*28\/10. Let c be 1\/(2\/(-8)) + 43. Let r = c + b. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 - 127 = -2*i + 3*d, -9 = 4*i + d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35041\/8 + -4387. Let p(z) = 25*z**2 + z - 1. Calculate the common denominator of x and p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-7) - (40\/72 - (-700)\/(-126))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**3 - 154 + 465 - 154 - 158.\nAnswer: 36*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -517681, -517687, -517693, -517699, -517705, -517711?\n\"Answer: -6*s - 517675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56054456?\nAnswer: 2, 43, 47, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-870)\/12*((-56)\/(-5))\/(-2). Suppose s + 8*g = 3*g + 192, -2*s = -g - x. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + -5)*(-2 - -1). Let o = -16 + a. Let k be 0 - (0\/(1 + 3))\/2. Solve k = o*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u - 21*u - 16*u + (-9 + 10 - 5)*(0*u - u + 2*u))*(5 - 2 - 4).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1980.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -44?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*j + 174 = 182, 3*u + 5*j = 27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169987 + 169984. Let f be (1 - (-34)\/(-22))\/(-2). What is the second smallest value in -6\/11, j, f?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 56 - 238 = 0. Let f(l) = 3*l**2 + 20*l - 10. Let u be f(-9). Let h = b + u. What is the highest common divisor of 44 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2. Suppose -j - 29 = -27, -3*x + 3*j = -15. Let t(p) be the third derivative of 0*p - 7\/24*p**4 + 0*p**x + 0 - 6*p**2. Calculate f(t(r)).\nAnswer: -98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19088 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b34 (base 14) to base 4.\nAnswer: 202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 5\/2*o**2 + 3 + 2*o. Let q be w(3). Calculate the highest common factor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81003*y**3 - 148*y**2 - 140*y**2 + 288*y**2.\nAnswer: 81003*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 2*o**2 + o**2)*(-251*o**2 + 121*o**2 + 124*o**2).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 14. Let t(a) = 2*a - 20. Let m be t(8). Let n be l(m). Let r(k) = -k**2 + 5*k + 1. Give r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*h**2 - 462*h**2 + 228*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 146\/3, -0.16, 1\/4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + i = 7, -3*i - 5 = v - 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 223 + 167. Let b be (-3)\/5 + t\/(-15). Solve -2*r - 3*r + 3*y + 18 = 0, -r - b*y = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2776*s + 2776*s - 38*s**2.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.051 (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -549 - -549. Let i(r) = -r + 12. Determine i(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 33 + 12*b**2 to the form t*b**2 + w + a*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*q - 13, 25 + 0 = -5*q. Differentiate 138 - 101 + 165 + 61*k**3 - 37*k**3 - 267*k**m wrt k.\nAnswer: -729*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 - (-4)\/(-3)). Let m = -2140.8 - -2141. Which is the second smallest value? (a) r (b) m (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.4 (c) 7 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226*g - 1226*g + 14*g**2 - 38*g**2.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, 156, -1, -2, 2 in increasing order.\nAnswer: -2, -1, 2, 156, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*f = 143*f - 258*f + 183*f + 12994 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 12. Let m be i(-10). Suppose 3*y - m*y - 76 = 0. Let s = -26 + y. Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/5)\/(((-480)\/(-3600))\/(2\/(-10)))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2802266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1300188620 by -437.\nAnswer: 2975260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 370053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131013068 a multiple of 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44949558, 89899112, 134848666, 179798220, 224747774, 269697328?\n\"Answer: 44949554*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 21*o**2 - 19*o + 15. Let n be z(-20). Let s(c) = c + 7. Let x be s(n). Factor 2\/5*k + 2\/5*k**4 - 4\/5*k**x + 2\/5*k**5 - 4\/5*k**3 + 2\/5.\nAnswer: 2*(k - 1)**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7696*d + 161860. Determine w(21).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -807*j**4\/2 + 436*j + 727. What is the first derivative of l(i) wrt i?\nAnswer: -4842*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-25)\/15. What is the derivative of -3 + 2 + b*f**4 + 4 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.23796 decades in millennia?\nAnswer: 0.0823796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*h + 11*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 26*q**2 - 24*q + 28. Let l be s(-25). Sort -4, 12, l in increasing order.\nAnswer: -4, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1544*r + 206*r = 381*r - 9824 + 49525 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i - 9. Let f be l(7). What is the closest to -2 in -1\/2, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*v - 104 = 274*v - 1820 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -3. Let l = 29 - c. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-63 - (-3 + (-13 - -18))) - 5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(-9)))**39*o**5*o*o**(1\/13) assuming o is positive.\nAnswer: o**(-4991\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18140 - 8676. Is s\/21 + (-2)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 389826558681 - -25.\nAnswer: 389826558706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*d - 150, -2*b - 4*d + 77 = 29. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**2 - 10840*a + 2371200 = 0.\nAnswer: 240, 2470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, 2\/9, 39\/353?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 393 = -5*w + 273, w = -u + 136. Suppose -11*x + 4*p = -8*x - 86, 2*p = 5*x - w. Solve -4*t = x - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r - 78. Let y be p(-16). What is the highest common factor of 125 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476137439?\nAnswer: 3, 7, 29, 107, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-60)*-5)\/(6\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -14501605.73 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 0.021, -2, -485, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*q + 289*q - 575*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2895 is divided by 1409.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21495\/946 + 1194\/43. Let x = -1\/6195 + -113569\/37170. What is the common denominator of x and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -688*a + a**2 + 685*a + 0*a**2 + 21 to the form u*a**2 + m + q*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -26892.49?\nAnswer: -134462.45","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23999933 + 0.24. Round f to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569336 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3359207ug in grams?\nAnswer: 0.0000003359207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5432*l - 1368192 = 3017*l + 5803*l for l.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:09 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*c, -v - 2*v + 19 = 5*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18443, -18447, -18451, -18455, -18459?\n\"Answer: -4*l - 18439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1345 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, g: 1, u: 1, c: 1, t: 1, w: 1}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 68*v**2 + 4*v - 3. Let j(x) = 70*x**2 + 5*x - 3. Determine 4*j(w) - 5*l(w).\nAnswer: -60*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12806, -12800, -12792, -12782?\n\"Answer: o**2 + 3*o - 12810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*d - 163, v - 5*d = 4*v - 96. Let q = v - 43. Is 4\/q - 39391\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -195 - -200. Suppose -b = o*h - 12, 12 = -8*h + 11*h + 3*b. Solve h = -2*t + 4*g - 10, -4*g = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**17*j\/(j**(-3\/11)\/j))\/(j**(-14)*j*j**(-3)\/j) assuming j is positive.\nAnswer: j**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) 0 (c) 0.11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14235*g**2. Let l(x) = 2*x**2 + 233*x. Calculate l(r(w)).\nAnswer: 405270450*w**4 - 3316755*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*c**3*z + b**3*z**3 + 44*b**3 + 2*b**2*c**3*z**2 + 5*b**2*c**2 + 28*c**3*z**3 wrt b.\nAnswer: -6*c**3*z + 6*z**3 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 15618*g**2 + 23427*g - 15618. Let u(z) = 3*z**2 + 3*z - 2. Determine t(j) - 7809*u(j).\nAnswer: -7809*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 + p**2 - 3*p + 4. Let t(f) be the second derivative of -3\/2*f**2 - 1\/12*f**4 + 1\/3*f**3 + 1\/5*f**5 + 0 + 7*f. Give -4*t(b) - 3*y(b).\nAnswer: -b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 2*o. Let m = o + 6. Find the second derivative of 5*j**m + 3*j + 0*j**4 - j wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -236*v**2 - 2*v. Let b(p) = -471*p**2 - 3*p. Calculate -4*b(l) + 9*n(l).\nAnswer: -240*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 752*w**3 - 293*w**2 - 732*w**3 + 278*w**2 in the form p + r*w**3 + k*w**2 + x*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p - 18. Let q be t(-5). Let j(r) = q*r + 8 - 4*r - 23*r - r**2. What is j(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 514, 1775, 4238, 8305, 14378, 22859, 34150?\n\"Answer: 67*h**3 - 2*h**2 - 2*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 149*t**2 + 43*t - 126. Is s(3) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, -4, -2\/15, 147, -2\/19?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - (2 + sqrt(432) + 0 + sqrt(432))) + sqrt(432) + 2 + -2 + sqrt(432))*-6)**2.\nAnswer: -1728*sqrt(3) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 6084.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5*(3 + -2) + (-549)\/(-183)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*a = -26, 5*u - 19 - 9 = -4*a. Let z(n) = 16*n. Let k be z(1). Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54337532 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2896*j**2 - 5881652*j + 5881651*j + 201*j**2.\nAnswer: -2695*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/(12\/2) + -4. Let n(h) = -14*h - 3. Let g(o) = -o + 1. Let x = 4 + -5. Let s(d) = x*n(d) + y*g(d). What is the derivative of s(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/2)\/(-56)*-5*10\/(-25).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.42 - -0.425. Let a = -0.105 + f. Sort -0.6, a, -2\/7.\nAnswer: -0.6, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -1575*m**5\/8 - 15907*m**4\/8 + 15533*m**3\/2 - 876*m**2 - 10316*m + 118 = 0.\nAnswer: -118\/9, -1, 2\/175, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 465620568*x**3 - 3449750*x - 16 wrt x.\nAnswer: 2793723408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 5. Let s be f(11). Calculate the highest common factor of 204 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 + 7 = 0. Which is the closest to 4? (a) -0.5 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68790000 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*b - 2*b + 1054 = 0, -2*w + b = -1058. What are the prime factors of w?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35202.71cm in nanometers?\nAnswer: 352027100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 360. Suppose 5*u - y = 2*u. Suppose 13*v + 27 = 16*v. What is the remainder when u is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 + -1020010?\nAnswer: -1022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794885 to the power of 1\/2, to the nearest integer?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153718 + -23979923\/156. Calculate the common denominator of s and 1\/546.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1290970 and 20.\nAnswer: 2581940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fft when three letters picked without replacement from {f: 2, t: 2, r: 5}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215303 (base 6) in base 15?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 7, g: 2}. What is prob of sequence gkg?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:19 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53092 is divided by 1116.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -5, -1, -4, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1055350 - 220?\nAnswer: 1055130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1769*t + t**3 + 1596*t - 3365*t.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.165 centuries to decades.\nAnswer: 6881.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4 and -81\/368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 + 12 = 0. Suppose -5*b = 5*w - q*w - 1147, 5 = -5*b. Let t = -195 + w. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*3\/(-36) + 0. Put f, 1\/3, -2, 1 in ascending order.\nAnswer: -2, f, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a702 - 0?\nAnswer: a702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 1425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)\/z)\/(z**(-5)\/z*z)*(z\/(z*z**2))\/((z\/z**4)\/z) assuming z is positive.\nAnswer: z**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 36*u**3 - u + 2. Determine d(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*h*i - b**2 + 37*b*h*i + 8*h*i - 2*i - 20 wrt b?\nAnswer: 4*b*h*i - 2*b + 37*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7190, -7235, -7290, -7361, -7454, -7575, -7730?\nAnswer: -7925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114 + 226 - 112 - 845*u to the form x + q*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-15715)\/(-245) - -34\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccsccscsccsc. What is prob of picking 2 c and 2 s?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -3*13) + 1. Let n = r + -28. Let b = -2 + n. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001118517*r + 629*r**3 - 1001118517*r.\nAnswer: 629*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let s(o) = -13*o. What is f(s(y))?\nAnswer: 338*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 - 0\/(12\/(-3)). Let f = 17 - -7. Solve -2*p - h - 7 + r = 0, f = 4*p + 4*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r + 6*r - 17*r.\nAnswer: -38*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 11. Suppose -3*u = u - 20. Let g = u + -3. What is the remainder when t is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-234)*(10 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11409 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8 + 23. What is the nearest to 0 in 0, -0.3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)*(-135)\/90 + 3. Let o(p) be the second derivative of 3\/20*p**5 + 2*p - p**3 + j*p**4 + 0 + 0*p**2. Find the second derivative of o(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -12. Let c(s) = -s**3 - 6*s**2 + 7*s - 5. Let d be c(-7). Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**6\/20 - 9*l**5\/40 - 255*l**4\/8 + 259*l**3\/4 + 765*l**2\/2 - 9474*l. What is x in p(x) = 0?\nAnswer: -15, -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mon when three letters picked without replacement from mnomooo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - g + 2 + 5 - 5 - 2*g + 2 - g - 2 + (-5*g + g + 2*g)*(3 - 4 + 3) + (-g - 4*g + 4*g)*(-2 - 3 + 3) as s*g + h and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z, 4*b - z - z - 18 = 0. Let o = b + 1. Let t(p) = -53*p - 21. Let d be t(-1). What is the greatest common divisor of o and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/100)\/((-3)\/(-10)). What is the biggest value in -2\/9, 0, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*z + 9 - 126 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 31*r**2 - 3*r - 87. Give k(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 6:25 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4\/18 + 656*q**3\/3 - 322752*q**2 + 211725312*q + 326. Find v, given that x(v) = 0.\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 19. Let a be (-9)\/l + 26\/8. Suppose 2*z = 4*m - 38, a*m - m - 3*z = 36. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026354744 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2. Suppose 0 = 3*w - 10 + 1. Suppose 3*p + 3*f - 16 = 2*f, f = 2*p - 4. Let u(n) = -w + 3 - p*n**2. What is -2*u(g) + 3*z(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848*z + i + 11 = 1850*z, -i - 19 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 993 - 1411. Let z be 1\/3*3 + 1. Sort z, 4, q in increasing order.\nAnswer: q, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448764758.\nAnswer: 2, 11, 4519, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323605 take away -8.03?\nAnswer: 323613.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493223 is divided by 2418?\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5497 and 2629?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243073791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b05 - 14374?\nAnswer: -19179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -2d?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*i**3 - 21*i**3 + 75*i**3 + 19*i**3.\nAnswer: 110*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 752463 - 5?\nAnswer: 752458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 17*t + 7. Let n be b(16). Find the common denominator of (-200)\/4650*n\/(-16) and 33\/10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37104.\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68262877?\nAnswer: 19, 97, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0*m - 14 + 16 - 2*m.\nAnswer: -2*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36723.07l in millilitres?\nAnswer: 36723070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/54)\/((-46)\/276). Sort m, 10, 0.6, -1\/7 in decreasing order.\nAnswer: 10, 0.6, -1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let k = 0 + 3. Suppose -18 = -2*n - k*i, -n - 5*i + 14 = -3*n. What is the closest to p in n, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:07 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -5*u, 0*t = -u + 4*t - 4. Calculate the greatest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4715718 * 0.4.\nAnswer: 1886287.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100\/13 + -1487\/195. Which is the second biggest value? (a) w (b) -2\/7 (c) 0 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3892, 3773, 3642, 3499, 3344?\n\"Answer: -6*p**2 - 101*p + 3999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*(-3)\/45 + (-10)\/(-75).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c + 12511b9?\nAnswer: 125119d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - i - 6 - 23, i = 1. Suppose -16 + s = -t - 5*z, -3*z = -3*t - 60. Which is bigger: t or -63\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10338577 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: Collect the terms in -362*f**3 - 420*f**3 - 227*f**3.\nAnswer: -1009*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3998209015868117749 - -40485864240724919920871\/10126. Let b = 25079561588 + a. Let r = -1\/15189 - b. What is the common denominator of 54\/11 and r?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + (-1 - -40 - 10) + -27?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939340 divided by 4570?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 224. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*r = -103*r - 2432. What is the third derivative of r*z**4 - z**2 - z**3 - 551*z**4 + 5*z**2 wrt z?\nAnswer: 1368*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + 0*g + (-2 + 0 + 1)*(-1 + 1 + 2*g))*(0 + 12 + 2).\nAnswer: -70*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.05 (c) -1.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3811 or 3821?\nAnswer: 3821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.1 (b) 4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138270*g**2 + 24*g - 24*g - 138277*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + (337 - 2) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 76 = 8 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/((-162)\/135)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(275) - (2 + sqrt(275))**2) + 5 + -1*sqrt(275))*2.\nAnswer: -538 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(2057) + -5)**2 + -1.\nAnswer: -440*sqrt(17) + 8327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0 + 3*g**2 + 1\/6*g**3 - 3*g. Does 12 divide y(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Let p(x) = -3*x + 2*x**2 + 23*x**3 - 3 + f + 63*x**3 + 0. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (27 - 13) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p - 2808 = -61*p + 23*p. Solve p*f + 279 = 55*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = 14*v - 12441. Calculate the highest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 26. Suppose 0 = 4*j - 70 - 26. Calculate the greatest common divisor of g and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1136000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7234, 7206, 7160, 7096, 7014?\nAnswer: 6914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:32 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 1 - 117 = 127*f + 32*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2, 1\/7, 1\/37, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110\/71, -0.5, -0.2, 5, 1, -97 in increasing order.\nAnswer: -97, -0.5, -0.2, 1, 110\/71, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1555*l**5*s**3 - 8*l**5*s + 247*l**2 - 31*s**3 wrt l.\nAnswer: -93300*l**2*s**3 - 480*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:58 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/4 (b) -1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**4 - 216*i**3 - 2692*i**2 + 6048*i - 3136 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.38 (b) 1\/3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276674935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b - 3. Let m(p) = 4*p + 3. Let z be m(4). Let s(d) = z + 2*d - 6 - 37. Let x be s(11). Determine h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.802 minus 9708.9?\nAnswer: -9727.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2542190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7067*l**2. Let i(f) = 7*f**2 + 3*f + 3. Let s(u) = -40*u**2 - 17*u - 17. Let b(x) = 17*i(x) + 3*s(x). Determine z(b(w)).\nAnswer: 7067*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -871 take away -2?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 214 by 2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (21*32\/(-3696))\/(3\/(-9)*6\/2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 60 + 81 = 3*m, -2*m = l - 105. Let y = 1221 + -1271. Let c = m + y. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -324*k + 846*k - 65790 = -768*k for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/6 + 3*8*1. Let x(p) = p**2 + p + 12. Let d be x(0). Let z = d + -7. Solve -4*w - a = 5*m, 2*m + 3*w = -z - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 1. Let l(w) = -2*w + 1. Let y be l(1). What is the units digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -5 (c) -2178\/19 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -273*j**2 + 5*j - 315. Let h(m) = 2*m**2 - m - 3. Let c(v) = -5*h(v) - l(v). What is the first derivative of c(x) wrt x?\nAnswer: 526*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 516?\nAnswer: -50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-50)\/(-15))\/(2\/(-6)). Let m be (-4)\/o + 3\/5. Factor -3*i + 6*i**3 - 3*i**3 - 3*i**4 + 1 + 3*i**2 - m.\nAnswer: -3*i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 6. Let z(j) be the third derivative of 9*j**2 - 5\/6*j**3 + 0*j - 1\/6*j**4 + 0. Let b be (-2)\/4*36\/(-3). Calculate b*z(f) - 5*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 106105*w**2. Let r(q) = 3*q. Calculate r(b(y)).\nAnswer: 318315*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2 + 3. Let m(j) = -8*j + 14 + 9*j - 1 - 27 + 13. Let k(u) = 4*u**2 - 7*u + 5. What is t*k(l) + 6*m(l)?\nAnswer: 4*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -0.013034.\nAnswer: -0.0006517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*l = 100996, -5*l - 303002 = -3*t - 6*l. What is t rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 5)*((-2 + 2 + 2*d)*(5 - 5 + d**2) - d**3 + d**2 - d**2 + 4 - 4 + 2*d**3 - 7*d**3 + 2 - 2) in the form q*d**2 + g*d + b + s*d**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 3.45?\nAnswer: 3.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(130)*-1 + sqrt(130))*-3)\/(1*-3*sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11656691437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 13*u - 12*u. Let i(v) = 79*v + 10. Let k be i(u). Let b be 4 - 260\/(4 + -9). Calculate the highest common divisor of b and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575409.\nAnswer: 11, 197, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*p + n, 5*n = 3*n - 6. Let h = 3 + -2. Let b = p + h. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 63 = -8*f, -3*a - 2*a = 2*f - f + 44 + 24 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 194 = 4*y - 104, -4*y + 400 = 4*c. Calculate the greatest common divisor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 - 2. Let j(t) = -t**3 + 5*t**2 + 3. Determine 3*f(u) + 2*j(u).\nAnswer: -2*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, s: 1, o: 3, q: 1, u: 1, z: 4}. What is prob of sequence jzq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*h**3 - 881*g**3*h - 3*g**3*l - 2*g**3 - 2*g**2*h**3*l - g**2*h**3 - 45*g**2*l - 4*g*h**2 + 4*h*l wrt g.\nAnswer: -12*h**3 - 5286*h - 18*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w + 4*b, -w + 2 = b + 3. Suppose -3*k = -s - w - 8, -5*s = 3*k - 27. Let m(v) = 1 + 4*v**2 - k*v - 9 - 5*v**2 - 6*v. Determine m(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 7*g + 12. Let y be x(-1). Let s(v) be the second derivative of 0*v**3 + 0*v**y + 0 + 4*v**2 - 11*v + 2\/5*v**5. Differentiate s(d) wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -12. Find the third derivative of m**2 + 5*m**2 - 3*m**2 - m**y wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Let g(d) = 25*d - 40*d**2 + 10 - 33 + 79*d**2 - 40*d**2. Let s be g(26). Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3652460 and 16.\nAnswer: 14609840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-1890)\/243 - (-16)\/(-6). What is the greatest common divisor of q and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/465)\/(75240\/31350)\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/540859 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3630 and (252\/(-24)*1 - -13)*(-42)\/4840?\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-7) - (-508)\/28. Solve 3*n + w = 4*c, -4*n - 16 = -0*n + 4*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g**2 + 5*g - 5. Let o(n) = 8*n**2 + 3*n - 3. Give -5*o(c) + 3*s(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**2. Let i(p) be the first derivative of 2*p**3\/3 + p - 314. Calculate i(f(d)).\nAnswer: 128*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -16. Calculate the common denominator of -83\/10 and t\/(-1 + 1 + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - 0.31. Put -0.2, 1, -1\/2, i in descending order.\nAnswer: 1, -0.2, i, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 64\/(-20))*5. Let c = -8 - a. What is the lowest common multiple of c and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 9 + 25 - 17)*(-2*h + 0 + 0).\nAnswer: -6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*g - 4035, 0 = -4*f - 26*g + 28*g + 3258. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(0\/2 + 1) - -1. Suppose -8 = -j*b - 3*a - 0*a, 5*b - a = 10. Solve i - 4*n = -n + 4, -b*n = -4*i - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073809.\nAnswer: 2073809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/205 and 11\/25?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 872988076?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -4*w - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -305 (b) 0.6 (c) 0.5 (d) 2\/11 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328868049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 5, w: 3, s: 2}. What is prob of sequence wcw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -79*s**3 - s**2 + s + 1. Let f be c(-1). Suppose 2*y = 34 + f. Let z = 53 + y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**2 + 7*i**2 + i**2 - 4 wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*((((p\/(p*(((p\/(p\/(p\/p**10))*p*p)\/p)\/p)\/p*p)*p)\/p)\/p)\/p)\/p*p*p)**(-3\/37)\/(p*p\/p**(12\/5)*p**(2\/45)))**(-18) assuming p is positive.\nAnswer: p**(1516\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*i + 0*i + 24 = 0, -38 = -4*l + 2*i. Let v be (-3)\/(-1 + l)*-34. Calculate the highest common factor of 170 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14219999 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n. Let h(a) = 2*a. Let i(p) = -2*p. Let z be (6\/9)\/(4\/(-30)). Let y(c) = z*h(c) - 6*i(c). Calculate y(s(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5260 and -1234725599.\nAnswer: -1234720339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -541 - -543. Solve u + 5 - 6 = r*o, 5*u - 4*o = -7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 2*u + 8, -12 = 3*r - 3*u. Suppose r*t - 36 = -3*t. Suppose t*d - 420 = 5*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17768 is divided by 8716?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2260355.1 minutes?\nAnswer: 37672.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -2) + (23 - 31)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 4.9, 3046\/3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 21. Let a(s) = -s**3 + 16*s**2 - 20*s - 3. Does 32 divide a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 6*m**2 + m + 10. Let o be l(6). Solve 6*u + o = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5730778?\nAnswer: 2, 67, 42767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49.85438 millimeters?\nAnswer: 49854380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 - (-2*3733 + (-180)\/(-12) + -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(171) + sqrt(171) + 1 + sqrt(171))**2 + (3*(sqrt(19) + -1 + -4))**2.\nAnswer: -1144 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odd when three letters picked without replacement from olodjouljodjoulo?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/3)\/(((-201)\/(-2))\/1). Is -1\/2 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 - 128 + 29)*(-6*c**3 + 4*c**3 + 4*c**3) to q*c**3 + t + f*c + o*c**2 and give q.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20178648 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 0.115987347\nAnswer: 0.284012653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12833970 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 31132320?\nAnswer: 31132310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24699633 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567*q + 12423 = 570*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -15, 725, -1, 5 in increasing order.\nAnswer: -15, -1, 5, 16, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601420?\nAnswer: 2, 5, 30071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -22*b**2 + 3*b + 3. Let q(f) = f + 1. Calculate m(s) - 3*q(s).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 6*y - 3*v - 348, -224 = -2*y + 4*v. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2705 - 675*w - 8108 + 2698 + 2705 to s*w + m and give s.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j. Let k(m) = 6*m**2. Calculate k(x(n)).\nAnswer: 384*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r - 6*r - 5*r + (-2 + 4 - 4)*(-r - 1 + 1) + 2*r + 1 - 1 + 6 - 3 - 4 - r - 4*r + 5*r + 11*r.\nAnswer: 13*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/14*2 + 1\/112 and 101\/280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 7. Let p(m) = 4 + 7 + 1 - 2 - 12*m. Let y(k) = 7*a(k) - 5*p(k). Find the first derivative of y(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p + 3. Let x = 294 - 296. Calculate q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458 - 458 - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**5*a**(1\/4)*(a**(-3\/4)*a)\/(a*a*(a*(a\/a**9)\/a)\/a) assuming a is positive.\nAnswer: a**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 977, -1829 in descending order.\nAnswer: 977, 4, -1829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) - (-16)\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -5\/2*o**2 - 2*o**3 + 91 - 105*o. Differentiate s(t) wrt t.\nAnswer: -12*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 6*y - y. Calculate the least common multiple of y and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b - 59*b = -12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 9*h**4\/4 - 2*h**2 + 7. What is the second derivative of u(q) wrt q?\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4021596160.\nAnswer: 2, 5, 17, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 387, 630, 905?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2558488 (base 11) to base 10.\nAnswer: 4432810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 2*z + 43. Let n be p(0). Let u = n - 39. Solve -t = -u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-13)\/j)\/(j\/j**6))\/((j\/j**13)\/(j**1*j*j)))**(-1\/33) assuming j is positive.\nAnswer: j**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*q + 1242, 7*q + 20 = 2*q. List the prime factors of d.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*x - 28 = -2*x, 5*x + 21 = 3*k. What is the third derivative of -3*h**5 + 5*h**5 - 8*h**5 - k*h**2 wrt h?\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Let d be (-2)\/9 - (-2)\/9. Suppose -2*u = 6, 3*b - 8*b - t*u + 18 = d. Solve 2*f - 2 = b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.758884 - 114.769188.\nAnswer: -112.010304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 1331\/5*t - 128\/5*t**4 + 704\/5*t**3 - 116 - 1452\/5*t**2. Find r such that w(r) = 0.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1801803 equal to -1801822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -q - 13, 0 = -2*q - 9 - 1. Suppose 0 = g + u*m - 14 - 1, -4*m + 45 = 5*g. Let k(i) = 1 - 2*i + 0 - g + 0*i. Calculate k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnpcu. What is prob of sequence cu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 2*x - 5. Calculate c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6003, 12022, 18041?\nAnswer: 24060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26219654833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/7 (b) 2205 (c) -1\/1132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080257527.\nAnswer: 31, 367, 94951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepoeepoopvevvppvc. Give prob of sequence ov.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1734 + 1733.9291. Let l = -416.9291 + k. Let m = 417.0171 + l. What is m rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**0)**40 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10643 and 12989854?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80224798 and 441236389.\nAnswer: 882472778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**33)**(-49) assuming j is positive.\nAnswer: j**(-1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1404356 (base 10) to base 6\nAnswer: -50033352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8545 and 0.4.\nAnswer: -0.7418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*v - 760010 + 25310 = 6361*v for v.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 17. Let t(w) = -w**2 - 4*w + 2. Let h be t(d). Let v(o) = -o**2 + 4*o + 4. Determine v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 3*w - 5*w - 8*w**3 + 6*w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4 - 1183*t**3 - 168375*t**2 - 659368*t - 654668 = 0.\nAnswer: -721\/2, -227, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**2 + 0 + 1\/6*v**3 + v. Suppose 4*r - 7 = -23. Determine o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 15.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -232*k**3 - 8112 - 8739*k**2 - 3*k**4 - 9295*k - 86*k**3 - 3265*k - 3976*k = 0.\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 119*z**3 + 4 + 143*z**3 + 2*z**2 - 265*z**3. Let d(w) = -3*w**3 + 2*w**2 + 5. Give -4*d(b) + 5*i(b).\nAnswer: -3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1*(-17 - -2). Is -9 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 + 2*q**4 + 89 + 10*q**2 - q**2 - 15*q**2 - 90 to l*q**4 + k + u*q**3 + s*q + z*q**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 + 166 + (1 - -4 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 28. Let l be (-8)\/m*(-9 - -1). Suppose 13*f = 7*f + 6. What is the closest to f in 0, -4\/3, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/8 - 5*v**3\/6 - 41*v**2. Let x be o(-3). What is the nearest to -0.3 in 0.2, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 30*w - 57*w - 285 = 0, 2*w + 36 = 4*h + 6 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (1 - -34) + 26 - (1 - (9 - 3))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/5 - 14*p + 228\/5 = 0. Calculate p.\nAnswer: -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397913 is divided by 15706.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -7*v + 5*j, 0 = -4*v + 3*j. Suppose -v*h = 5*n - 3770975, -51*h + 56*h - 4*n - 6285020 = 0. What is h rounded to the nearest 10000?\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 121044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -2057, -4626, -8229, -12866, -18537, -25242?\nAnswer: -32981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 257 - 323 + 1166. Let w be z(0). Let g = w + -6551\/6. Find the common denominator of g and -35\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52008 and 485408.\nAnswer: 1456224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)\/(u**(-1)*u)*((u*((u**1*u)\/u)\/u)\/u)\/u**(-6)*((u\/u**(-1))**(-2\/13))**(-15\/2) assuming u is positive.\nAnswer: u**(229\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28 and 7.9.\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011110 (base 2) in base 7?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770756597 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18079 + -18075. Solve 9 = z - 4*c, 8*c - 11*c - j = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 42*c**2\/5 - 2042*c + 972\/5 = 0.\nAnswer: 2\/21, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38338 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8 - 82 - (14 - -8)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/5, -22, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/(l**(-9)\/l))*l**(7\/2)*(l\/(l\/(l*l**2)))**(-1\/44))**(-10\/7) assuming l is positive.\nAnswer: l**(1445\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = -22*r + 8. Let l(w) = -w**2 + 19*w - 17. Let a be l(18). What is the biggest value in -9, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 6*i - 64. Let a(h) = 6*h**2 + 19*h - h - 78 - 4 - 112. Let x(z) = -3*a(z) + 8*p(z). What is the first derivative of x(s) wrt s?\nAnswer: -4*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-57)\/(-12) + (-2)\/(-8). Suppose -2*a + r*n = -a - 15, 25 = -5*a + 5*n. Let s(v) = -v - 5. Let i be s(a). Solve 5 = -k, -k = 3*z + i + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8456.57 + -8416. What is a rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 339 - 2176 = -2*m, 3*m = -4*x + 3760. Calculate the greatest common divisor of 162 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 19*z**2 + 3*z + 4. List the prime factors of m(-18).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.2 (c) -348 (d) -22 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2849 (base 14) to base 11.\nAnswer: -5394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 + 12*c + 2*c + 6*c + 21*c + c**2 - 4*c**2 in the form z*c**3 + y*c**2 + o + g*c and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-250)\/4*(-2310672)\/115. What is a rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 + 2)*(-5 - 2 + 5) - 99 + 132 - 195)*(11 - 6*r - 11) to h*r + o and give h.\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -3301?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-225)*(24\/4)\/(2\/(16\/28))?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -2*l - 4, -4*o + l + 7 = 0. Let x = -2 + 2. Suppose -5*d + 3*i + 12 = x, 2*d + 1 = 5*i + 21. Solve -o*h - 2 = -d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4440)\/(-5328))\/((10\/(-12))\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680441795 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*y - 12, 6*u = 2*u + 5*y + 6. Let j = 497\/9 + -55. What is the smallest value in j, u, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 6:32 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 - 0.44. What is the second smallest value in j, 3.18, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -49*o + 47*o, 2*f - 5*o + 18 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 88 + 2502. Calculate the greatest common divisor of 1110 and i.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10310 at most as big as -10311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -6 + 3 - (1 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 2*s - 20 = 4*v, 5 = -5*s - v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591417154 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: Let y(n) = n**3 + 7*n**2 + 10541*n + 52656. What is y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 11. Find the third derivative of -j**2 - 2*j**2 + j**6 - 4*j**g wrt j.\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.44 in 2.1, 5\/14, -4\/7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 38*c**2. Let r(b) = b**2 - 7*b + 5. Let l be r(6). Is 17 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 54*z**2 - 111*z + 9315. Give m(55).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and -171672742854.\nAnswer: -171672742881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {s: 4, h: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003381879142 to 6 decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2132232 (base 4) to base 15\nAnswer: -3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-59)\/59*4\/((-4)\/65). Calculate the greatest common factor of f and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 22 = 5. Let j = -6 - p. Suppose j*d + 11 = 38. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 45*s + 2. Let g be n(9). Suppose -3*p + 13 - 1 = 0. Solve -g*f + p - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116466)\/(-69384) - 10\/(-8)*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 10*a**2 + 9*a + 4. Let c be o(9). Solve -v - 9 = 3*u + 2*u, -2*v - 12 = c*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*n**2 + 2148*n**2 - n**2.\nAnswer: 1854*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(13*i**2 - 11 + 11) to y*i**2 + w + h*i and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 175. Let z = 1 + -0.99. Let l = -5.01 + z. What is the closest to u in -0.5, 3, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*y, 6*y - 5*y + 5*v - 38 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83500 rounded to the nearest 1000?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*a + 1, 0*a - 18 = 2*h - 3*a. Let v = h - -23. What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86.262 - -26984.\nAnswer: 26897.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.69984 - 1.7. Round n to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8175 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 5:54 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8310*q + 4144*q + 3628*q.\nAnswer: -538*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s + 2. Let z be c(2). Let n(v) = 10 - 9 - 6 - 2 - 11*v. Let p(t) = 6*t + 4. Give z*n(i) - 7*p(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/24 + -7 - 44\/48.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -30*p**3 + 211*p**2 + 481*p - 278. Let l(t) = -23*t**3 + 158*t**2 + 361*t - 209. Let c(v) = -10*i(v) + 13*l(v). What is c(58)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -555 - -2135. Let w = -1587.61 + k. Round w to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2228, 2192, 2122, 2018, 1880, 1708?\n\"Answer: -17*n**2 + 15*n + 2230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -36*c + 72. Solve 15 = c*d - 2*d, -15 = -5*k - 2*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506347729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p + 585 + 611 = 0. Let c be (22\/(-1))\/(-2)*-4. Let o = c - p. Calculate the smallest common multiple of o and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**2 + 11*f - 7. Let j(l) = 176 - 34 - 3*l**2 + 5*l - 44 - 55 - 47. What is 9*j(z) - 4*k(z)?\nAnswer: -3*z**2 + z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g. Let f(z) = z**2 + z + 1. Let a(k) = 4*k**2 - k + 1. Let t(p) = a(p) - f(p). Let x(d) = d**2 - d. Let h(b) = 2*t(b) - 4*x(b). What is j(h(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3724 - -6875. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 + 10 - 12)*(-2*u + 3*u - 2*u)*(6 - 1 - 2)*(0*u - u + 0*u)*(4 - 1 - 5) to the form q + g*u**2 + r*u and give g.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**3 + 12*x**3 - 6*x**3)*(-11*x - x + 3*x).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 166, 320, 526, 790, 1118?\n\"Answer: g**3 + 17*g**2 + 50*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4655, 8109, 11563, 15017, 18471?\n\"Answer: 3454*l + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 226*r\/9 - 1876\/3.\nAnswer: 2*(r - 21)*(r + 134)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-9)\/(-30))\/(-3)*15\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17698 divided by 405?\nAnswer: 17698\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583 is divided by 159.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3136*t - 957*t - 1101*t - 1004*t.\nAnswer: 74*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f + 2*b - 8, 0 = -3*f + 4*b - 19. Let k be -1 + -1 - (f - 1). Let l = k - -5. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 11*f - 27. Suppose -5*m - 45 = -5*x, -x + 2*x - f*m - 25 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 2*h**4 - 6*h**4 + (2*h + h - 2*h)*(-3*h**3 + 0*h**3 + 2*h**3) + (15*h**2 - 297*h + 297*h - 21*h**3)*(3*h - 2*h - 2*h).\nAnswer: 18*h**4 - 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m**2 - 5*m - 82. Let o(h) = -24*h**2 - 11*h - 164. Give -6*o(c) + 13*v(c).\nAnswer: c**2 + c - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285539*m**3*o**3 + 11799*m**3*o**2 + 2*m**2*o + 5*m**2 wrt o.\nAnswer: -1713234*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = -34*t - 3*k + 1593, -2*k - 2154 = -4*t. What is the least common multiple of t and 6?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23585 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 + 3. Let y be (i\/9)\/((-2)\/(-18)). Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**2*n - 79*c**2*w - c**2 - 4*c*n - n*w with respect to n.\nAnswer: -3*c**2 - 4*c - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = z + 25, 3*x + 3*z + 20 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 - 81*m**2 + 178*m - 36. Give i(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*1628136\nAnswer: 1628136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) + -2*sqrt(154))\/sqrt(11))\/(-3*sqrt(2)*2 + sqrt(2)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205338 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -6*g. Let j = -5.5 - -0.5. Let d = j - -5. What is the closest to 0 in d, g, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005969882 rounded to seven decimal places?\nAnswer: 0.0000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let o(w) = -2*w - 34. Calculate x(o(g)).\nAnswer: -4*g - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)*d)**(-1\/21))**46)**(2\/69) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -602, -2421, -5458, -9713, -15186?\nAnswer: -21877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 74 = -46. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 - 884*q**2 + 1179*q - 1492. Determine m(-296).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/2)\/((-1547)\/1768)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4803*y + 10. Let o(f) = 5*f. Let b be o(1). Let r(n) = 3202*n - 7. Let u(h) = b*j(h) + 7*r(h). Let a be u(1). What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48194886.\nAnswer: 2, 3, 8032481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2463*n - 31*n**4 - 59*n**4 - n**2 + 7*n**4 - 3593*n + 2*n**2 wrt n?\nAnswer: -996*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)*l)**(-4\/5)\/(l**4*l**6*l))**(-35) assuming l is positive.\nAnswer: l**413","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 4, 0, -5.\nAnswer: -5, 0, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244297.\nAnswer: 244297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13727 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r + 1122. Let t be g(-73). Calculate the highest common factor of t and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4086049 and -27\/4086049?\nAnswer: 4086049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-342)\/(-36))\/(1539\/1782)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6814 is divided by 567.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 227385911 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1157, 1285, 1425, 1583, 1765, 1977?\nAnswer: 2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 22*t + 12. Let z be 3\/t + 1 + -3. Which is smaller: z or -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -3*s + 63. Suppose 4*t - 713 = v, -4*t - 2*v + s*v + 733 = 0. Does 35 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1067, -2117, -3167, -4217, -5267, -6317?\n\"Answer: -1050*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32154561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 8)*7886\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 21. Let v be (-6)\/m + (-9)\/(-4). Suppose v*a + 11 = -n + 300, -a = 5*n - 87. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + 2)*(-12)\/(-30). Let b(h) = -3*h + 5*h - r*h. Let j(c) = -3*c. What is j(b(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128049280 or 128049287?\nAnswer: 128049280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 50*s**3 - 2*s + 173*s**3.\nAnswer: 123*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 114415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7713696539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:47 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167.4 take away 61592?\nAnswer: -60424.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9030 + 21026 = 34*m. What are the prime factors of m?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*a + 249*a - 128*a + (2*a + 0*a + 0*a)*(-2 + 3 - 2).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2081, -43 in increasing order.\nAnswer: -2081, -43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u**9\/u)\/u)*u)\/u**6*(u\/(u\/(u*u\/u**(-2))*u))**(21\/5) assuming u is positive.\nAnswer: u**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 104\/(-32) + -12. Sort u, -0.1, -2\/9, -4 in increasing order.\nAnswer: u, -4, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1644, 1628, 1596, 1536, 1436, 1284, 1068, 776?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42084, 168368, 378846, 673518?\nAnswer: 1052384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (351\/(-36))\/(1\/(-4))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -215 in -35, 1\/3, 203, -3, 1, -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 30. Let w = -16 - s. Which is greater: -4\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13645*v**2 + 13659*v**2 - 13*v + 3*v + 5*v.\nAnswer: 14*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 106. What is m(-29)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 60*q**4 - 212*q**3 + 84*q**2 + 208*q - 144 = 0. Calculate q.\nAnswer: -18, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8075*b*w + 1385*w - 3 wrt b?\nAnswer: -8075*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36710984477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 2 + 2*f + 3*f)*(-75606*f**2 - 880*f**3 + 75606*f**2).\nAnswer: -4400*f**4 + 3520*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 504 (b) 5 (c) 1 (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:42 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(567) + -1 - sqrt(567))*-5)**2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 6. Suppose -2*w = -h*m - 4, -m - 3 = -5*w + 7. Let k(i) = -i**2 - 2*i**2 + 3*i**2 - 2*i**w. Let a(b) = -3*b**2. Determine a(k(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375997537 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + (-8 + 1 - (-103 + 79 + 11)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - 163*k**3\/3 + 328*k**2 + 8699*k. Find p such that h(p) = 0.\nAnswer: -328, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144.13 - -144. What is the nearest to z in 5, 5\/4, -4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x - 2 = -27*x + l, -12 = -x + 6*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3 = -0*u + 4*u, -4*t - u = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10767801 to the nearest integer?\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*g + 10, -5*a = -2*g + 659 - 641. What is w in 0*w + 0 + 16\/17*w**g + 2\/17*w**2 + 18\/17*w**3 = 0?\nAnswer: -1, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y. Let b(d) = -8*d. Determine b(l(f)).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 * -13769.9\nAnswer: -35801.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15521382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -3. Let d = 11 + -76\/7. Let z be -2*4\/42*-3. What is the closest to x in z, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(24)\/(sqrt(32)\/sqrt(4))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6202*x = -4*m - 6198*x + 116, -4*m = -5*x - 121 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -407 - -402. Let a = 65\/228 + -2\/57. Sort s, 4, a in ascending order.\nAnswer: s, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 8, -2, 3, 11, 15.\nAnswer: -2, 3, 8, 11, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 46*m**2 - 187*m + 51. Give r(-50).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 0*k**3 + k**3)*(2 - 3*k - 2 + (-2 - 2 + 5)*(-k - k + 0*k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 24.9. Which is smaller: 2\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/93 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370704 = -104*s + 380584 for s.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5\/9 + 242*z**4\/9 - 50104*z**3\/9 - 82600*z**2 = 0.\nAnswer: -225, -14, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 20 - 28 = -3*j + 34, -3*j = 13*u + 150 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = 4*f, 0 = 3*f + k + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3925 - 3922. Let p be 10 - 4 - 0\/2. Let w = 8 - p. Is g at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9772 + -5668. Calculate the greatest common factor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1976 and 3.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-15 - (2 + (0 - (2 - -5))))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (111 - 235) + 84.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2823909 by -941303.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:16 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 171*p**2. Let i(t) be the second derivative of -t**3\/2 - 8*t + 11. What is w(i(c))?\nAnswer: 1539*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 4*y + 2\/3*y**2 + 20\/9*y**4 - 1\/9*y**7 + 2\/3*y**6 - 5\/3*y**5 - 5\/3*y**3 + 0. Determine x so that s(x) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/76 and -97\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-15))\/((-4)\/(-610)). Suppose 4*g = 514 + n. What is the highest common factor of 20 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n + 7. Suppose -1 = 2*q - 5. Is o(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 67. Which is the third biggest value? (a) -6\/11 (b) -0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11756\/43431 or 1?\nAnswer: -11756\/43431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -10. Let w = 1.6 - -0.4. Let m = q + w. Sort m, -3\/4, 3.\nAnswer: m, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2903 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:41 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -76712.\nAnswer: 1\/38356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 19. Let q be p(6). Let c(a) = -a**2 + 12*a + 15. Let m be c(q). Let j(g) = 21*g**m + 5 - 2*g - 26*g**2 - g**3 + 4*g. Calculate j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -489 - -499. Let l = -167 - -262. Let y = l + -66. What is the remainder when y is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -35975*x - 3461. Is j(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1618133 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 966\/3 + (-2 - -6). Suppose -d = 3*p + 755, p + j = -d - 439. Let i = d + 140. Round i to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -115, -203, -281, -349, -407?\n\"Answer: 5*o**2 - 103*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42198756 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231\/17 - 3\/34. What is the common denominator of 103\/228 and j?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2*(((-4300)\/375)\/(-43))\/(4\/(-430))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70705 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 703?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3029*m**2 - 18179*m + 2. What is v(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 17126 (b) -1\/248 (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*o**5 - 261*o**4 + 864*o**3 - 324*o**2.\nAnswer: 3*o**2*(o - 6)**2*(7*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 - 7*t**2 - 1. Let r(n) = -5*n**3 + 11*n**2 + 1. Let z be ((-40)\/45)\/(1\/(-9)). What is z*k(o) + 5*r(o)?\nAnswer: -o**3 - o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 1, -2, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 17*w**3 + w**2. Calculate m(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfs when three letters picked without replacement from {p: 3, f: 3, s: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baoababbbbubj. Give prob of sequence uj.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1457 to two dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 2*x + 6*x = -13*t - 36, x - 6 = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 3*c + 321. Give k(-18).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**4\/o)*o)**(-2)*o**(2\/9)\/o**(-1\/7) assuming o is positive.\nAnswer: o**(149\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + g + 0 + (-3 + 2 - 1)*(-3*g - g + 3*g) + 85 - 175 + 1409*g + 90.\nAnswer: 1412*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g - 13. Let s be j(-3). Let p(a) = 6*a**2 - 2*a - 9. Let f(y) = -y**2 - y - 1. Let w(z) = -5*f(z) + p(z). List the prime factors of w(s).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*l - 230269 + 120093 - 329274. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 56 + 8. Solve -28 = 2*u - 3*c - 2*c, c - l = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - 155*s**2 + 49*s**2 + 59*s**2 + 52*s**2 to b + f*s + o*s**2 + h*s**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 - 9*s**2 + 9*s + 7. Let j(m) be the second derivative of -3\/2*m**2 + 1\/10*m**5 + 1\/3*m**4 + 0 - 12*m - 2\/3*m**3. What is -9*j(k) - 4*t(k)?\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/10)\/((-1)\/5). Solve s = -2*g - 3*m, g - 2*g + 4*m = -13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*a - 52, -3*d - 4*a + 191 = -5*a. Suppose 0 = -2*j - 0*v - 2*v + d, -5*v + 121 = 4*j. Let q = j + -23. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/40*30\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 50\/3. Let i = -11.7 - -10.7. Sort i, m, -0.3.\nAnswer: i, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756310 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34384, 34355, 34244, 34009, 33608, 32999, 32140?\n\"Answer: -7*h**3 + h**2 + 17*h + 34373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:56 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(2057) + 0 + sqrt(2057) - sqrt(2057) - sqrt(2057) - sqrt(17)))*-1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(sqrt(42) - sqrt(168) - sqrt(42)) - sqrt(42))\/(sqrt(30)\/(sqrt(15)\/sqrt(3) + sqrt(5))) + (sqrt(42) - 3*sqrt(42)*-6)\/(-2*sqrt(96)).\nAnswer: 5 + 157*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -6. Let d(z) = -z**3 + 2*z**3 - 6*z**2 - 7*z + 0*z. Let o be d(x). Solve o*b + 15 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 2*-6*(-2 + sqrt(2)) + (sqrt(4)\/(sqrt(6)\/sqrt(3)) - (sqrt(320)\/sqrt(10))**2) + 4).\nAnswer: -66*sqrt(2) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(1617)*2 - sqrt(33))\/(sqrt(21)\/(sqrt(7)*3)).\nAnswer: 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20257 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, g: 1, n: 1, m: 2, f: 1, l: 1}. Give prob of picking 2 m and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 69d9c8 (base 14) to base 5\nAnswer: 1411012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 3*v**2)*(2*v**2 - 1 + 1) - 11*v**4 + 395 - 395.\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 + 76033*p**2 + 51240*p - 4.\nAnswer: -6*p + 152066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1625 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -338, -8, 23, 4, 101, 2 in descending order.\nAnswer: 101, 23, 4, 2, -8, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/9 - 2*n**3\/9 - 44*n**2\/9 - 88*n\/9 - 16\/3.\nAnswer: 2*(n - 6)*(n + 1)*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -256 - 14202?\nAnswer: -14460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7751.\nAnswer: 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -384, -785, -1186, -1587, -1988, -2389?\n\"Answer: -401*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2888\/17135 + 4\/745. What is the biggest value in -5, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i**3 + 162*i**2 - 110*i - 171. Give s(-13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + sqrt(204)*-1*5)\/(sqrt(12) + 2*sqrt(12)*-6).\nAnswer: 4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-31)\/((-682)\/132)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13281357*x = 13281347*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634044964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 12*u**2 - 13*u + 8. Let q be n(-13). Let h be ((-6)\/9)\/(q\/12). Let f = 43 + h. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5304\/68*3\/(-66) and 17\/9068.\nAnswer: 99748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = j + 3*v - 196, -845 = -5*j + 5*v. What is the remainder when j is divided by 67?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 21*o**3 + 30*o**2 + 4*o + 21. Let k be h(-3). Which is bigger: k or -305?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3209166 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154*x - 2*x**3 + 2 + 68*x + 98*x + 198*x**2 + 74*x**2 - 270*x wrt x.\nAnswer: -12*x + 544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2234608, 2234604, 2234598, 2234590, 2234580, 2234568, 2234554?\nAnswer: 2234538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) -2\/9 (c) -10 (d) 4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 32, -0.1, -5, 2\/5, -825?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 - 17) - 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1023 + -793. Calculate the smallest common multiple of 414 and k.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141848, 141846, 141844, 141842?\nAnswer: 141840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 45*f**2 + 124*f + 1512. Calculate d(-43).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 988947 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 24404723*m. Let i(j) = 11*j. What is i(f(u))?\nAnswer: -11*u**2 - 268451953*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2 - 3*h + 1 + h. Suppose -i - 4*i = -10. Determine s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 7*i - 16. Let r be g(-2). Let p be ((-12)\/(-12))\/(r\/(-36)). Put 0.1, p, 0.3 in decreasing order.\nAnswer: 0.3, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -495, -993, -1491, -1989, -2487?\n\"Answer: -498*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = f - 4*v - 1065, 3*f = 5*v + 3201. Let o = f + -645. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000426966947 rounded to seven dps?\nAnswer: 0.0000427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) - 2*sqrt(228))*5*2)\/((sqrt(12) + sqrt(972) + sqrt(12))*-2 + sqrt(972)*-6).\nAnswer: 5*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106877.34 months in years?\nAnswer: 8906.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 101 + -32 + 27 + (-5 - 1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + f = 59, -o = f + 2*f - 1. Let w = -5 + o. Let c be 32\/(-1) - (8 - w). Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.664219 and 0.15?\nAnswer: -0.09963285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431509 (base 11) in base 8?\nAnswer: 11307701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213323332 - -10?\nAnswer: -213323322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6101754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3382 or 3378?\nAnswer: 3382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 11558*l\/3 + 1630200.\nAnswer: -2*(l - 6175)*(l + 396)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5*11\/(-220))\/(-1). Let k = 22\/21 + -12\/7. Which is the second smallest value? (a) -8 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.3979 to 1 decimal place.\nAnswer: -63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 - 53 = -10*z. What are the prime factors of (3 - z)*(-2 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213 - -221. Calculate the least common multiple of 59 and m.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) 2 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - ((-14)\/1 + 1). Let p(u) = -5*u**2 + 15*u - 6. Let j(k) = -14*k**2 + 45*k - 17. Calculate n*j(s) - 17*p(s).\nAnswer: s**2 + 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 118?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.400540049 rounded to five dps?\nAnswer: 0.40054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4905176 is divided by 1307.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 78 - 6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:13 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24243525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31232 (base 4) to base 7.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-40))\/((3\/(-24))\/(((-199985)\/(-222))\/(-47))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r**3 + 2*r**2 - r. Let c be l(1). Let w = -10 - c. Differentiate -w*g**4 + 6 - 2*g**4 + 4*g**4 + 5*g**4 wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 80, 125, 164, 191, 200?\n\"Answer: -o**3 + 6*o**2 + 34*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.99, 0.2, 6, 1, -258?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -24 - 19471*y + 9732*y + 9739*y - 2*y**2. Let x(q) = 3 - 2*q - 3 + 4*q. Give x(w(f)).\nAnswer: -4*f**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 8*r + 322 = -8*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 16*i**5 + 3*i**4 = 0.\nAnswer: -3\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (17 - 32)) + -15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8294 + 8301. Solve 0 = 2*h - 56*i + 57*i - a, 5*i - 2 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/9)\/(10\/330*-11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56 - 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:42 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d - 4. Let k be t(1). Let j be 3\/k*4\/7. Let s = 95\/63 + -9\/7. Sort s, j, -2\/3 in increasing order.\nAnswer: -2\/3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 + 3*g + 119. Let o(u) = -2*u**3 - 14*u**2 + 7*u + 238. What is 14*d(v) - 6*o(v)?\nAnswer: -2*v**3 + 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4382943270 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 2*p**5\/15 - p**4\/6 - 2*p**3\/3 + p**2\/3 + 4*p\/3 + 7. Let u(k) = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 499, 4, -25?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, m: 8, k: 2, t: 1, r: 1, u: 2}. What is prob of picking 2 m?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(4\/9)*n)*n**(6\/11))\/(((n\/(n*n\/(n*(n\/(n**(-11)\/n*n)*n)\/n*n)*n)*n)\/n)\/n**(-2\/15)) assuming n is positive.\nAnswer: n**(-5956\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19386949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**5 + 2*a**4 + a**2. Let c(m) = 59*m**5 - 10*m**4 + 151*m**2 - 2*m. Let v(b) = -c(b) - 6*d(b). Find the third derivative of v(t) wrt t.\nAnswer: -3900*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1989\/(-13))\/((-675)\/150)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1467*m**3 - 5 - 14 + 5*m**2 + 18 - 8*m - 7. Let y be a(7). Round y to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 60739e?\nAnswer: 6073a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271259 is divided by 169.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**11\/27720 - j**7\/1260 - j**4\/12 + j. Let t(z) be the third derivative of c(z). Find the third derivative of t(v) wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4770, 9552, 14348, 19158, 23982, 28820, 33672?\nAnswer: 38538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1854*-1.55\nAnswer: 2873.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/72 and -145\/71646.\nAnswer: 859752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 + 22*p - 40. Let z(v) = -2*v**2 + 21*v - 40. Let o(c) = -3*g(c) + 4*z(c). What is y in o(y) = 0?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -30*t - 8. Let b = -205 - -197. Let n(c) = -19*c - 5. Let f(i) = b*n(i) + 5*g(i). Let h(o) = -39*o**2. Give f(h(s)).\nAnswer: -78*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/13 and -12\/73.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 132 = 2*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11014419 rounded to 4 decimal places?\nAnswer: -0.1101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 greater than or equal to 171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 334 and 103373.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-196)\/(-28) - -52?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/2625 and -59\/36?\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.7 and 3.\nAnswer: -20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -103221 (base 5) to base 11\nAnswer: -2748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by -707\nAnswer: -319\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*o + 23, 0 = -4*s + 3*o + 22 - 3. Suppose -259 = -s*q - a + 6*a, -a = 2*q - 133. Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2)*80\/(-60))\/((-26352)\/366)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -1\/67, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 106 = 5*m - 53, -4*j = -2*m + 54. Suppose m = s + 2*s. Calculate the remainder when 32 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13013 and -3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2573 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + u = -16, 0 = o + 3*u - 11 - 4. Let h be (8\/10)\/(o\/45). Solve 0 = 4*b - h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 6*s + 2*s)*(-4*s**2 - 4*s**2 + 4*s**2) - 48*s**2 - 2*s**3 + 48*s**2 as m*s**3 + o*s**2 + f*s + b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 7366?\nAnswer: 7371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212886063*z + 159372285 wrt z.\nAnswer: -212886063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-12)\/3) + -18. Let p be i + 17 - 59399*-1. Round p to the nearest one thousand.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/4))**(-1\/17))**(-2) assuming d is positive.\nAnswer: d**(3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = -198. Let l = -26 - i. Let x = 92\/7 - l. Which is the third biggest value? (a) x (b) -2\/13 (c) -1\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 54. Determine w(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -30\/109, 3\/2, -4 in ascending order.\nAnswer: -4, -3, -30\/109, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 237240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*k - 1423, 0*y - k - 577 = -2*y. What is the greatest common divisor of y and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 687 and 30.\nAnswer: 6870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111110110011101010110 (base 2) to base 3\nAnswer: -10212120010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3835 and 572?\nAnswer: 168740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 7*v - 24. Let r(h) = 2*h**3 - 6*h**2 - 17. Let n be r(v). Solve 5*k + 4*t = 25, -3*k = 4*t - 3*t - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1044969 (b) 66\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-2 + sqrt(3) + sqrt(6)\/sqrt(2))**2) + sqrt(3) - sqrt(3))*1.\nAnswer: -16 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23496*s**4 + 773925*s wrt s.\nAnswer: -281952*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34912 is divided by 1454.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*q + 33, -4*k - 1 = 2*q + 5. Let z = q - 5. Let t be (0 + 0)\/((-13)\/(52\/8)). Solve -l + z*l + 5 = t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3448221 and 17\/1477809.\nAnswer: 10344663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7416 - 1735. What are the prime factors of y?\nAnswer: 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891758 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 15 = 22*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/14 + (22\/(16 - 214) - 45456\/3267).\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 + 163 + 19 + -9 + -12 + 3 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 3*a + 7. Suppose -2*h + 3*h + b - 5 = 0, -2*b = -2*h + 30. Suppose -31*u = -33*u - h. Give c(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 3*b - 16, 4 = -3*q - b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5) + -1) + sqrt(45)\/sqrt(36))**2 + -1.\nAnswer: -10*sqrt(5) + 137\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -34 - -3 - (-2 - 0). Let a = s - -29. Solve -r + 1 = -2*n - 4, 5*n + 5*r - 10 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -168.\nAnswer: -168, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 1.27 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/(-5))\/(42\/(-315)). What is the greatest common divisor of a and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 1. Let x(g) = -10*g - 3. Let j(z) = -3*b(z) + x(z). Let o(p) = 2*p. Give o(j(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427131918.\nAnswer: 2, 3, 701, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 89600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 247 + 58. Let l = 305.0001168 - b. Round l to six decimal places.\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 23. Let k be 76\/y + (-3)\/5. What is the remainder when ((-124)\/10)\/(k\/(-35)) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-1\/4))**(-5))**16)**(1\/35))**(-4\/15) assuming j is positive.\nAnswer: j**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:56 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 222*z + 48*z - 106380. What is the lowest common multiple of z and 985?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 5*w - 0 + 15, 0 = 3*z + w + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170428230 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 17*s + 21*s - 267. Solve 3*z = r + s, 0 = 5*r + 33*z - 28*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, c: 1, k: 2}. Give prob of sequence pcp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/11 - 600*n\/11 - 606\/11.\nAnswer: 6*(n - 101)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m + m - 4*m. Let o(q) = -q**2 + 7*q + 23. Let f be o(7). Let j(s) = 46*s - 21*s - f*s. Determine b(j(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0114 - -0.0114. Let h(p) = p - 4. Let v be h(8). What is the nearest to 2\/9 in v, k, 5\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6467455 divided by -5.\nAnswer: 1293491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 + s + 4. What is z(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 + -870 + 407 - (0 - (6 + 1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -825 - 20. Solve -163 = 6*r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 1\/10*h**5 + 1\/63*h**7 + 0*h**2 + 0 + 4\/45*h**6 - 2\/9*h**4 - 4\/9*h**3 + 7*h. Determine v so that o(v) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269 - -258. Let d = z + 27. Which is the closest to -4? (a) -4 (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 85. Suppose -2*k - 22 = -r. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/5 greater than or equal to 0.896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -53400, -106865, -160330, -213795, -267260?\n\"Answer: -53465*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -1117*n**4\/6 + 641*n**2\/2 + 34*n + 3. What is the first derivative of j(i) wrt i?\nAnswer: -4468*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328\/(-205) + (12\/10)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5358\/7 and -766 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*d*q*u + 3*b*d*u - b*q*u - 18*d*q*u + 156*u wrt d?\nAnswer: -2*b*q*u + 3*b*u - 18*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*u + 8425 = 0, -666*c + 665*c = 3*u - 2136. Calculate the greatest common factor of 135 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7603 in -11, -0.1, -3, 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**5)\/t*t*t**0*t*t*t\/((t**(-4\/9)\/t)\/t)*t**(-7)*t*t*t*t*(t**(-3)*t*t\/(t\/t**(1\/3))*t)\/(t*t*(t\/t**(1\/3)*t)\/t)**44 assuming t is positive.\nAnswer: t**(-986\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4818341 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 5*i**2\/2 + 51*i - 61. Let r be l(-7). What is the greatest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -435377, -435378, -435379, -435380?\n\"Answer: -p - 435376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 + 11*b**2 + b - 9. Let f(z) = 2*z**3 - 6*z**2 - z + 5. Calculate 5*f(v) + 3*p(v).\nAnswer: v**3 + 3*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.135 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 25?\nAnswer: -27\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7156*a + 7190*a - 14322*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d + 10. Let p = 6228 + -6235. Determine m(p).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 9:29 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 94.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1550 + -2?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**4\/24 - 4*v**3\/3 - 34*v**2. Let x be k(-6). Is (-3263)\/(-4) - (x + 11\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018675 rounded to 4 dps?\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4, 35, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 6, b: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (2*(sqrt(432) - (sqrt(432) + -1)) - sqrt(432)) - -1*sqrt(432)*-2)**2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119 + t**2 + t**3 - 40 - 32*t + 32*t to the form q + b*t**3 + u*t**2 + w*t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 160*h**2 + 54*h + 114. Calculate r(-2).\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t**5 + 100*t**4 - 72*t**3 = 0. Calculate t.\nAnswer: -9, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4469\/392930?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3) + 13 + -4. Let i be (-9)\/y + 18\/4. Solve 2*o - 7 = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/(-1900) + 169\/10\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-8))\/(1\/3). Suppose l + 8 = 3*z + 24, 5*l + 10 = -3*z. Let s = 0.3 + -0.1. Which is the closest to s? (a) l (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 0*l + 3*l)*(4*l**2 + 4*l**2 - 2*l**2 + (4*l**2 - l**2 + 6*l**2)*(0 - 3 - 8)) as u + d*l**2 + o*l + r*l**3 and give r.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 14*n**2 + 16*n - 1. Give c(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21840 by -780.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 + (-52)\/9. Let d = s + 5. Is 8 - d\/3*0 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from pwmwwwmmwwwmmwm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01077 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 11*o - 4. Determine g(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 165*a**2 + 632*a - 974. What is o(-161)?\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 576 in decreasing order.\nAnswer: 576, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(64))\/sqrt(8))\/(sqrt(20)\/(sqrt(5)*-2) + sqrt(4)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72 + 1999?\nAnswer: 1a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*l**5 + l**4 - 19*l**2 - 3 wrt l?\nAnswer: 7800*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 69, 54, 21, -36, -123?\n\"Answer: -f**3 + 4*f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 75*w - 237*w. Let y(a) = a - 2. Let z(c) = 3*c**2 + 1. Let x be z(1). Let q(r) = 1 + x - 6. Determine w*y(k) - 2*q(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19833754.5 rounded to the nearest 100000?\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 5.08\nAnswer: 96.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.16 times 97\nAnswer: -209.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 81*m + 276 = 0. Solve p + m = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 2153, 5224, 9625, 15356?\nAnswer: 22417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and (4 + 303\/(-6))*4\/(-180).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.018 + -0.062. Let m = -2.24 + 0.23. Let j = -0.01 - m. Which is the closest to -0.1? (a) -2 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008000 and 28800?\nAnswer: 1008000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (1 - 11 - -2) + -161 + 169?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2 - c + 5. Let i(r) = -5*r**2 - r + 4. Let o(a) = 3*g(a) - 4*i(a). What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 3:12 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2607*r**2 + 2610*r**2 - 3*r + 4 - 2. Let l(j) = -j**2 + j - 1. Let v = 2 + -2. Let u be (-12)\/(-15)*(v + -5). Calculate u*l(m) - i(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 + 8*y + 5. Calculate the remainder when 15 is divided by w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783024823 and 1498.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 581.86 * -0.4.\nAnswer: -232.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 27*r**2 - 10*r - 10. Let b be z(13). Let n be 58\/(18\/8 - 2). Calculate the highest common factor of b and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/(j*j*j*j**(6\/5)))\/(j*j\/j**(2\/3))**40)\/((j**9*j*j\/(j**(2\/5)*j)*j)\/(j**(1\/6)*(j*j*j**(-1\/9)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-6127\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46890 and 9378.\nAnswer: 46890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, -33, -50?\n\"Answer: -17*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (878\/2)\/((-7)\/98*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 14*v**2 + 15*v - 14. Calculate y(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5621 and 31647.\nAnswer: 2310231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -550 + -96?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3 - 3) + (6 - 8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*h + 12008 = -318*h - 8049 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2.2. Let i(v) = -3*v - 21. Let y be i(-8). Let z = -52 - -52.23. Which is the fourth smallest value? (a) -0.5 (b) y (c) z (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(2*h**5 - 7*h**5 + 3*h**5) - 68*h**5 + 28*h**4 - 28*h**4.\nAnswer: -66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237857 (base 10) in base 12?\nAnswer: b5795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13227\/830 + 159\/10. Is 1 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(234)*1 - (2*sqrt(234) - sqrt(234))*-2)\/((sqrt(550)*-1 - sqrt(550))\/sqrt(11)*5))**2.\nAnswer: 7488\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 4 - -4) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -89*q**3 - 17*q**2 + 17*q + 20. Let w(h) = 30*h**3 + 6*h**2 - 6*h - 7. Determine 6*k(c) + 17*w(c).\nAnswer: -24*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246*d**3 + 3760*d**2.\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (-4 - 91 - -17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:36 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -143, -241, -357?\n\"Answer: -9*d**2 - 53*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**2. Let h(p) = -2832728*p**2 - 1. Give h(d(v)).\nAnswer: -342760088*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:06 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -472 divided by 62474?\nAnswer: -236\/31237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -1001101?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 834*w**2 - 145*w - 103 + 103 + 143*w in the form c*w + v*w**2 + d and give v.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -374124*n - 3741237. Give j(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 7) to base 8.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*v - 6 - 35, -26 = 10*q + 2*v. Suppose g + 20 = 5*g. Put 15, g, q in descending order.\nAnswer: 15, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 1 - 4*f + 0)*(-3 - 2 + 7)*(1 + 5 + 1).\nAnswer: 14*f - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54 + (4 - 3) - 6\/3. Find the third derivative of i - 29*n**2 + 70*n**3 + 27*n**2 + 4*n**2 wrt n.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3 = -22, -25*i - 3*z = 585 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.3424 + 1.7591. Let b = d - -15.6. What is b rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 24*z - 92. Determine h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 + 165. Let r = -10 + 17. Let a = r - 11. What is the nearest to 1 in -1\/3, a, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92950.7 minutes to seconds.\nAnswer: 5577042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 - 6 = 3*m, -5*h - 15 = 0. Let q = 0.1 - 0.9. Let j = q - -1. Which is the nearest to -2? (a) -0.3 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29662 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 76 = 3*m. Suppose 0 = 5*f - 94 + m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 111 = u, 520*t - 524*t - 159 = -5*u for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80300 rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -990, -874, -758, -642, -526?\n\"Answer: 116*f - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 8. Let b be g(10). Let v be (-4)\/(-6) - b\/(-6). Put v, -3, 2 in descending order.\nAnswer: 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000857641466 to 5 dps.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + 0)*(-1 - -2). Let j be (-1 + 51\/33)*(-352)\/(-32). Solve -3*l + a = -j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 23, 3\/2, 0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 6 - 10) + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-10))\/((-6)\/(-20)). Suppose 3*m + 198 = 36*m. What is the third derivative of 275*s**v + 5*s**2 - 25*s**2 - 273*s**m wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*(6 + (-85)\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -16, -6, 22, 74, 156, 274?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/3*24\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/12)\/(59\/(25488\/594)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 + 2*b - 2*b + (-b + 0*b - b)*(b**2 - 2*b**2 + 3*b**2) - 2*b**3 + b**3 + 2*b**3 + 40*b**3 + 100*b**3 - 5*b**3 + b**3 + 2*b**3 - 7*b**3.\nAnswer: 126*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-83)\/249)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003323573 rounded to 7 dps?\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59969419*q**6 + 28683562*q**2 wrt q?\nAnswer: -7196330280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 9) to base 8.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 2*j. Let b(w) = -2*w**3 + w. Determine -5*b(z) - 3*k(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.928469 millennia?\nAnswer: 107141.628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-4) - (-3)\/2. Let n(q) = -q - 1. Let g be n(l). Let o(f) = -8*f - 1. Calculate o(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -29. Suppose -5*m = -10, -p - v*m + 108 + 29 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-24))\/((-210)\/(-20)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -129*c**2 - 3*c - 16. Let n(i) = -86*i**2 - 2*i - 11. Let h(v) = 7*n(v) - 5*o(v). What are the prime factors of h(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20368857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tftflfttt. Give prob of picking 1 l and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 22\/443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a + 40. Suppose -3*q + 4*t + 8 = 0, 0 = 3*q - 0*t + 5*t + 10. What is the least common multiple of v(q) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 17*i = 4869. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -w + 11 + 1, -3*w - 3*x + 12 = 0. Solve -8*t = -w*t + 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 8*t**5\/5 + 9*t**4\/2 + 4*t**3 + t**2 + 5. Factor i(q).\nAnswer: 2*q*(q + 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*j + 16. Suppose -t - 5*a + 2352 = -2832, -2*a = -j*t + 26001. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*i = 0, 2*b + i = -3*b + 19. Suppose 5*c - 55 = -m, -m - 18 = -2*c - b. Suppose -u = -c + 8. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((6\/4)\/(2\/4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 88*g**2 - 9*g - 3. Let p be j(9). Suppose -p = 5*z - 11*z. Let f = -633 + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 24 = 106*t + 1981 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12))\/((-1)\/(-24) + (-141)\/188)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377*d**3 + 65*d**2 - 249728*d.\nAnswer: -2262*d + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 179, 186, 195?\n\"Answer: b**2 + 2*b + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*x**4\/5 - 44912*x**3\/5 + 5875764*x**2\/5 + 31095792*x\/5 + 40353552\/5 = 0. Calculate x.\nAnswer: -321, -18\/7, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/4 + (-1)\/4. Suppose 0*j - 132 = -y*j. List the prime factors of (0 + j\/3)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16251 (base 15) in base 2?\nAnswer: -10001011011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000454125 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - g**3 + 691*g**2 - 50.\nAnswer: -g**3 + 691*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19717 - 19719. Sort 7, -94, o.\nAnswer: -94, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, g: 3, n: 12}. What is prob of picking 1 n and 1 g?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b - 10. Suppose 24 = b*v + v. What is the smallest common multiple of v and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/5)\/((-3)\/(-2)). Suppose 2*n + b*n = 20. What is the tens digit of 86\/3 + n\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 + -839\/7. Let l = d + -936\/133. Is l less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*b - 261*b + 336*b.\nAnswer: 601*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1451\/40 + -182\/5. Which is the nearest to 0.1? (a) f (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*c**5 + 101632*c**4 + 4878587*c**2 - c + 7.\nAnswer: 13860*c**2 + 2439168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 37 - 507 - 367.\nAnswer: -v - 837","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670249040 by -4.\nAnswer: -167562260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2 + 3598*h - 10776 = 0.\nAnswer: 3, 1796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 25*x + 38. Let r be o(-26). Suppose -c - 11 = 3*n, -16*n + 14*n = -4*c + r. What is the third smallest value in c, 7, -4\/7, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4238 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 8946*r - 2716560.\nAnswer: (r - 294)*(r + 9240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 7\/5, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73512 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d - 1. Let c(y) = 63*y - 5. Let j(a) = c(a) - 5*z(a). Let u(i) be the third derivative of -i**4\/6 + i**3\/6 + i**2. Calculate 3*j(w) + 2*u(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-13 + -3 + 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*z - 3*t = 144*z + 539188, 5*t = -5. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7614.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -43\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 1. Let v(s) = -21*s**2 - 4*s. Let x(b) = 22*b**2 + 2*b. Let l(r) = -2*v(r) - 3*x(r). What is u(l(k))?\nAnswer: 96*k**2 - 8*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1539))*-3)**2.\nAnswer: 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252))**2*-4 - -5*1*sqrt(252)) + 5.\nAnswer: -1007 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*d + 5*u, 0 = u - 2*u - 5. Suppose 5*t = j - 397 - 546, -d*t = 3*j + 384. Let b = -74 - t. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -19*d**2 - 31*d. Let n(a) = a**2 - 6*a**2 + 15*a**2 + 15*a. Let c(s) = -14*n(s) - 6*p(s). What is the second derivative of c(k) wrt k?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3 - 430923*f**2 - 3837917*f.\nAnswer: -24*f - 861846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20201012110010 (base 3) to base 9.\nAnswer: -6635403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783130168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytyyygtggzyyz. What is prob of sequence tzt?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((2 + ((sqrt(2299) + 0 - sqrt(2299)) + -3 - (3*sqrt(2299) + -2 + sqrt(2299))))*2)**2.\nAnswer: -2648520 + 6336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54.67 or -49?\nAnswer: 54.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2055 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2167*h**5 - 2140*h**5 + 4432*h**5)*(0 - 3 + 5).\nAnswer: 250*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 1161?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0*p - p + (-1 + 1 - p)*(6 - 1 - 4) + 107*p - 301*p - 236*p.\nAnswer: -430*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 10*w - 11*w + 42*w - 13*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 + -0.03. Let z(l) = -6*l**2 - 4*l - 4. Let m be z(-1). Let j be (17\/(-3) - m)*11. Which is bigger: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 2*p + 0*p + 4*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 247 = -l - 258, 7 = l + 3*f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (-41)\/(738\/(-112266)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/9 - 4\/9. Let l = -6\/59 + 148\/295. What is the nearest to -1 in h, l, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, 4, -1, -3, -2, -870 in descending order.\nAnswer: 4, 3, -1, -2, -3, -21, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3 - 3*8\/(-36). Suppose -z - 2*t - 8 = 0, -3*t = 4*z + 9 - l. What is the second derivative of 8*j**z - 4*j + 5*j**2 + 3*j wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1.28, 1\/4, -434, 5, -1, -2\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.9 - 0.9. Let c = 47.1 + -51.1. Let n = c + r. Which is smaller: n or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -51, -4, 74, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from hhlppphlphhplhhl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -620 divided by 4\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-2)\/6). Suppose 4*v - 8 = -2*y + 14, -k = -4*v + 2*y. Solve b + v*d - 1 = d, 0 = 5*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y. Let h be c(-4). Let f = 3 + 5. Suppose 3*z - h*z = -f. What is the remainder when 22 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/16 + w**3\/4 - w + 60. Factor q(g).\nAnswer: (g - 1)*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 587735329 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {e: 1, p: 1, f: 1, a: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -321, -6, 0 in decreasing order.\nAnswer: 5, 0, -6, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -122, -253, -384?\n\"Answer: -131*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 489 + -487. Let l(w) = -2 + 4*w + 2*w**2 - w + 5*w. Let b be l(-6). Solve 3*d = x*g - 3 + b, 3*d + 4*g + 11 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 479*d + 42*d + 53*d - 1102. Suppose 3*a - z - 45 = 0, 49 = 3*a - 3*z + 4. Let w be ((-12)\/a)\/(4\/(-10)). Solve 0 = -d*k + 2 + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/43)\/(((s**(2\/9)\/s*s)\/s)\/s)*s\/s**(-18)*s**18 assuming s is positive.\nAnswer: s**(15025\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86662483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3242567679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35563 + 60276. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f - 18. Suppose 2*l = -30 + 12. What is the remainder when d(l) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1 - sqrt(66))*-3)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010097049 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: Let t(o) = 406667*o**2 + 9*o - 30. Let b be t(3). Round b to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 4*z + 0*z)*(z**3 - 8*z**3 - z**3) + (-24 - 10*z**3 + 24)*(1 - 2*z - 1) to the form u*z**3 + k + r*z + l*z**2 + c*z**4 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 10. Let p(z) = 27*z - 50. Give 11*f(v) - 2*p(v).\nAnswer: v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = 0, 4*k - 3*t + 8 = -3. Suppose -269 = -2*w - 5*y, 0 = y - k. Suppose -5*p + w - 24 = 4*z, 4*z - p = 84. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 1 j when three letters picked without replacement from ujeeii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 98536 divided by -4\nAnswer: -24634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/24 - x**3\/12 + 6*x. Factor m(h).\nAnswer: h*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -676\/9 - -75. Let b = 713.97 - 717. Let m = 0.03 + b. Sort i, m, -4 in descending order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1064 + 7449\/7. Let l(y) = y - 2. Let k be l(3). Suppose -k = 5*x - 6. Is j bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*l + 166, -91*c + 94*c - l - 130 = 0. What is the greatest common divisor of 902 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55435430 is divided by 5543543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2338 and 332639284.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glggllllwglglllllglg. Give prob of sequence wlgg.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c*c*c*(c\/c**(-25))\/c))*c)**(-27) assuming c is positive.\nAnswer: c**(-783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.919 and 0.1.\nAnswer: -0.1919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g. Let m(q) = 1. Determine -i(o) - 2*m(o).\nAnswer: -9*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7566, 30322, 68248, 121344?\nAnswer: 189610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -983765, 1?\nAnswer: -983765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 + 76*q - 1 to w*q + b and give w.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10175, -40792, -91823, -163268, -255127, -367400?\nAnswer: -500087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5996.88571 to the nearest ten.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 22042288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 21 + 4 = 0. What is the common denominator of 1 - (1 + b\/(-4)) and -2 - 8 - (-14 + 650\/(-52))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*o = 942. Let 42*x + 280*x**3 - 72*x**3 + 96*x**4 - 7*x**2 + 4 + o*x**2 = 0. Calculate x.\nAnswer: -1, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x + 6 - 66 = 0. Solve j - 4 = 4*g + 13, 5*j + x*g + 25 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 4*d - d)*(3*d + 0*d - d) - 2*d**2 - 10 - 5 + 0*d**2.\nAnswer: 2*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 31. Let n be 3\/2*3\/f. Factor 0*w + 1\/4*w**4 + 1\/4*w**5 - n*w**3 - 1\/4*w**2 + 0.\nAnswer: w**2*(w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4512 + 26143. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 163 + 77. Let f = 35 + d. Solve -5 = -2*c + f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 486*g + 82. Let x be q(0). Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 622 + -572. Let l = 49.9 - y. What is the closest to -1\/3 in 0, 1.9, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 555 and 311274.\nAnswer: 57585690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113567086.\nAnswer: 2, 1103, 51481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 26 = 3*r + r, 5*r = -2*t + 26. Suppose 4*w + r = -2*k, -k + 15 = -6*k - 4*w. What is the closest to -1 in -2, k, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 34*j = 217 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/1847 and 11\/6.\nAnswer: 11082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*n - 116 = 4*n, 0 = -4*n. Let q = -31 + t. Calculate the lowest common multiple of 16 and -3 + (-8)\/q + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1 + -2 - 2. Solve -3*a + 5*i - 3 = q, 0 = -3*a - 4*i + 6 + 18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -v + 6, -v + 4 = v - 2*y. Suppose 0 = -3*a - 2*c + 1, -4*c + 1 = -3*a - 8*c. Suppose h = 3 + a. Calculate the remainder when h is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 15. Let q be t(9). Suppose q = 2*o + 8. Let h(l) = -l. Let w(d) = -5*d + 2. Determine o*w(g) + 4*h(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/126 and -115\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 8*g - 33, -1174*d + g + 9 = -1178*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.0623 rounded to 0 dps?\nAnswer: -427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*o**4 + o**2*q**2 + 20*o*q + 2*q**2 + q wrt o?\nAnswer: 156*o**2 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 24*n - 223 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 312 + 10?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 29. Let u(h) = h**2 + 9*h + 4. Give u(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from biiibi.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 8*b = -4108. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1153596 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.24 or 5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -78.859. Let o = l - 0.1409921. Round o to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 567790 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, p: 9}. Give prob of picking 2 p.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/((-18)\/386)*42\/(-14) is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from hqllhhqhlql.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 5*t**6 + 19*t**5 + 105*t**4\/4 + 15*t**3 + 5*t**2\/2 - 51. Suppose i(j) = 0. What is j?\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23633.8 - -23634. What is the biggest value in -4, 3, c, -1449?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = k, -x + k - 21 = -3*k. Let l = 16 + x. Suppose 3*b - 57 = -5*h, -2*h + 17*b = 20*b - 30. What is the remainder when l is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2))**8\/(m**(-1\/3))**45)**4 assuming m is positive.\nAnswer: m**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*v + 11 - 1 = 0, -2*h - 5*v + 22 = 0. Find the common denominator of (2 - (-475)\/(-30))\/(h + 0) and (-21)\/2*32\/(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2992 and 8.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543492 at least as big as 1543488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -10.\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4174 = -u + 869, -5*t = 3*u + 5507. Is -1101 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 4181.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.1, -1, 0.2 in increasing order.\nAnswer: -1, 0.1, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 13*d + 53. Let a be u(-16). Let n(f) = 4*f - f - 3 - 2*f. What is the units digit of n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -15. Let l(c) = 2*c**3 - 6*c**2 + 3*c - 3. Let s be l(h). Calculate the greatest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -7, -4, -18, -2 in decreasing order.\nAnswer: 12, 1, -2, -4, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 4 + 2*l**2 - 2*l - 1\/3*l**3. Give i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.04, 1, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.062, -1\/11, -6\/31, -3, 3.52?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2457 (b) 12 (c) 1 (d) 396\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/888016 and -113\/1554028?\nAnswer: 6216112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44569531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by 5\nAnswer: 226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-13 + 22 - 29).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:45 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 32*q - 254. Determine w(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 564773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202110 - 12?\nAnswer: 202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(507\/(-65))*3\/(-35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) + sqrt(99) + 1*sqrt(99) + sqrt(99))*6)\/((-2*sqrt(1008))\/sqrt(7))*6.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 8:06 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 8*v - 15. Let h be i(-6). Let x be (-16)\/(-28)*h\/(-24). Are -1 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 9*r**2 - 12*r - 89. Determine s(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.5 times -0.5?\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -8*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/43)\/(w\/w**22) assuming w is positive.\nAnswer: w**(901\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20072, -40147, -60234, -80339, -100468, -120627?\nAnswer: -140822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5429 = n, 5*n = 19*q - 23*q + 5399. List the prime factors of q.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21386.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26463 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.229104 + -0.233. Round c to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u - 3*y = 78*u - 27, -u + 4*y = 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 222480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4593662*h**5*x**3 - h**3*x**3 - 24*h**2 + 12*h*x**3 + 2531*x wrt h.\nAnswer: 275619720*h**2*x**3 - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**4\/2 + 7*j**3\/3 - 7*j**2\/2 - 7*j + 23. Let z(q) = -4*q**3 + 5*q**2 - 5*q - 5. What is -5*n(l) + 7*z(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z + 3. Let b be o(5). Suppose v - 4*v + b = 0. Suppose -9 = -3*h - 5*m, 6 = -4*m - 6. Calculate the greatest common divisor of v and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 35*r**2 - 20*r + 19. Let m be b(16). Round m to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 1. Suppose 135 = -3*m + q. Let h be 1 + (-3)\/(12\/m). Solve 5*n = o + 4 - 0, 5*n = -3*o - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*s**3*u**3 - 42*s**3*u**2 - 429*u**3 wrt s?\nAnswer: 12*s**2*u**3 - 126*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - w)*(2*w - 5 + 5) + (0 + 0 - 2*w)*(3*w - 3*w + 2*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 1604178.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 236570.\nAnswer: 236570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.85 + -1.08. Let m = 3 + j. Let i = m - -4.93. Which is the second biggest value? (a) 1\/3 (b) -4\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16842, -33717, -50650, -67671, -84810, -102097?\n\"Answer: -5*x**3 + x**2 - 16843*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 4, -15, 2, 323.\nAnswer: -15, 1, 2, 3, 4, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/630)\/((-241167)\/444255).\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*z + 8*y, 5*z + 2*y = 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4 and -83\/2050.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2308, 4557, 6700, 8683, 10452, 11953, 13132?\nAnswer: 13935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -4*(-75)\/(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7*3)\/3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 - 76*q + 76*q.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 11*q**2 + 8*q - 55. Let x be o(11). What is the highest common divisor of 99 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146005 is divided by 452?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 1\/6 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:26 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13597? (a) 3\/7 (b) 1 (c) -5 (d) -0.1 (e) 0.4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -113?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 2*b - 10. Let x be v(-2). Suppose -2*u = -4*n - 0*n + 26, -x*u = -5*n + 30. Solve n*h - 5 = 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1549559.17*-4\nAnswer: -6198236.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -73323, -146607, -219891, -293175?\n\"Answer: -73284*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + -4*sqrt(2448) + -6*(sqrt(2448) + 0))**2.\nAnswer: -979236 + 2880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**2*p + 1564728*g**2 - 75520*g*p + 2*g wrt p.\nAnswer: 4*g**2 - 75520*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2590336484 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*w - 6*s + 29, -5*s = w - 23. Suppose -5*c - 1 - 9 = -r, 12 = w*r + 3*c. Solve 5*f - 3*n + r = 0, f + 0*n - 27 = -5*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/26 (b) 22 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*a - 157*a + 960 = -308*a. Calculate the least common multiple of 5120 and a.\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-5)\/5) - -17. Solve d = -4*x - m, 5*x - 3*m + 17 = -4*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/2)\/((-1)\/5). Suppose 4*r - 9 = d*x, 2*x + 27 = -3*r - x. Let k(m) = -m**3 - 4*m**2 + m + 4. Let w be k(r). Which is greater: 2\/5 or w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*a - 22. Suppose 0 = 2*l - a*l + 815. Let n = l + -68. Calculate the highest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324)\/sqrt(2))\/(sqrt(8)\/(sqrt(144) + sqrt(4))).\nAnswer: 77*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 2393 = 13953. Let k = m + 609. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 12 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/4 (b) -288 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*q**4*y - q**3 - 7*q*y + y + 386 wrt q?\nAnswer: -440*q**3*y - 3*q**2 - 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 2*n**3 + 5*n**3 + (-12*n**2 + 11*n**2 + 37*n**2)*(4*n - 5*n - n) + 101*n**2 + 3*n**3 - 101*n**2 + (n + 3 - 3)*(-4*n**2 + 4*n**2 + 2*n**2).\nAnswer: -65*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 2\/71, -1, 0.2, -2\/9, -5 in decreasing order.\nAnswer: 219, 0.2, 2\/71, -2\/9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h + 61. Suppose 3*l = 6*f - 11*f - 4, -l - 8 = -5*f. Let m be v(l). Let p(c) be the second derivative of -3*c**4\/4 + c. Determine p(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 54*b - 2386. Let j be f(47). Solve -44*c - j = -416 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 40 = 8. Let p = -11 - -10. Put 2\/7, m, p in decreasing order.\nAnswer: 2\/7, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/33)*s*s**(-2\/3))\/(s**(2\/15)*s*s**1\/s*s) assuming s is positive.\nAnswer: s**(-307\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h + 17. Determine j(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a factor of 32263525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 8*k - 49. Determine h(13).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(-1\/10)*(q**(-12))**(-49) assuming q is positive.\nAnswer: q**(5877\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**2*y**4 + 87*t**2*y + 5*t**2 + 271*t*y**4 - 2*y wrt y.\nAnswer: -60*t**2*y**2 + 3252*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8)*388\/6. Let i = 33 - p. Suppose 2*k = n + 3*n + 16, 0 = 4*k - 8. What is the second smallest value in -0.7, i, n?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 70 = -3*k, -4*x = -5*k + x + 130. Let r be 6\/5*(2 - -28). What is the highest common divisor of k and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 0*u**4 + 6 + 0*u**5 + 13\/6*u**6 + 0*u + 13\/3*u**3 + 0*u**2. Find the third derivative of j(s) wrt s.\nAnswer: 780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/6*(-3)\/2. Let u(f) = -f**2 + 2*f. Let x(s) = -s**2 - 2*s + 5. Let p(i) = 3*u(i) - x(i). What is p(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 - r**2 - r. Let b be c(-1). Let t = b - -11. Let a = -8 + t. Put 1, 3, a in descending order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*d - 141, d - 22 = 4*k + 163. Calculate the lowest common multiple of k\/(-4) - 1\/(-2) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 18, u: 1}. What is prob of sequence pp?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3\/2 + 123*n**2\/2 + 3*n\/2 - 123\/2 = 0. Calculate n.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9*(-9)\/3. Let c be (-17)\/4 - l\/8. Let w be 1*2\/c*0. Solve 2*b + 3*b - 5 = w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011 minus 9226340763?\nAnswer: -9226340763.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = c - 3*c + 52, -3*c = n + 7. Let o = -261059\/8 + 32693. Let f = -61 + o. What is the third smallest value in 1\/4, 0, f, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffjfjffjf?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(352))\/sqrt(2).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 5*r**2 + 4*r**2)*(-3*r + 4*r**2 + r - 2*r**2)*(3 + 4 - 5).\nAnswer: -8*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/56*(-2)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0699 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -64. Let b be 9*(-1 + 5)\/(-12). Let k be 4\/b + (-4 - -6). What is the nearest to -3 in k, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d*p**3 + 62*d + 429*p**3 wrt d.\nAnswer: -5*p**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.2 + -43.2. Put -1\/11, 25, v, 1 in descending order.\nAnswer: 25, v, 1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/118 and -11\/5?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 65037266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, i: 1, h: 2, s: 4, a: 1}. What is prob of sequence sd?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -v - 3*d, 2*v - 345 = -d - 14. Let m = 667 - v. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475475743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3006*l - 9015. Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*k - 156 = 0, -276 = 5*c - 10*c + 3*k. Suppose 136*v + c = 137*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452) - sqrt(1452)*-3)\/(sqrt(4) - sqrt(44)\/(sqrt(176) + sqrt(11))).\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 10:45 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + -4 + 5 - (3411 - 3409)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 + 9*w**2 + 2*w - 3. Let y(d) = -4*d**3 - 10*d**2 - 3*d + 4. Let q(r) = 5*m(r) + 4*y(r). Let s = 8 - 6. Calculate q(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1712, 1716, 1722, 1730, 1740, 1752, 1766?\n\"Answer: b**2 + b + 1710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 39, 5, 0.4, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -a807 (base 12) to base 6\nAnswer: -221211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -44. Calculate the greatest common divisor of 33 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l + 4 - l**2 - 13 + 2*l**2 - 2*l**2. Does 27 divide y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w + 425 = -49*w. Which is the closest to -1? (a) 1\/3 (b) 12 (c) -2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.004, 1\/4, -1\/5.\nAnswer: -1\/5, 0.004, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3 + ((sqrt(304) + -1)*-1 - (sqrt(304) + (sqrt(304) - (sqrt(304) + 0 - sqrt(304))*-1))) + -5 + (sqrt(304)*2 - sqrt(304)) + 4 + 3)**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 17\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 197 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 + 9 + 2*p**3 - 6*p**2 + 6*p + 1 + 0*p**3. Let h be s(-8). What is the highest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210059 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37072 divided by -1?\nAnswer: 37072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-566)\/(-4528)*339\/(-2) + 21?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684 (base 10) in base 15?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-498)\/7)*7 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, -334, 4, 1, 0, 2.\nAnswer: -334, 0, 1, 2, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 1\/3 (c) -7 (d) -0.3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, w: 2, k: 6}. Give prob of sequence xx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2 + 58*j - 38. Give w(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198 + -90. Suppose 18*c - 16*c - 38 = -5*a, -106 = -4*c + 5*a. Suppose o = -c*f + 25*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q\/(q*q*q**4))))**(-30))**(-48) assuming q is positive.\nAnswer: q**(-5760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let j(l) = -6 - l + 7*l + 0*l + 3. What is the units digit of j(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 215\/25907?\nAnswer: 215\/25907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d + 3. Let a = d - -6. Let j = -8 - -13. What is the second smallest value in a, j, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {w: 1, z: 3, u: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -568 - -877750947254.\nAnswer: 877750946686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -1. Let m = u + 4. Let a(f) = f**3 - 20*f**2 + 35*f + 31. What is the remainder when a(18) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 2*f + 43. Let m = -5377 + 5371. Calculate v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 11*o + 12. Calculate w(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 + 78 + -9 + 81.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -1\/2*m**2 - m - 2. Is a(-9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -115. Sort w, -6, 4, 3.\nAnswer: -6, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 17*z**2 + 300*z - 2047. Determine d(7).\nAnswer: -829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 5*w + 8*x, -3*w - 187*x + 47 = 199*x - 385*x for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32055443 (base 6) in base 7?\nAnswer: -10666002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*q + 6, 4*x + 2 = -x - q. Which is the fourth biggest value? (a) 2 (b) -1\/2 (c) x (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-320)\/(-25))*(-2)\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5436\/(-21) + 35\/(-245). Do v and -1298\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*w + 2560, -7*w - 6 = -4*w. What is the remainder when i is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -82*v**2 + 3*v - 5. Let n(q) = -q**2 - 12*q - 16. Let k be n(-11). Let s be z(k). What is s rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -90, -180, -312, -492, -726, -1020, -1380?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - u + 448 = -2285, 0 = 2*j - 4*u - 1080. What are the prime factors of j?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 259*q - 69*q + 8 - 178*q.\nAnswer: 4*q**2 + 12*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 9) + 3 + -2 + -9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648729*t + 4 - 5464040*t - 4.\nAnswer: -6112769*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1565, -1599, -1691, -1871, -2169, -2615?\nAnswer: -3239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -1302?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/(9\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/7 + (1 + (-15)\/21 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 204*v + 7705. What is t(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 4 in descending order.\nAnswer: 4, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75367, 75366, 75365, 75364?\nAnswer: 75363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 798589102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 18*l**2 + 24*l - 56. Determine h(19).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*19.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 - (2 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9057.039 decades to centuries.\nAnswer: 905.7039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 11:27 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -3\/140, -0.03?\nAnswer: -3\/140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*((g**(-3)*g*g)\/g)\/g*g*g**(-8\/3)*(g*g**2)**(1\/2))**(-37) assuming g is positive.\nAnswer: g**(259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2053 = -2*z. Let g = z + -915. What are the prime factors of g?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 312 + -231.5. What is i rounded to zero dps?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -8.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 24, 16*y - 20 = 17*y + 4*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -531 - -584.1. What is y rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -22313*g + 22315*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -309633, -309628, -309623?\n\"Answer: 5*f - 309638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-650)*10\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.41527 and -92342.9.\nAnswer: -92342.48473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 32, 73, 148, 269, 448, 697?\n\"Answer: 2*g**3 - g**2 + 8*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 723 and 9.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 divided by -5.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1366 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12278019.\nAnswer: 3, 13, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.58185 micrometers?\nAnswer: 0.000458185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 3*l + 5. Let r be c(4). Suppose r = -2*z + 13. Let v = -36 - z. Calculate the common denominator of v and -23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428532 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*w - 213 = 2*w, -57 = -v + w. Suppose -34*z + 4864 = -2276. What is the remainder when z is divided by v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23.754, -2, 171?\nAnswer: -23.754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/7 + 276602*b**3\/7 + 2212912*b**2\/7 + 4425888*b\/7 = 0.\nAnswer: -4, 0, 138309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + (0 + sqrt(108))*-5) - 4*(2 + sqrt(108) + 1 + 0 + sqrt(108) + -1))**2.\nAnswer: 9108*sqrt(3) + 118141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -521609*u + 2086438. Calculate a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + l - 49 = -5*t, -4*t + l = -216. Suppose f - 16 = t. Suppose 3*m = f + 21. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 + -0.21. Let z = -2 + 0. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/136, 3\/13, -1\/3.\nAnswer: -1\/3, -5\/136, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/80*-5)\/(32*8\/8192)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/11, 3\/7, 1\/4 in ascending order.\nAnswer: -15\/11, 1\/4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/2 (b) -6 (c) -2\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*v + 309, 3*a = a - 5*v + 136. Let x(o) = -6*o**3 - o**2 - o + 1. Let w be x(-1). Calculate the highest common factor of a and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11\/(f*f**(3\/5)))\/(f**(8\/7)*f*f**(-3\/8)*f) assuming f is positive.\nAnswer: f**(1857\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/36)\/(1\/9). What is the nearest to -0.1 in -4, -3, b, -18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 68. What is the remainder when 59 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*i - 77040 = 449*i - 14*i for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113117908 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7425 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and -77113?\nAnswer: 77084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013428 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 4*i - 2*i + (-3*i - 7*i + 3*i)*(-6 + 12 + 19) + (2 + 2*i - 2)*(-1 - 2 + 1) as l*i + q and give l.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -3, 0.02, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**21\/((v*v**(3\/4)*v)\/v**(-2\/17)) assuming v is positive.\nAnswer: v**(-7335\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x**2 - 9*x + 1. Let k(i) = i**2 - 3. Let m be k(-2). Let r be g(m). Let o(p) = p - 10. What is o(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/4529, 0, -1\/7, -0.24?\nAnswer: 2\/4529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {x: 1, p: 13, i: 3, a: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/4 + 7*m**3\/3 + 6*m**2 - 4*m - 10. Is c(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-11)\/220*12. Suppose 5*w + q + 11 = 4*q, -5*w - 3*q + 1 = 0. Which is the third biggest value? (a) 0.3 (b) -2 (c) w (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 + f - 1. Let x be d(2). Let m(a) = 0*a**3 + 0 - 7*a**3 + 3 - 2. Determine m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12276*q + 12276*q - q**2. Let l(o) = 41*o. Determine l(u(p)).\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 5\/3 (b) 1 (c) -1\/2 (d) -3\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 11. Let w be g(-9). Suppose 3*k - 25 = -l, 4*l - w*k = 3*k + 32. What is the highest common factor of 39 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdszdaau. What is prob of picking 1 z, 1 k, 1 u, and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 2)**2*-2 + sqrt(272)*6 + 2.\nAnswer: -2760 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73207067.\nAnswer: 557, 131431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -71. Put 1, 3, l, 2 in decreasing order.\nAnswer: 3, 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310 and 760.\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmmggmmmmgmmgmm?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + ea1?\nAnswer: ebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -6.23 (c) -0.87 (d) -3\/4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v + 18. Let h(u) = -u**3 - 7*u**2 - 7*u - 4. Let y be h(v). Suppose -y*b = -3*m + 37 - 12, 4*m = 3*b + 32. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -130*x + 66 + x**2 + 120 + 68*x + 28*x. Determine v(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 + 3*m**2 - 5*m**2)*(-4*m**3 + 2*m**3 + 3*m**3) - 7 + 9 - 4*m**5 + 9*m**5.\nAnswer: 7*m**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2, 0.13, -8?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2081688*j**2 + 3*j + 12505995 wrt j.\nAnswer: 4163376*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 3. What is t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86430 - 172854 + 86424 - 2*y + 6*y + 0*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -f - 186. What are the prime factors of -5*(-12)\/f*(-1057 - 0)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2092, 3, -4, 3\/4, -6\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*c + 45*c + 27. Suppose 2*t + 6 = 10, 3*n + 3*t = c. Let z = 24 + -17. What is the highest common divisor of n and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 75 - (-2 - 20)) + -70?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/1050870 and -29\/1190986.\nAnswer: 17864790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 2 + (1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 7*f**2 - 15*f - 30. Give w(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 14*s - 16. Let v(w) = -11*w - 10*w + s - w**2 + 20*w - 3*w. Calculate v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271*q**4*u - 450*q**4 - 2*q**3*u - 47*q**2*u - 2*q**2 + 3*q*u + 6*u - 4 wrt q.\nAnswer: 6504*q*u - 10800*q - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 2*t**2 - 13*t + 1. Determine a(-4).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f*l**4 - 11*f*l**3 - 6*f - 282*l**4 + 4728*l**2 wrt l?\nAnswer: 24*f*l - 66*f - 6768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.145373923 * -4.\nAnswer: -0.581495692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136*q**2 + 114*q**2 - 268*q**2 + 19*q wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100 (base 2) to base 7.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 308*k**2. Let z(y) = 2*y**2. Give u(z(q)).\nAnswer: 1232*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -523191, -1045827, -1568463, -2091099?\n\"Answer: -522636*r - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 21*f**3\/2 - 16*f**2 + 8*f + 79. Let h(p) be the first derivative of a(p). Differentiate h(o) wrt o.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8530 + 1374 = 3189*q + 337 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 247.42 (b) -4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -35. Suppose -s*y = -5*y - u + 4, 5*y = -2*u + 17. Is (-52)\/(y - 2 - 3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33737\/73608*(-234)\/22?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 8644\/641?\nAnswer: 8644\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38922.09g to micrograms.\nAnswer: 38922090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 2. Let j = d - 6. Let r be (-26)\/(-7) - (-2)\/j. What is the third smallest value in r, 0.4, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3126*z**6 + 94 + 51 - 2*z**5 + 218*z**2 - 111*z**2 - 115*z**2 + 25 wrt z.\nAnswer: -375120*z**3 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 2*n. Let x be d(-2). Let m be 12\/14*(49 - x). Let z = 253\/6 - m. Which is the biggest value? (a) -2 (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1233945*y - 15725208?\nAnswer: -1233945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386214, -772441, -1158668, -1544895, -1931122, -2317349?\nAnswer: -2703576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39270658 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1 (b) 1\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 275*w**2 - 2810*w - 4480.\nAnswer: 5*(w - 64)*(w + 2)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 + 168. Let o be 1\/(-4) - (-57)\/4. List the prime factors of o + (8\/g)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2508 + -2507.99998727. Round j to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 667)*1\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t + 27*t - 132. Solve 18 = -v + 5*x + 6, 0 = x - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (638\/(-44) + 14)*-4*1. Let b(y) be the second derivative of -7\/2*y**m + 9*y - 1\/6*y**3 + 0. Determine b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 64. What are the prime factors of 4\/7 + (-144)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4470 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 402*g**3 - 12951*g**2 + 42024*g + 485520 = 0.\nAnswer: -68, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byfl when four letters picked without replacement from {x: 3, l: 2, v: 1, b: 2, y: 2, f: 4}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -19. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.58933307 rounded to 2 dps?\nAnswer: 49.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 5*k = -10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648756 and 89478?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004199656562 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 1\/6*h**3 + 13*h**2 + 1\/30*h**5 + 1\/12*h**4 + 0 + 0*h - 1\/20*h**6. Determine t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:56 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1413 + -985. Suppose 4*q + 2*c = -4 + w, 5*c + 200 = 2*q. Calculate the greatest common divisor of q and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 + 2*f + 2. Let d = -25 + 21. Calculate g(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 + 2*g + 1. Determine s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5479772.\nAnswer: 2, 1369943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 791, 1581, 2373, 3167?\n\"Answer: p**2 + 787*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 6, 4, -138615 in decreasing order.\nAnswer: 93, 6, 4, -138615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-42)*(-483)\/345*2\/31?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 56. Suppose -w - 45 = -6*w. What is the common denominator of w*(d\/20)\/(-6) and 49\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 86*s**2 - 2*s - 137. What is n(-86)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*v - 5 - 19, -4*r - 351 + 348 = v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -54*m**3 - 10*m + 5. Let w(v) = -53*v**3 - 12*v + 6. Determine 6*g(i) - 5*w(i).\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570746 divided by -785373?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984150459?\nAnswer: 2984150459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -2 - (-2 + -2). What are the prime factors of ((-104)\/12)\/(p\/(-27))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 571411?\nAnswer: 1142822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 10*m + 6. Let g(o) = -2*o**2 + 11*o + 5. Let d(n) = 6*g(n) - 5*z(n). Find the second derivative of d(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10033343?\nAnswer: 971, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18366458 and 0.15?\nAnswer: 2754968.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 334391537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose -43 = -4*g - u. Suppose o + 0*o + x = -3, g = -5*o - 4*x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x + 2 + 2*x**2 - 10411*x**3 - 15*x + 1425*x**3 - 2738*x**3 + 6.\nAnswer: -11724*x**3 + 2*x**2 + 3*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**39*w**(-19\/3) assuming w is positive.\nAnswer: w**(101\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {q: 3, f: 1, p: 1, l: 1, d: 6, c: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001524247008 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - s - 23 = 0, 0 = -r + 2*s - 9 + 6. Solve -2*g = 5*g + r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 52*b - 42 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165 - 144) + 1 + -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*4\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b + 16 = 35*b. Find the second derivative of t**b + 2*t - 2*t**4 - 18*t - 3*t**3 wrt t.\nAnswer: -12*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 11*f + 14. Let w be l(12). Suppose -7*v = -w*v + 5, -v = -h - 2. Which is the third smallest value? (a) 0.1 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d. Let z(h) = -3*h. Give 5*a(k) + 6*z(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20646823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 at least -376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r = 37*r + 518. Suppose 815 = 3*l + 4*q, 1078 + r = 5*l - 4*q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2358 and 2358.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -90, -125, -174, -243, -338?\n\"Answer: -r**3 - r**2 - 25*r - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**2\/2 - 50. Let h(d) = 120*d - 21. Let j(w) = -12*w + 2. Let z(u) = -2*h(u) - 21*j(u). Calculate z(o(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 - 2680*i. Let o(s) = -518*s**2. Calculate v(o(p)).\nAnswer: 268324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c - 64. Calculate l(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -185, -402, -695, -1058, -1485?\nAnswer: -1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -813685\nAnswer: -325474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4667741*0.9\nAnswer: -4200966.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-3) + 144\/(-15))*-5. Let x be l\/14*2\/(-3). Let t = 5 - 3. Put 3, t, 24, x in decreasing order.\nAnswer: 24, 3, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272\/5*z - 336\/5 - z**4 - 33\/5*z**3 + 101\/5*z**2 + 1\/5*z**5 = 0.\nAnswer: -4, -3, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4))**(2\/91)*(n**(4\/5))**(-3\/2) assuming n is positive.\nAnswer: n**(-496\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11749 - -11748.999996268. What is j rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 345.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 3, b: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 + 6*k + 2*k**3 - 19*k - 23*k in the form y + f*k + s*k**3 + q*k**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1 + (-6)\/4). Let u = 418 - 414. Suppose u*z - 16 = 4*b, -2*z + 35 = -4*b + 19. Sort o, 7, 5, z in descending order.\nAnswer: 7, 5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5691 is divided by 234?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78573 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 959 and 411.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h - h - 8*h - 7*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -679, -3, 4, -9, 0, 5 in increasing order.\nAnswer: -679, -38, -9, -3, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 5*b - 9. Let p(d) = -2*d**2 - 9*d - 19. Let a(f) = -9*m(f) + 4*p(f). Give a(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37213882 to the nearest integer?\nAnswer: 6100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045381 rounded to 5 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3570)\/(-84) - 22\/4. Put c, -6, -5, -3 in descending order.\nAnswer: c, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 33*d**2. Let u(q) = q**2 - 10. Calculate u(i(a)).\nAnswer: 1089*a**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 21*r - 10. What are the prime factors of h(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 595 + -639.92. Let c = -45 - q. What is the nearest to -0.1 in 2\/9, -5, 0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8628 divided by -6.\nAnswer: -1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1005b + 24?\nAnswer: -10037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -315*f**5 + 195*f**4 + 265*f**3 - 95*f**2 - 50*f = 0.\nAnswer: -5\/7, -1\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 20*t**2 + 73*t - 32. What is the hundreds digit of g(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -3*t + 7*t. What is the smallest common multiple of (0 - -2)*(10 - 11)*-3 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.14158 + -1.16. Round v to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4066 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - b - 54 = 4*r, -4*b + 15 = -r. Calculate the remainder when 92 - (-6 - r - 4) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 44*x**3.\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by ((-20)\/(-30))\/((-2)\/(-84)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 a when three letters picked without replacement from memamammejmeme?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 493886182 a multiple of 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4 - -4) + -3 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrorrrrorrrrrrr. What is prob of sequence rroo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4191 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20993*x**2 - 192*x - 189*x - 20985*x**2 + 381*x.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10424351 + -2052?\nAnswer: 10422255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)\/(c**(10\/3)*c))\/(c*c**(-2))**4 assuming c is positive.\nAnswer: c**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + sqrt(11)*2 + 5 - (0 + sqrt(539) - (-5*2*sqrt(11))**2).\nAnswer: -4*sqrt(11) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 4, v: 3, z: 5, s: 3, l: 1}. Give prob of sequence szlz.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -2\/13, 1\/3, 89\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t - 14. Let q be (0 - 1)*(t - -1). Suppose -q = -5*m + 12. Solve m*z - 4 = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/5 - 18636*i\/5 + 1548324\/5 = 0. What is i?\nAnswer: -6294, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -0.2, -4, -0.5 in descending order.\nAnswer: 26, -0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:50 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 13*j = -2856. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**2 - 5*x + 10. Let h(z) = -2*z + 4. Calculate 3*h(t) + 2*y(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 3, l: 4, v: 1}. What is prob of sequence cl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3758\/3443 - -2\/3443. Let n = 93\/55 + t. Put n, -3, -0.2 in decreasing order.\nAnswer: n, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/28*-4 - 1*-3. Suppose 5*r - 80 = -v*r + 5*t, t + 79 = 4*r. Suppose a + 50 = 5*n, 3*a + r = 4*n + 6*a. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166 - 140*k**3 + 105 + 2*k**5 - 4*k**5 - 10*k + 283*k**2 - 285*k**2 - 101 wrt k.\nAnswer: -40*k**3 - 840*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -21a82845?\nAnswer: -21a82854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 18*j - 44. Let c be z(-15). Let h(x) = -x**2 - x + 1. Let f(l) = 1 + 7*l**2 - 8*l**2 + 0*l**2 - l. What is c*h(r) - 3*f(r)?\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135.17 + 34.16. Let x = -0.119 - -103.119. Let d = x + p. Round d to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -456, -2, -35, -80, -4 in descending order.\nAnswer: -2, -4, -35, -80, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2. Let n(s) = 68*s**2 - 136. Let g(v) = -v**2 + 4. Let x(i) = -34*g(i) - n(i). Determine x(j(r)).\nAnswer: -1666*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*a - 609, -2*x + 6*x - 2*a - 2436 = 0. Let r = -191 + x. Let f = -268 + r. What is the greatest common divisor of f and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (14 + -26 + -2)) + -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*j**2*z**3 + j*z**3 + 4*j + 2*z**3 + 433 wrt j?\nAnswer: 94*j*z**3 + z**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 + 19*z**3 - 9015*z + 78*z**3 + 9017*z.\nAnswer: 79*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*y + 2*y + 91 = -629. Let w = 8 - -36. Which is the third biggest value? (a) w (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 23 = -8. Suppose 0 = 4*l - l - 75. Suppose o*b - l = 2. Solve 5*t = 6 + b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 6. Let v be r(-8). Suppose 2*i - v = 4. Calculate the lowest common multiple of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355080 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 24.74047 decades?\nAnswer: 2968.8564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c\/(c\/c**(-2\/9))*c)**14*c**(-1\/6)*c\/(c*c**3)*c*(c\/(c\/c**(-3\/5)))\/c**4 assuming c is positive.\nAnswer: c**(4151\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1950.75, -5, -109 in descending order.\nAnswer: -5, -109, -1950.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 + 7. Let k = 5.4 + -5. Let p = d - k. Which is the nearest to p? (a) -3\/2 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -39. What is the remainder when o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1527 = -5*p. Suppose 3*j = p - 77. Suppose 4*d + 4*w - j = 0, -5*d + 172 = -0*d + w. Calculate the highest common factor of 51 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -121588.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 2 - 47. Suppose -5*h + 5*o - m - 6 = 0, -o = -3*h - 9. Does 18 divide 134*((-21)\/(-6) + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 + 0*h**5 - 5*h**5 + (-3*h**3 - 3 + 3)*(5*h**2 - 18*h + 18*h).\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**2*w**3*x - 106774*g*w*x - w**3 + 71*w**2 - 28*w*x - 96 wrt g?\nAnswer: -6*g*w**3*x - 106774*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29892 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*w + 3. Suppose 4 = 3*z + w*h + 3, -3*z = 4*h - 2. Factor 2 + 8*x**2 - 2*x**2 + 0*x**z + 6*x + 2*x**3.\nAnswer: 2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12)*-4*-6)*2.\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(12) - sqrt(108)\/(sqrt(9)*-1)) + sqrt(12))**2*-1*1*-1.\nAnswer: -560 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22213, 23433, 24653, 25873?\n\"Answer: 1220*y + 20993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25249181 or -227242634\/9?\nAnswer: -227242634\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22*b + 4. Let m(z) = z**2 - 3*z + 2. What is the remainder when v(0) is divided by m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 8 = 2*v, -2*s = -2. Suppose 2*b + 150 = 7*b - 5*r, v*r = -15. Suppose u + 4*u = b. Solve -u*c - 19 + 47 = -k, 4*k + 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595331479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4466157*y**2 - 26*y + 12507 wrt y?\nAnswer: -8932314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41171.\nAnswer: 13, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -1\/12*y**4 - 6 - 2*y + 5\/2*y**2 - y**3. What is k(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826383.8 millennia in decades?\nAnswer: 82638380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 + 5 + 0 + -7 + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1670, -1647, -1602, -1529, -1422, -1275?\n\"Answer: p**3 + 5*p**2 + p - 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**3 + 44*u**2 + 267*u - 1344. Calculate a(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:49 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - 133\/14. Let t(o) = -3 - o - 5 + 0. Let n be t(a). Is n smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 12*c - 8. What are the prime factors of w(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -1\/5, 26, -4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9330*r. Let o(b) = -12069*b. Calculate o(v(n)).\nAnswer: 112603770*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 458, -3 in descending order.\nAnswer: 458, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8107 by 11.\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1395209545277 + -0.47.\nAnswer: -1395209545277.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15526 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + 4.96. Which is the second biggest value? (a) t (b) -2\/23 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -6. Let m = 3 + v. Suppose m*w + 21 = -5*z, 2*w + 4*z + 15 = -3. Put w, 2\/7, -4 in descending order.\nAnswer: 2\/7, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 497 - 498. What is the nearest to i in 6, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 271. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9960849 by 5.\nAnswer: 9960849\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, 28.1, -40, -5.\nAnswer: -40, -5, 28.1, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35*-4)\/(-2)*8\/(-10). Let k be (2 + n\/21)*(-81)\/2. What is the greatest common factor of 351 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 65. Which is the closest to r? (a) -0.1 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*a, -23*a = 2*z - 27*a - 13070. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6061266 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 34593737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/12 + 34322\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -938 - 61?\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 48650\/(-154) + 1 + (-12)\/11. Let c = z - -2557\/8. What is the common denominator of ((-9)\/(-168))\/(1\/(-74)) and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1472, -7502, -23756, -55346, -107384?\n\"Answer: -852*m**3 - 66*m - 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-18)\/189 - 16\/(-21)). Let b be (c - 4 - 76\/16)*-3. What is the closest to 7 in -3, 1, 6, b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*a - 293*a - 380 = 0. Let s be (-10)\/(-4)*26*1. Let n = s + a. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16363, 16671, 16979?\n\"Answer: 308*s + 16055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 3*d - 4*q - 1102, -4*d + 1484 = -q. Let w = d + -179. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-69)*3\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/25 (c) 2\/9 (d) 2 (e) 0.2 (f) -2\/53\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 348*r - 23. Let n = 1 + 20. Suppose 0 = 5*a - n + 1. Is g(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 59*n - 22. Suppose -30 = -0*r - 2*r - 2*o, 2*r + 5*o = 45. Suppose -r*p = -13*p + 21. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:13 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*u + 6*u - 12 + 12*u in the form z*u + w and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3057463 + 185800*r**3 - 3057463.\nAnswer: 185800*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-21)*-42*1\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-3)\/(-3) + -4. Sort 5, -9, -1, k in decreasing order.\nAnswer: 5, k, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(2483\/65 + -11). What is the greatest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 241, 254, 269, 286, 305, 326, 349?\n\"Answer: b**2 + 10*b + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 - -194. What is the remainder when 19 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + 2*o**2 + 5*o**2. Let v(k) be the second derivative of -k**4\/4 - 2*k. Give n(v(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.95152g in nanograms?\nAnswer: 45951520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from kksss?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:12 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3100, 3064, 2994, 2884, 2728, 2520, 2254, 1924?\nAnswer: 1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166349279 to the nearest integer?\nAnswer: 12898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -249, -116 in decreasing order.\nAnswer: -4, -116, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = -0*h. Let k be h + (0\/(-1))\/2. Suppose -4 = -k*l - 4*c + 26, 10 = 3*l + 4*c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -314 + 143. Suppose a*r = -4*r + 23506. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let f = -1 + 3. Let a be (2\/(-28))\/(1\/f). Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 79*n**5\/60 + n**4\/12 - 4*n**2 - 126*n + 1. Suppose -4 + 3 = v. Is p(v) 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 969 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l*m**3 - 3*l - 3*m**5 + 33*m + 2 wrt m.\nAnswer: 30*l*m - 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 3. Let s be (5 + (-39)\/15)*50\/(-4). Is ((-4)\/a)\/(s\/28575) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/27 (b) -1 (c) 11 (d) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g = -3*g + 792. Suppose g - 93 = -15*n. Find f such that f**5 - 5\/2*f**2 + 0*f**3 + 5\/2*f**n - f + 0 = 0.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.7 + 33. What is the closest to 2 in -2, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119716?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f. Let n be 2\/4*1 - f. Let d = 3235.7 + -3236. Which is the closest to 3\/4? (a) d (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003554 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 67*z**2 - 402*z + 3. Let b be f(6). Put -4, 4, -8, -632, b in decreasing order.\nAnswer: 4, b, -4, -8, -632","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7610*j**4*u**3 - 7*j**4*u**2 - 1046*u**3 + 4*u**2 + 5*u with respect to j.\nAnswer: 30440*j**3*u**3 - 28*j**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24514 divided by -1\nAnswer: 24514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*r + 35, l + 3*l + 2*r = 140. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) -1 (c) -2\/3 (d) 2\/7 (e) 0.1 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/7*z**2 + 0 + 0*z + 2\/7*z**3 = 0. Calculate z.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.61 - 0.610384. Round r to five decimal places.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 101252 and -248.103.\nAnswer: 101003.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let u(t) = -t**2 + 13*t + 1. What is u(b) - 5*y(b)?\nAnswer: -b**2 + 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5466 from -3124.\nAnswer: -8590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 - 6*n**2 + 4*n + 84 - 16*n + 8*n**2 - 429 as y*n**2 + k + g*n and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-2)**2*-5 + (sqrt(275) + -1)**2.\nAnswer: -10*sqrt(11) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7525 is divided by 2496?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -26, 51, 14, -8, -1 in ascending order.\nAnswer: -26, -8, -4, -1, 3, 14, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29470 and 0.574?\nAnswer: 29470.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14991 and 3097?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 4*f - 22 = -2*q, -4*q + 4*f = -28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/12 + 3\/(-18). Suppose 5*b - b - 452 = 2*k, -232 = -2*b + 4*k. Let z = 2131\/19 - b. Is x smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1 - (-4)\/2. Let a = 3 - b. Sort a, -5, 5 in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -58 (b) -0.5 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15*(2\/(-3))\/(680\/3876)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4157760*n**3 + 64715484*n wrt n?\nAnswer: -24946560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11*h + 1. Let l(s) = -46*s - 2. Calculate -2*l(b) - 9*n(b).\nAnswer: -7*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*z**4 + 12384*z**3 + 22381*z**2 - 4 wrt z?\nAnswer: 744*z + 74304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488131 is divided by 232.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757721608 to the nearest integer?\nAnswer: 27527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56482599 is divided by 7060323?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114 - 683\/6. What is the nearest to 0.3 in -0.3, -0.4, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001073143 to seven decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000777020421 rounded to 6 decimal places?\nAnswer: -0.000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257053*c**2 + 514108*c**2 - 257051*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-13 + -32)) + (-3 - 2) + (1 - -5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*d**2 + 118*d + 36 - 26*d**2 - 9*d**2 to the form l + i*d + c*d**2 and give i.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + f + 12 - 2*f)*(-3*f + 0*f + 6*f)*(5 - 3*f - 5).\nAnswer: 9*f**3 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m = 18*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/5))\/(((p*(p\/((p*p**4\/p*p*p)\/p))\/p)\/p)\/p))**(1\/11) assuming p is positive.\nAnswer: p**(32\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90713957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5784 and 482?\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 21*o + 7*o - 2*o**3 - 409.\nAnswer: -2*o**3 - 5*o - 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1195.2921 to zero dps.\nAnswer: -1195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 14 = -2*u, 3*u = 5*g - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/51 and -7\/1466.\nAnswer: 74766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let t(b) = b. Let j be ((-2)\/(-12) - (-140)\/24) + 0. Suppose -6*h - 225 = -h. Let n be h\/20*(-16)\/j. What is n*y(r) - 7*t(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*s**3 - 2726*s**3 - 892*s**3.\nAnswer: -3514*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -209. Solve -5*q - m = -3*x + x, -q - 3 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*q = 414*q - 4291 - 1942 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -8, -19, -34, -53, -76, -103?\n\"Answer: -2*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**3 + 13*f**3 + 17*f**3 - 6*f**3 - 7*f**3.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -481056.\nAnswer: 1\/481056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855 + 2285 = -99*p - 4520 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 32 - 18)*(0*m + 5*m + 5*m) + (-2*m + 0*m + m)*(5 + 1 - 7) - 5*m - 5 + 5 in the form b + n*m and give n.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -6645, -15195, -27229, -42747, -61749?\nAnswer: -84235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 divided by -3?\nAnswer: 704\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*t + 3)*(7 - 4 + 0)*(178*t + 246*t + 75*t) as u*t**2 + z*t + h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1444*l - 213623. Calculate j(-148).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 2. Suppose -2*o = -t + 2*t + 7, -o + 3*t = 21. Let x be n(o). Suppose -4*u + 2*z + x = -0*z, -2*u + 8 = 2*z. Put u, 1, -1 in ascending order.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16*b*(b**(-16)*b)\/b*(b\/(b**(4\/3)\/b))\/((b\/(b\/b**(-4\/7)))\/b*b) assuming b is positive.\nAnswer: b**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.54103919 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 4*w + 4*w)*(0 + 3 + 38) in the form f + q*w and give q.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 14. Suppose -2*k - i + 4 = i, 2*i - 16 = 2*k. Let g(v) = 2*v + 5. Give k*p(q) + 8*g(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**3\/15 - 10*m**2 - 348. What is o in p(o) = 0?\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -670, 0.01, 2.\nAnswer: -670, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + 3 + 1 - -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*g - 467*g - 3 + 48*g**4 - 4*g**2 + 214*g + 1 wrt g?\nAnswer: 576*g**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-3\/23))**39)**(-2))**(2\/5))**(8\/11) assuming f is positive.\nAnswer: f**(3744\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 + 0?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**2 - 11\/12*z**4 - 6*z - 1 + 0*z**3. Let c(h) be the first derivative of w(h). Let g(u) = u**2. Calculate c(g(f)).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/4 + 2*x**3 + 3*x**2 + 7*x - 17. Calculate v(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) + sqrt(576)*-1)*2)\/(sqrt(384)\/sqrt(2) - sqrt(12) - (sqrt(1452) - (1*sqrt(1452) - sqrt(1452)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 13*d**2 + 5*d + 6. Let j(h) = 9*h**3 + 27*h**2 - 11*h - 13. What is -6*j(f) - 13*x(f)?\nAnswer: -2*f**3 + 7*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/6392870 and -67\/29058500?\nAnswer: 319643500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 119581777 to the power of 1\/3, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose -s*x + 0*x = -64. Suppose 2*r = 6*r - x. Calculate the smallest common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1025 - 4134?\nAnswer: -3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(42\/3) + 114\/(-36) + 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2. Suppose -46*b + 39 = -43*b. Let v(k) = 42*k**2 - 9*k**2 - 9*k**2 - b*k**2. Give i(v(d)).\nAnswer: -363*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -3)*(-1 - 5 - -7). Let l(w) be the first derivative of 8\/21*w**3 - 9 - 1\/21*w**6 - 1\/7*w**2 + 8\/35*w**v + 0*w - 3\/7*w**4. Factor l(r).\nAnswer: -2*r*(r - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263956 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14652060 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 86*x. Let n(y) = -1673756*y**2. What is p(n(s))?\nAnswer: -143943016*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:03 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 + -0.06. Let u = 5 + -3. Suppose -2*j = 5*q + 13, 2*q + 10 = u*j + 2. Which is the nearest to n? (a) q (b) -4\/3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3284\/7 + 470. Let z = -0.2 - 0.3. Which is the biggest value? (a) z (b) p (c) -0.2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.067 times 4827\nAnswer: 14804.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {a: 1, f: 2, j: 3, l: 1, z: 2, s: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6535 = y, -3*z - 2*y = 2*y - 6529. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84 - 2*s + 10*s - 254*s**2 + 24 + 37 wrt s.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 20*v + 245. Calculate y(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.3. Let y = -9 + 7.6. Let b = y + -0.6. What is the second biggest value in b, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*g = 0, 5*g - 30 + 5 = 0. Suppose 5*n = w + 3 + 8, -12 = -4*n + 4*w. Put n, x, 4 in ascending order.\nAnswer: n, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-60) - 3\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27660200 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57856955 + 57856952.30000042. Let n = m + 2.7. Round n to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110201360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -116, -151, -188, -227, -268, -311?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291982 is divided by 1482.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 32*o - 208. Let j be x(-38). Suppose 3*g + n - 1135 = 0, 0 = -4*g + 16*n - j*n + 1524. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.54, -2\/9, -4, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12 + 0 + (1 - 3). Let l be 12\/42 - 1690\/u. Let j be (-22)\/(-3)*3\/2. Calculate the highest common factor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*s + 9*s - 2*j, j = -2*s + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 7:15 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*f - 7962 = 1070*f + 516*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 1265*d**2 + 9*d - 88*d**2.\nAnswer: -1353*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164684286 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l + 8*l**4 - 12*l)*(-18 + 11 + 8).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 63441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -200 (c) 4 (d) -3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w\/(w\/w**(1\/2))*w)\/w)\/w)**(1\/10)*w**(-1\/3)*w*w\/(w\/w**8)*w assuming w is positive.\nAnswer: w**(583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -38. Let g = 13 + d. Let v = -3 + 2. Which is the nearest to v? (a) g (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/8 in 0.19, 3, 0.4, 0.17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832709084.\nAnswer: 2, 757, 275003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t**2 + 2050*t + 331. Let q be s(-116). What is the greatest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 6}. What is prob of picking 4 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.017 and 11213189.\nAnswer: 190624.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 9. Calculate the least common multiple of l(-5) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 717 - 4313\/6. Suppose 5*m = -6 - 9. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000421116559 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0. Let a = -0.1 + n. Let t = -374\/63 - -40\/7. Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 9. What is the third derivative of a*q**6 + 2*q**2 - 2*q**6 - 6*q**2 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -0.0364392632 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-660)\/(-345) + (-64)\/(-736)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5602735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -17843?\nAnswer: 1783c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-105) + (-12)\/(-60)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222051 + 222051 - 467*k.\nAnswer: -467*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 434?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - t + 23654, 4*v - 5*t - 94611 = -4*t. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.556362998 rounded to two dps?\nAnswer: 13.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 0*z**3 - 21*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h + 260. Calculate w(-33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2. Let r(c) = -9*c. Let m(u) = 537 - 690*u - 537. Let a(x) = -m(x) + 5*r(x). Determine a(w(v)).\nAnswer: -1290*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1807723 (base 9) to base 15.\nAnswer: 14e1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2089*b - 497239 = -254915 for b.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 239.\nAnswer: -14\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/(20\/25) + -5). Let p be 34\/(-40) - 6\/(-10). What is the biggest value in z, 1, -0.045, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 35*q**2 - 3 - 261*q**2.\nAnswer: -296*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136260 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(0 + sqrt(5)) + -3)*-6.\nAnswer: -54 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 23*u**2 - 21*u - 2. Let x be c(22). Find the second derivative of 18*z**2 - 15*z - 2*z**4 - 8*z - x*z + 3*z**4 wrt z.\nAnswer: 12*z**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 46*v**2 + 14. Let d be q(-23). Suppose 10*u + 360 = d*u. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:19 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 97 - 781*w**3 + 779*w**3.\nAnswer: -2*w**3 + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38301689?\nAnswer: 67, 113, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 58\/3. Which is the nearest to n? (a) -0.2 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -350, 0, 11.\nAnswer: -350, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*y = -10, 3*y = 4*o + 40 - 28 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + -0.42. Let d = b - -6.85. Let x = -6 + d. What is the second smallest value in -4, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56770 and 811?\nAnswer: 56770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 90 + 107 - 2*f + 63 + 99.\nAnswer: -2*f + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 28*h = 2. Suppose 0 = 3*t - 4*u - 141, -4*t + 4*u = 2*u - 188. What is the remainder when t is divided by (h - -5)\/3 - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 112\/(-168) - 436\/(-6)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 1, q: 2, m: 1, y: 1}. Give prob of sequence ym.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21c42e (base 16) to base 10.\nAnswer: 2212910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -65498.\nAnswer: -2\/32749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-218*s + 339*s + 539*s - 4 + 4)*(4*s**2 - s**2 - 4*s**2).\nAnswer: -660*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -13*t**2 + 0*t**5 + 5\/8*t**4 + 0*t + 13\/120*t**6 + 0*t**3 + 0. What is the second derivative of w(s) wrt s?\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3\/5, -1, -52 in decreasing order.\nAnswer: -1\/2, -3\/5, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from uuusuuuuuuuuuo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 10*i - 5082. Suppose 43*k - 65*k = -i. Calculate the remainder when 55 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/11 - 74*q\/11 - 504\/11 = 0.\nAnswer: -28, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 4:43 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37200 is divided by 37135.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58870, 117734, 176598, 235462, 294326?\nAnswer: 353190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30448 + -5297839\/174. Find the common denominator of 26\/15 and r.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -4 - 7)*134\/(-8). Suppose -4*l + 117 = -2*z - p, -l = 3*z - 60. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*226.4709\nAnswer: -249.11799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q**3 - 2*q**2 - q. Let w be ((-36)\/(-39))\/6 - (-60)\/(-52). Give x(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.09, 232950, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108*b*t**3 + 5417*b*t**2*y**2 + 4*t**3 + 198*t**2 - t*y**2 - 20*t*y - 3*t wrt b.\nAnswer: -108*t**3 + 5417*t**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -2 (b) -0.2 (c) -155495\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 6*m**2 + 5*m + 5. Let y be a(5). Suppose -3*h - 89 + y = -v, -2*v = 3*h - 213. What is the tens digit of v\/2*8\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 25. Let k be l\/6 - 160\/132. Let z = k - -52\/55. What is the second smallest value in -0.1, z, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 10. Let n(x) be the first derivative of x**2\/2 + 50. Calculate n(t(l)).\nAnswer: -l - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.0393239\nAnswer: -0.00786478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/(-50) - 5\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003653 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -173, -109, -3, 145, 335, 567, 841?\n\"Answer: 21*m**2 + m - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-840))\/(1\/(3*2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-828)\/(-184)*(-2)\/(-27)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*508*5\/(-5). Round m to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1795142*j**2*v**3 + j**2*v**2 + 3*j*v**2 - 1606*v**3 wrt j.\nAnswer: -3590284*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*h = -80*h - 18. Suppose 3*t + h*a = -t - 5, 0 = -4*t - 2*a - 6. What is the closest to t in -0.3, -2\/13, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -8. Let h = 2 + c. What is the nearest to 1 in 0.1, -4, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (60 + -35 + -11).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 1, u: 5, p: 1, m: 3, c: 4}. Give prob of sequence cmx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416891 at most 1416887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 16*g + 24. Give b(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498 = 6*p + 4*t - 500, -14 = 22*p + 4*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -806496 - -806442.128536. Let b = 1.132236 - c. Let d = -55 + b. What is d rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 808, 1212, 1616?\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/6)\/((-3)\/(-9)). Let d = 152 + -82. Calculate the highest common factor of d and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14999 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*s = -1, 6*s + 11 = i + s. Let l = -3\/5 + 38\/55. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 - 0.05. Let y(w) = -w**2 + 4*w - 1. Let o be y(2). Sort o, -0.4, l in ascending order.\nAnswer: -0.4, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m**3 - 2*m + 1. Let u = -2256 - -2257. Determine r(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 37 = -4*z, 8*z = -1768*q + 1772*q - 84 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let j(w) = 4*w. Let o(q) = -14*c(q) + 3*j(q). Let t(d) be the first derivative of -3*d**2\/2 + 1. What is o(t(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/4 and 35\/956.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (116 - 114)*(5 + -4 + 3). Solve k*w - 270 = 38*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 2 - (-50 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 1\/3, -0.02, -1, 4, -61?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {l: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/32 + (2781\/6360 - (-72)\/1908)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832 + 855. Solve -4*m - 5*n - 18 = -2*m, d = 3*m - 5*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -36?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 4420\/(-12))*-1. Let z = -396 + l. Calculate the common denominator of 37\/5 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 8, o: 4, m: 3}. What is prob of picking 1 q and 1 m?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 13*q**2 - q + 3. Let l(w) = w**3 - w**2. Let j(m) = 3*l(m) + r(m). Calculate j(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*w - 102 - 330 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**3 + 113*l + 99*l - 314*l + 102*l.\nAnswer: -45*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-24))\/(210\/(-17031)) + (-11)\/165*1?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a78 (base 12) in base 9?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.645 + 5.04. What is q rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*d + 155 wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + k - 22612, 4*w + 10*k - 18096 = 6*k. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:38 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 23*y + 90. What is u(26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 11*h**2 - 8*h + 1. Calculate a(-11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140668 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 60204 = -5*q + 4*x, -75247 = -5*q - 6*x. List the prime factors of q.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -2, -0.042, 12.5, 0.07?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 4. Let s(r) = r + 1. Let w(i) = b(i) + 3*s(i). What is w(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4323 + 17*f**3 + 2158 + 2167 + f**3 + 4*f**2 + f + f as v*f**3 + y + t*f**2 + s*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - 0.12. Let s = 0.06229 - 0.06229. What is the second smallest value in n, 3\/2, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27846\/1428*(4\/(-30))\/(2\/(-10)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h + 9*h = 11988129. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*p = -0*p + 994, -4*p = -3*z + 1505. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 2*t + 1. Let s(r) = 9*r**2 + 14*r + 5. Let z(y) = 4*c(y) - s(y). Calculate z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15 + -5.85. Let f = -4.4 - -1.8. Let j = -4.6 - f. What is the second smallest value in j, 0.4, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1096004033 - -1096004042.60000139. Let w = -9.6 + h. Round w to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57*(-123)\/49077)\/(3\/3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - h**3)*(6*h + 5*h - 5*h) + (-4 + 4 - 2*h)*(0*h**2 - h**3 + 0*h**2) - 8*h**4 + 10*h**4 + 0*h**4.\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:36 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5\/3 + 5*s**4\/3 - 40*s**3\/3 - 20*s**2.\nAnswer: 5*s**2*(s - 3)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 5*d**2 + 3. Let y be g(5). Let n = -6 + y. What is the units digit of (-9)\/2*10\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20399\/3 + 6800. Suppose -7\/3*g + 2*g**3 - 8\/3*g**2 + 0 + o*g**5 + 8\/3*g**4 = 0. Calculate g.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 18. Calculate the remainder when 7 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let c(v) = 17*v**2 + v + 1. Let h(s) = -35*s**2 - 2*s - 1. Let y(p) = -5*c(p) - 3*h(p). Is 30 a factor of y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2. Let m = -14 + 10. Let o(y) be the second derivative of 7*y**4\/12 + y. Let g(k) = m*o(k) - 5*i(k). Let n(w) = 6*w. Give n(g(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t**2 + 16*t - 18. Let b be m(7). Let u be (5 + b)*(-4)\/2. Calculate the smallest common multiple of ((-26)\/(-14) - -4) + u\/(-14) and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 0 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4035*t - 18311 = 7272 + 47148 + 100774 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 930*k - 925*k. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180*i + 360*i - 4*i**3 + 385*i + 435*i + 0*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7620*o + 13238. Let f(x) = -1524*x - 2648. Let j(p) = -4*c(p) - 21*f(p). What is the derivative of j(m) wrt m?\nAnswer: 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let l = 7 + 1. Solve 0 = j - y*q + 6, -3*q - q - l = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/65*3\/(72\/44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.74 and -10.\nAnswer: -15.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 6*z**2 + z - 3. Let m be n(-6). Let p = 21 + m. Let u(f) = -8*f**2 + 149*f - 58. What is the least common multiple of u(18) and p?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 61722*u + 61643*u + 96.\nAnswer: -79*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.66 + 2.66. Which is greater: v or 15.9?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -118113*n. Let m(z) = -2*z. Give o(m(y)).\nAnswer: 236226*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 7*k**2 + k + 10. Let p be j(-7). Suppose -2*h = -m + 16 - 1, m = -2*h - 9. Is (-3 - h)\/p + 96 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -331047*c*q - 18*q + 1826 with respect to c.\nAnswer: -331047*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**6\/24 - o**4\/12 + 7*o**2. What is the second derivative of c(z) wrt z?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 14. Calculate the common denominator of (-16)\/96*(268\/b + 0) and ((-16)\/45)\/((-2)\/(-40)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27117 and -27117 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 18\/11 (c) 30\/491 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 705, -19\/3, -64, -0.4 in decreasing order.\nAnswer: 705, -0.4, -19\/3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5630, 1122, -3384, -7888?\nAnswer: -12390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 19080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/120)\/((-3)\/16)*(-54)\/56196. Sort m, 5\/4, -1, 0.2.\nAnswer: -1, m, 0.2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 20. Let w(d) = -d**2 - 12*d + 46. What is the remainder when w(-13) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16051 (base 7) to base 14.\nAnswer: 18d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140734, -141813, -142894, -143977, -145062?\nAnswer: -146149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 - 7*i + 3. Let p be a(-6). Suppose 11230 = 14*v - p*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a meter in centimeters?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*w - 24*w + 97. Let a(z) = -2*z**2 - 5*z + 52. Calculate a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(2\/40)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*m + 104. Let s = -49 - -49. Let o be (m + -21)\/(12\/(1 - s)). Which is the closest to o? (a) -4 (b) -1\/2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.53 (b) 0 (c) 2\/14345 (d) 1.3 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565*w + 339 = -1532*w + 108 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -1 - 3\/4*i**4 + 0*i**3 + 0*i**2 + 49*i. Let n(s) be the second derivative of -s**3\/2 - s. What is p(n(a))?\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3844, 8002, 12188, 16408, 20668, 24974, 29332?\nAnswer: 33748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*f**5*q + 4*f**5 + 21*f**2*q + f + 377*q - 3 wrt f?\nAnswer: -240*f**3*q + 80*f**3 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - r + 30 = 0. Solve -10 - 10 = r*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9192565 days?\nAnswer: 79423.7616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1402, 1332, 1198, 1000, 738?\n\"Answer: -32*w**2 + 26*w + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c**2 + 645*c - 645*c. Let w(t) = t**2 + t - 1. Let z(v) = -v + 1. Suppose 0 = -0*l - l + 2. Let u(i) = l*z(i) + 2*w(i). Give s(u(f)).\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1257384 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4104502 is divided by 27733.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3)\/y**(-9)*(y**(-1\/2)\/y)**(-38))**15 assuming y is positive.\nAnswer: y**1050","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*s - 18, -54 = -3*h - 0*h + s. Let w be -9*7\/(-42)*8\/h. Let l = -0.6 - -2.6. What is the nearest to l in w, -2, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319105913 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z + 6. Let t(x) = 4*x - 4. Let j be t(z). Calculate the greatest common factor of j and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 96*y**2 + 603*y**2 - 328*y**2 + 3*y - 78*y**2 - 97*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 109*n**2 + 447*n - 24957. Give u(111).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*q - 92*q - 66*q - 79*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:53 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*z + z. Suppose -3*i = x + 9, -35 = -5*x - 0*i + i. What is the greatest common divisor of z and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129378.8 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/i**(-7))\/(i*i**(-2)*(i\/((i\/i**(-8))\/i))\/i) assuming i is positive.\nAnswer: i**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 58*b + 6*b - 2616 - 70*b - 2*b to the form w + p*b and give w.\nAnswer: -2616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6 - 3\/(-2). Let z be -2*c\/(-4)*11. Suppose -4*s + 1 = -z. Let i(b) = 2*b**2 - 2*b - 1. Let f(d) = -10*d**2 + 10*d + 6. Give s*f(q) + 16*i(q).\nAnswer: 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123300 divided by 10275?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*11\/(-55)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (264\/(-165) - 126082\/(-85470)) + (-3)\/(-21)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1848 plus 1576.698?\nAnswer: -271.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 + 3 = 0. Let d(z) be the first derivative of -13*z**2\/2 + 3*z - 52. Is d(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 549*r**2 + 1090*r - 10. What is w(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -832, -1861, -3302, -5155, -7420, -10097?\nAnswer: -13186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784 is divided by 74.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/5, -2\/45669, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.141 minus 0.34?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 9*m - 15, m = -84*s + 87*s - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2. Let w(z) = -z + 1. Let f(l) = 8*l + 4. Suppose -6*c + 2*b = -3*c - 7, 13 = 3*c - 5*b. Let a(u) = c*f(u) - 4*w(u). Give m(a(p)).\nAnswer: 432*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11318696 and 980326?\nAnswer: 10338370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttmk when four letters picked without replacement from {x: 1, k: 1, m: 1, z: 3, g: 3, t: 2}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24902193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 142 = 6*l - 34, 225*u + 72 = -4*l + 222*u for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433469 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*-232*(-37)\/(-5920)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + 123 - ((2 - 4 - -3) + 74 + 0).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:01 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 - -380. Let t = -1 + f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + 2*b + 0*b + (0 + 2*b + 0)*(3 - 2 + 1) + b - b + 2*b - b - 4*b + b - 2 to the form g*b + x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235 + -236. Let x = 2\/25 - -9\/200. Which is the third biggest value? (a) x (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 3 - 50*i**2 + 16*i**2 + 0.\nAnswer: 12*i**3 - 34*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3486?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 5*f - 19, -f = -5*x + 189. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -3\/2*y**2 + 0*y + 5 - 1\/24*y**4 - y**3. Let v(s) be the second derivative of u(s). Calculate v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1860 = 3*j + 5*q - 2*q, -j - 2*q + 615 = 0. Let x = j - -130. Is 85 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000055199 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 4*o - 250 + 788, -5*o - 165 = -5*l. Solve 31*q - l*q = 12 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 69. Let n be 1*((-175)\/21)\/((-2)\/6). Is 21 a factor of (n + -7)\/(g + 6\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -264 - 115?\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.83*-1.\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 214376 plus 122.61382?\nAnswer: 214498.61382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.06 + 0.06. Let v = 0.0571 - 0.5571. What is the second biggest value in v, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k + 13. Let t be p(0). What is the highest common factor of 221 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 - 48951*c - 48954 = 0 for c.\nAnswer: -1, 16318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811*x - 3 + 386*x + 393*x + 3.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2855616.7 rounded to the nearest ten thousand?\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 + 33 = -18*c. Find the common denominator of 44\/21 and c - (7 + (-19)\/10).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/10*92\/483\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*x = 569, 4*g - x - 2685 = -477. Suppose -5*v = 3*f - g - 221, -5*f + 2*v = -1321. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -44 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27) + (-260)\/117 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kogkgookodkydy. What is prob of picking 2 y and 2 k?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0562 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*o**4 - 7*o**2 + 42?\nAnswer: -2688*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834 = -3*f - 4*i - 838, 0 = -4*i - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - z**3 - z**3)*(-101 + 44 - 3*z + 43).\nAnswer: -6*z**4 - 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -821356 * -1\nAnswer: 821356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/102*29\/435.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = f + 91, -4*f - 77 = -3*c + 1. Suppose -c = -0*x - 2*x. Solve -2*i - 4*u + 14 = 0, 0 = i + u + 3*u - x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x. Let d(g) = -16*g. Let y(s) = -3*d(s) - 4*o(s). Let h(a) = 4*a. What is h(y(i))?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8048.707mg?\nAnswer: 0.008048707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7570 divided by -5?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 52b6?\nAnswer: -52b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87703 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7133?\nAnswer: 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470.1333nm to micrometers.\nAnswer: 0.4701333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1729 and 32604.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4567 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmnnnnnmnnm. Give prob of picking 1 m and 2 n.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.0718 + -0.0718. What is the third biggest value in -4\/3, 149, c?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 - 457*u - 3801. Determine a(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -18, 11, -5, 5 in ascending order.\nAnswer: -38, -18, -5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4849850 rounded to the nearest ten thousand?\nAnswer: -4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 34*o - 30. Are 2\/7701 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 53 = 78 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/60 and 103\/10220?\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5778 - 859. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*p + 4*r, -2*r = 3*p - p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/48 and -125\/531024.\nAnswer: 531024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 1.9, 4, -10\/11, 0.2, 7?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.058 + 11.7.\nAnswer: 11.642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (648\/567*(-42)\/(-108))\/((-2)\/15)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 3. Suppose -i = -4 - 5. What is the units digit of v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 105, -1, 2, -2\/5, -17\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18\/5 - -46\/15. Calculate the common denominator of o and -7\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21\/17 + 33\/68. Which is the second biggest value? (a) j (b) 3 (c) 0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**3*s**3 + 9*j**3*s + 24*j**2*s**2 + j*s**3 - 5024*j*s**2 wrt j.\nAnswer: -108*j*s**3 + 54*j*s + 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464904551081 - -1?\nAnswer: -1464904551080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l - l**2 - 214 - 201 - 2*l**4 + 424 in the form r*l**3 + f*l + m*l**2 + j + s*l**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 90*j - 382. Calculate w(-94).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/20)\/(33\/44*(-264)\/(-330))*42.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/20362 and 11\/10.\nAnswer: 101810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19835397.\nAnswer: 3, 2203933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5464 + 8274. What is j rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -162724*q*u**3 + q*u**2 + 140*q + 32310*u**3 + 168*u**2 + u wrt q?\nAnswer: -162724*u**3 + u**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*t + 24 + 53 = 0, -25 = 5*t. Let f = -31 + 19. Let c = f + 24. Calculate the remainder when y is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -2079*c**5\/5 - 119*c**3 - 1184. Find the third derivative of b(l) wrt l.\nAnswer: -49896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 62 = -4*v - q, -3*q = 0. What is the hundreds digit of (12298\/33)\/(12\/v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*i**2 + 1 + 6*i - i - i**4 - i**4 + 2*i**3 in the form o*i**2 + f*i**4 + b*i + z + a*i**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*k - 2, -4*c - 17 = -3*k. Put 1, -4, c in decreasing order.\nAnswer: 1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3899998 - (4 + (-1 - 1)). What is n rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6740598 and 1803822.\nAnswer: 128071362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048 divided by 63?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2093 - -2091. Put 55, 3\/4, t in decreasing order.\nAnswer: 55, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*v**4 - 101*v**3 + 44*v**2 - 812605 with respect to v.\nAnswer: -192*v**3 - 303*v**2 + 88*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/40)\/(((-6)\/(-4))\/(-3))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82854*q = 82839*q + 150. Let n = 22 + -9. What is the remainder when n is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**3 - 20*t**2 + 173*t - 422. Determine h(6).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 2*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20) - (1 + (-17)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (sqrt(12) + (sqrt(24)*1)\/sqrt(2))\/sqrt(4)) + -5*(2*(sqrt(192)\/sqrt(4) + 3))**2.\nAnswer: -1128 - 492*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9002950 and 1540.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/(-140))\/((-7)\/((-3150)\/40)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 17*f**6\/20 - f**3\/2 - 67*f**2\/2 - 6*f - 4. Let p(a) be the first derivative of h(a). What is the derivative of p(n) wrt n?\nAnswer: 306*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49130 and 2890.\nAnswer: 49130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43930, 175451, 394650, 701527, 1096082?\n\"Answer: 43839*p**2 + 4*p + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)*m*(m**(-10\/3)*m)\/m*m)\/(m\/(m\/(m\/(m*m\/(m\/(m**(-2\/11)*m))))*m)*m\/m**(-4)) assuming m is positive.\nAnswer: m**(-160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unqy when four letters picked without replacement from uqnnqqqqy?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15213 + 22012 = -7445*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102\/205 - 4\/41. Let d = 0.53 + -2.53. What is the closest to 0 in k, -1\/8, d?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-4) - (15 - 2). Let a(m) = 2*m**2 + 6*m - 8. Let h be a(q). Let v = 73 - h. Solve -17 + 5 = 4*g + 2*t, 5*g = t - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f**2 - 3*f**3 - 17*f**2 + f**3.\nAnswer: -2*f**3 + 28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 26. Suppose -2*m - u + 21 = -4*u, m + 3*u = -k. Suppose l - 44 = -m*d, 2*d - 37 = -4*l - 11. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**2 + 2*d + 2. Let k be y(-2). Suppose 5*u + 87 = 2*u. Let g = k + u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11102 + 33322210?\nAnswer: 33333312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -2. Let a(x) = -x + 3*x - 4*x**2 + 11*x**3 - 10*x**3 + 2. Let b be a(3). Is i bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 543039*w + 18463296. What is i(-34)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -95*h**4\/4 - 8*h**3\/3 - 7*h**2 + 3*h + 109. What is the tens digit of b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5701 - 5849208946\nAnswer: -5849208948.5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1210967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 107 = -49. Let i = g + 71. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (7 - (-36)\/(-8))) + 6. Which is the closest to d? (a) -0.5 (b) 4 (c) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 18*a - 252. Let m = -118 - a. Calculate the greatest common divisor of 376 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10210021 (base 6) to base 16\nAnswer: -4875d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 25, -1929, -3 in increasing order.\nAnswer: -1929, -3, 17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**0\/o)\/o*o**(2\/5)*((o*o*o**(2\/9))\/o)**(-2\/15) assuming o is positive.\nAnswer: o**(-103\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 8*f + 3*f)*(5*f - 5*f - 10*f) to q*f + t + d*f**2 and give d.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0429749 rounded to four dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2) + 9\/7. Let l = 184 + -179. Which is the closest to 2? (a) l (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 67.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74042890 or 74042886?\nAnswer: 74042886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**3 + 14*z**2 - 36*z + 11. Is 15 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppz when three letters picked without replacement from ppyzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/20642 and -77\/10.\nAnswer: 103210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 - (0 - 0) - -3) - -35.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1280 + 1377 - (-3 + 62)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (9 + 11 - (47 + -43))) + 26.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12676308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 122, 1\/5, 0 in decreasing order.\nAnswer: 122, 67, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-12)\/(-9))*-1. Let o = y + 0. Calculate the common denominator of 2\/3 and -1 + ((-44)\/o - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.75 + -3.25. Which is the third smallest value? (a) -20 (b) x (c) 1\/6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -0.7618233\nAnswer: 33.5202252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -716*a**3*i + a**3*v*y**3 - 2*a**3*v*y + a**2*i + 6*a*i*y**3 + 3*i*v + v*y**2 wrt a?\nAnswer: -4296*i + 6*v*y**3 - 12*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1548442 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -344*j**2 + 344*j**2 + 117*j**5 + (-2*j + 2*j + j)*(-1 - j**4 + 1) + 2*j**5 - 23*j**3 + 23*j**3.\nAnswer: 118*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 44?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**14\/n*n)\/n)\/(n\/(n\/((n\/((n**(2\/23)\/n*n)\/n*n))\/n*n)*n)))**10 assuming n is positive.\nAnswer: n**(3240\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -3 - 59)*1. Let b = o - -63. Solve -4*n + 17 = i, -b*n - n - i + 12 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 4:44 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l - 3*b + 6, b = 2. Let d be l + -1 + 40 + 3. Suppose -i + 3*v = -25, -i = i - 4*v - d. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43812050, -87624108, -131436176, -175248254, -219060342?\nAnswer: -262872440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*n + 297*n - 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4)*(3*a**3 - 5*a**3 + a**3)*(a + a + a) as n*a + j*a**4 + r*a**2 + l*a**3 + t and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 54*x + 322 = -3*a, -3*x = -21 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v - 16. Let k(n) = -n**2 - 8*n - 4. Let q be k(-7). Let a(z) = 2 - 1 + z - 1 - q. Determine -11*a(s) + 2*y(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16390.3124676+30.2\nAnswer: 16420.5124676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112022 - 11?\nAnswer: 2112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b)**(-6\/19))**14\/(((b\/b**7)\/b**(-1\/3))\/((b*b**(1\/6)*b)\/(b**(-2\/7)*b*b))) assuming b is positive.\nAnswer: b**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o**4 + 0 + 1\/3*o**3 - o**2 + 0*o - 1\/60*o**5. Calculate t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n - 32. Is (4 + n - -5)\/((-3)\/(-24279)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9710 and 380?\nAnswer: 368980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 3*s**5\/4 + 3*s**4\/4 + 13*s**3\/6 + 21*s**2\/2 - 10*s. Let u(a) = -7*a**3 - 4*a**2 - 6*a - 10. What is -6*n(k) - 13*u(k)?\nAnswer: k**3 - 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -18*r - 8. Let t(y) = r - 3*y - 22 + 19 + 4*y. Let p(q) = -q**3 - q**2 + 3*q - 1. What is -p(o) + 3*t(o)?\nAnswer: o**3 + o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*c + 14, -3*c - 5*j = -c - 30. Let i be (0 - c\/(-3))*3. Suppose 21 = -2*f - 5*l + 4, 3*f - i*l - 37 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 648 and 749736?\nAnswer: 749736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 46654 (base 9) to base 11\nAnswer: 21451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 - 8*z**4 + 1 + 2*z - z**2 + 0 as k*z**3 + h*z**4 + y*z**2 + x*z + q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = -3*a + 44, 5*n - 3*a = 26. Solve 2 = -n*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 2. Let s(j) = j**2 + 5*j - 72. Let i be s(-11). Let a(r) = 10*r + 4. What is i*a(c) - 11*x(c)?\nAnswer: -5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24, 47, 72, 99?\n\"Answer: k**2 + 20*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t - t - 416 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -33. Let j = t + 2. Let h = j - 68. What is the closest to h in -0.2, -1, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 895 - 901 = 0. Let t be (4\/8)\/(g - 8 - -6). Are 3\/166 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytyceky. What is prob of picking 1 k, 1 c, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2. Let n(t) = 11*t - 16. Determine n(p(d)).\nAnswer: 22*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818736?\nAnswer: 2, 71, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3808, -3861, -3914, -3967, -4020?\n\"Answer: -53*o - 3755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3500, 14063, 31666, 56309?\n\"Answer: 3520*j**2 + 3*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 95 = 8*t, -3*d + 37462 - 37697 = -22*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 4 - 4)*(3902 - 3902 - 2035*i**2)*(-4*i + i - i).\nAnswer: 16280*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1233.404442 minus 13?\nAnswer: -1246.404442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose -r = 4*b - 4*r - 185, -s*b - 4*r + 145 = 0. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) 0.209 (c) -2\/5 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 2, a: 2, y: 7, v: 7}. What is prob of picking 1 a, 2 y, and 1 e?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*a + 7, 2*o + 2*a = -0*o - 4. Let m be (4\/(-10))\/(o\/(-5)). Is (-80 - 1)\/(-1) + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10\/(-12) + (-16)\/((-1248)\/15353) and 56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*t = -290*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7315?\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 72 = 10*l - 11*l, -2*a + 2*l = -24 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6980 take away -198?\nAnswer: 7178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {l: 5, h: 1, d: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/9 + 2\/9*o**2 - 2\/9*o**3 + 20\/9*o.\nAnswer: -2*(o - 4)*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9272*t**2 - 133*t - 133. Let b(d) = 281*d**2 + 4*d + 4. Determine 133*b(f) + 4*z(f).\nAnswer: 285*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + sqrt(1100)))**2 + ((-4 + (sqrt(1100)*-1 - sqrt(1100)))**2 - sqrt(1100)) - (4*(-3 + (-1 + sqrt(1100) - sqrt(1100)) - sqrt(1100)))**2) + -2.\nAnswer: -9038 - 1210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q. Let l(v) = 55*v. Calculate l(h(w)).\nAnswer: -385*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.07, -0.05, 1\/19, -18, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 10*y**2 - 11*y - 6. Let t be d(8). Let v = -1108 - -1135. Let g = t - v. Let w(x) = -x**2 + 6*x + 5. Give w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Suppose -d - 2 = t - 0*d, 3*t - n*d = 2. What is the units digit of (-7)\/(-2) + t\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, 6\/161695, -4\/13 in decreasing order.\nAnswer: 4, 0.2, 6\/161695, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_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: Does 1026 divide 6663870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/20 - (-1)\/(-2) - -90. Suppose 5*w - 2*w = -15, f = 2*n - w. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4628 - 1246 = -6*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1671949815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(24)\/sqrt(3)))\/((sqrt(72)\/sqrt(2) - sqrt(36)) + sqrt(36)) - (sqrt(750) - -1*sqrt(750))\/(sqrt(150) - 2*sqrt(150) - sqrt(6)).\nAnswer: 13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*c**3 + 68*c**6 + 252*c**2 - 47*c**3 + 98*c**3 + c wrt c?\nAnswer: 8160*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 - -0.08. What is the closest to 13 in 4, 0, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 12 = -103*w + 108*w, z = 2*w + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*c = -86*c - 531. Solve 4*i = -5*f + 40, c*i + 3*f = 7*f - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 7*t + 1. Let k be z(4). Suppose -k*o + 1365797 = -359203. Round o to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t + 20. Suppose 3*m = -m + 4. Let k be 207\/(-12) - m\/(-4). Let q(i) = -3*i - i + 49 - 56. Give k*q(y) - 6*h(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*(-2)\/(-12))\/(-1 - -42). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2203111 - 1130?\nAnswer: -2210301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/37 + 113\/185. Is l > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z - 6. Let t(y) be the second derivative of 5*y**3\/3 - 13*y**2\/2 - 4*y - 113. What is 7*l(j) - 3*t(j)?\nAnswer: 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 6 + (0 - 25 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(55) - sqrt(4455))*-1)\/(sqrt(5) + (sqrt(50)\/(sqrt(90)\/sqrt(9)) - sqrt(5))).\nAnswer: -48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 10*t**2 - 46*t - 156. Determine x(-16).\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*r - 6 = 3*n, -3*r = 2*n + 19. Let p be 2 + (0 - 0) - 5. Put n, p, 4 in decreasing order.\nAnswer: 4, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 495*j**3 - 316*j**3 + 1111*j**3 + (-j**2 + 0*j**2 + 2*j**2)*(-3 + 3 + j) + 5*j**3 + j**3 - 4*j**3.\nAnswer: 1293*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 14*z - 8. Let u be g(-13). Solve -4*c + 21 = -8*c - u*v, 5*v = 2*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.333 - -2.703. Let n = 8 - 6. Let i = n - z. What is i rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (585\/(-25) + -5)*(-30)\/4. Suppose -m*z**3 + 4*z**4 + 98*z**3 + 103*z**3 - z**2 - 15*z**2 = 0. What is z?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/5 - 1326*x**2\/5 - 2289231*x\/5 - 138417120 = 0. What is x?\nAnswer: -537, 2400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25282 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 4. Let b be j(-17). Let a be b\/35 + 6\/10. Solve -k = -a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -0.7. Let k = 678.32437397 + -675.424373. Let a = u - k. Round a to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 26 = -z, t - 5*z - 26 = -0*t. Let p(c) = -5*c - t*c - 6*c + 5*c + 2*c**2. Let m(a) = -a**2 + 5*a. Give -12*m(o) - 5*p(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9261 - 0.0539. Let y = n - -2.98000523. What is y rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 1 - 1)*(-7 - 6*o + 7 - 4*o + 2*o + o + (2 - 4 + 4)*(5*o - 8 + 8)).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j + 39*j + 13*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 4*d**2 - d - 7. Suppose 5*o + 3*h = -17 - 1, 0 = -4*o - 4*h - 16. Let w be m(o). Solve w*r + 5*y + 41 = 6, 5*r + 19 = -y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**2*r**3*v**3 - 2*d**2*r**3*v**2 + 4*d**2*r**2*v + d**2*r**2 - d**2*v - 49*d*r**3*v**2 + 221193*r**3*v**3 - 13*r**3 wrt v?\nAnswer: -48*d**2*r**3 + 1327158*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5201 = 3*r, 3*r + b - 8673 = -2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3345740 rounded to the nearest ten thousand?\nAnswer: -3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 10.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)\/((u*u**(-6))\/u))\/((u*u*u**(-1\/7)*u)\/(u*u**(-2))))\/((u*u**6\/u*u**(-5))\/(u**(1\/5)\/(u\/(u**1\/u)))) assuming u is positive.\nAnswer: u**(83\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 d when four letters picked without replacement from kyykddddkk.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26160030?\nAnswer: 2, 3, 5, 13, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 2*i**4 + 2*i**3 - 1 + i + 4. Let m(l) = -5*l**4 - 5*l**3 - 2*l - 5. Let n(p) = -5*a(p) - 3*m(p). Find the second derivative of n(f) wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7455613, -14911231, -22366849?\n\"Answer: -7455618*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 38390172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -76. Let n = 16.4 + 4.6. Let l = n - h. What is the closest to 0.1 in -3, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997972.1 centuries in decades?\nAnswer: 9979721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23197*p**5 - 13798*p?\nAnswer: 463940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a = -5. Let l be 2\/(-2)*1*-6. What is the units digit of (a - 0)\/((-1)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6576698, -13153395, -19730092, -26306789?\n\"Answer: -6576697*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 7*d + 16*d)*(d**2 - 12*d**2 + 15*d**4 - 16*d**4).\nAnswer: -2*d**5 - 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 + 56*u**2 + 272*u + 288 = 0.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 2219574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + z**3 + 11 + 4*z - 201*z**2 + 3*z**2 to the form w*z**2 + a*z + t + o*z**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 636610, 636621, 636646, 636691, 636762, 636865?\n\"Answer: f**3 + f**2 + f + 636607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*b, 24*b + 339 = 2*z + 7*b + 201 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -12 + (3 - 1) - (-11 + 88 + 9)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 709431780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -11\/6*k**3 - 16*k**2 + 1\/60*k**5 + 0*k**4 + 0 + 0*k. Let r be z(4). Solve 1 + 2 = m + i, -r*m + 5*i = 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z - 60 = -60*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011012 (base 3) in base 15?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29\/6 - -5. Let y = -23\/4 + 11. Let m = 221\/14 + -31\/2. Which is the biggest value? (a) y (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*w + 3 = 0, -w = 2*k - 1 + 10. Let j = 1 + k. Does 3 divide 2 + j + 5 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 + 208*d - 408 = 0?\nAnswer: 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 257.\nAnswer: 128.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/u*u)**(-5)\/(u**(-2\/3)*u)**(-39) assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6245610*y. Let w(m) = -2*m. Calculate w(g(v)).\nAnswer: 12491220*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0455751 rounded to 3 dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*8\/((-28)\/(-7))*1\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c + 3. Let u be (6 - 0)*(-4)\/c. Let l = 2.1 - 2. What is the closest to l in 5, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*7\/14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1942\nAnswer: -1937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.16 (c) -0.8 (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14706*f**2 - 7344*f**2 - 7360*f**2 + 503*f - 1113*f**6 wrt f?\nAnswer: -133560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132612442?\nAnswer: 2, 66306221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13898 rounded to three dps?\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 + 5 + (-20 - -24 - 6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 179030*s\/7 + 536964.\nAnswer: 2*(s - 89494)*(s - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 22*u = -9*u + 4206 + 344 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1616, 1613, 1608, 1601, 1592?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 + 7681189*g**3 + 43778716*g.\nAnswer: 36*g**2 + 46087134*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 8*p**2 + 3*p**2 + 4*p**2.\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. What is the closest to -0.1 in z, -3\/8, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(16\/7)*l*l*l\/(l**(2\/13)*l*l)*l*l*(l**(-3\/13))**(-2\/11) assuming l is positive.\nAnswer: l**(5179\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + -50. Suppose -50*n = -42*n + 824. Let m = g - n. What is the remainder when m is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 228*d**2 - 135*d - 686. What is the tens digit of c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 5\/777, -0.026?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (2 - 2) - -23. Suppose l = 5*u + 4*r, -4*u + 5*r = -u + 22. Let n be (3\/((-3)\/(-1)))\/(-4). Is u < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (2 + (-8)\/2). Let p = -315 - -315. What is the remainder when (91 - 1) + p\/r is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -16*r**2. Let y(m) be the first derivative of m**5\/60 - 19*m**2 - 31. Let z(k) be the second derivative of y(k). What is z(f(w))?\nAnswer: 256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d. Let k(v) be the second derivative of -5*v**3\/6 - 147*v. Give y(k(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - -8. Let k be 35 + (16\/(-12) - 7\/(-3)). Suppose -5*b + b - h + 72 = 0, 2*b - 4*h = k. What is the remainder when a is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2345 or 5?\nAnswer: -2345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 2*h + 765 = 0. Suppose 0 = -3*q + 5*m + 209 - 152, 0 = -2*q - 2*m + 6. Calculate the greatest common divisor of q and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 40 - 49 + 89.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(3 - 4) - 8. Sort 1, c, 2 in ascending order.\nAnswer: c, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-6)\/(-2) - -80. Differentiate 6 - w*v + 81*v + 3*v**2 wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/(0 + 1). What is the biggest value in -2\/7, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (492\/1189*29)\/(-5)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-4\/3)*l)*l)**(-1\/14)\/(l**(-2\/15)\/(l*l\/(l\/(l*l**19*l)*l))) assuming l is positive.\nAnswer: l**(629\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1515\/1792 + 3\/256. Is l at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:10 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/321 (b) 2319 (c) -5 (d) 2.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/6 - 2\/(-3). Let f(g) = -g**3 - 5*g**2 - 2*g - 6. Suppose b - 6 = 5*w - 3*w, -3*b + 30 = -3*w. Calculate the remainder when b is divided by f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**3 - 22*m**3 + 37*m**3 + 2*m**2.\nAnswer: -4*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8839702 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 d, and 1 r when three letters picked without replacement from {d: 1, x: 1, r: 1, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 6*i + 1. Let a(u) = -u**2 + u - 1. Let h(x) = -a(x) - w(x). What is h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6 and -5\/105609.\nAnswer: 211218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 13846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277958 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 141176 divided by 2521?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (4 + -2) - 1. What are the prime factors of (-158)\/t + 1\/(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702658 is divided by 588.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 + 6*i + 6. Let f be u(-4). Calculate the highest common divisor of f and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 1 (c) 29.745 (d) -18.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/115177334 and -41\/2?\nAnswer: 115177334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/19)*j*j*j**(-5))**(4\/5) assuming j is positive.\nAnswer: j**(-32\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + n**2)*(-5*n + 38*n - 5*n) - n**3 + n**3 + n**3 + (5 - 5 - n)*(-2*n**2 - 4 + 4) + 3*n**3 + 18*n**3 - 12*n**3.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 4)*(4 - 2 - 3)*(-2*o + 0 + 0)*(0*o**3 - 4*o**3 - 3*o**3).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/14*(-10 - -3). Calculate the common denominator of 8\/(-54)*(-345)\/8 and 14\/x*(-30)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1304 divide 9008032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 22*r**3\/3 + 55. Let m(s) = -3*s**2. Give m(u(t)).\nAnswer: -1452*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -5\/2*z**2 + 1\/12*z**4 - z**3 + 0 + 7*z. Give a(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6849 + 6849. Let m = -5 - -1. What is the nearest to 1\/3 in k, 4, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 1, v: 1, s: 2, y: 1, b: 1}. What is prob of picking 1 y, 1 r, and 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 3*q + 3, 135*q - 134*q - 9 = -5*a - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 6:45 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -7.8. What is the second smallest value in 0.2, u, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/(-190) - (-1)\/((-133)\/(-14)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.357332kg in milligrams?\nAnswer: 1357332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, 17, 43, 89, 161, 265, 407?\n\"Answer: n**3 + n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = 9. Let a be 32\/(-204)*(-6)\/j. Sort a, 0.5, -0.4 in ascending order.\nAnswer: -0.4, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 3277 (c) 1\/4 (d) 16198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x - 22. Let s be u(-5). Let q = 38 + s. Is (q\/(-4))\/(5\/(-60)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 654*n**4 + 2*n - 1 wrt n?\nAnswer: 7848*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -22\/49, 4, 1\/6, 2\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3722, 3720, 3716, 3710, 3702, 3692?\nAnswer: 3680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 2385985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -1 - (4 + (-8 - -6)) - 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184271441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*u - 36 - 684 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*w - w - 2*t - 5, -4*t = 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-476)\/14)\/(-7072)*24?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -10\/3*c**3 + 10*c + 0*c**2 - 6. Differentiate a(o) with respect to o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3528 = -5*q - 14441, 0 = 2*n - 2*q - 17984. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1533 + -1132. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/11916353 or 1?\nAnswer: -28\/11916353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + (-1 - -3) + (-67 - -63).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1233 or -1?\nAnswer: -2\/1233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 21 + 24 = 81 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = 29*z + 28 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 5*f**2 - 6*f + 9. Let l(j) = -8*j**3 + 2*j - 20. Let a(v) = -7*v**3 - v**2 + 3*v - 19. Let x(p) = 7*a(p) - 6*l(p). Give -7*d(c) - 5*x(c).\nAnswer: -2*c**3 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/112 and -13\/9.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 + 1 + 3. Let c = -95 + 105. Solve q - k*q = c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1983 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -407, -543, -713, -905, -1107?\nAnswer: -1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(65)*-2*-3)\/(sqrt(5) + sqrt(500)*-2 + sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 0 - (-19 + 7 - 67825) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - d + 2*d = -7, 3*x - 5*d - 14 = 0. Suppose -5*z - 15 + x = 4*n, -2*z - 16 = 3*n. Let t = 15 + n. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -10.84?\nAnswer: -8.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - ((-20 - (-20 + 1 - 16)) + (-4 - 8))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 0)*(-1)\/(-8). Do -4 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 + -93. Suppose 0 = 3*w - 18 - h. Suppose k + 15 + 5 = p, k = 2*p - w. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.40617*-0.35.\nAnswer: -8.1921595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 88.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*y - 4*y**5 - 8*y**2 + 4*y - 2 - y**5 + 12*y wrt y?\nAnswer: -100*y**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 + 11*d - 26. Suppose 3*r - 997*l + 38 = -995*l, 3*l = r + 29. What is v(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1704)\/(-1562) + (0 - -1)*-1\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 285.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100295881\/13428 + -67222\/9. Find the common denominator of 43\/2 and q.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20532 (base 6) to base 7\nAnswer: -11066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -122990 times -0.58?\nAnswer: 71334.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-160 - -164 - (-34 + 1)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z + 31*z - 14*z - 28097*z**2 - 1.\nAnswer: -28097*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x - x**3 - 3 + 5*x**3 + x**3 - 2*x**3. What is the units digit of i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 41*s - 1. Is j(6) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -35 - (-14 - -6) - (8 + -18)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002077211549 to 7 dps.\nAnswer: -0.0002077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(180) + (sqrt(180) - 2*sqrt(180)))*1)\/sqrt(10))\/(((sqrt(252)\/(sqrt(28)\/sqrt(4)) - sqrt(36)) + sqrt(36))\/sqrt(4)))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:51 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/27 and -61\/51.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -3 (c) 7 (d) 2\/6007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -760 or -173.52?\nAnswer: -760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503619 + 503621. Let h be -1*(0 - 0)\/(-1). Suppose 0 = v + b + 1, -3*v + 8*v + 3*b + 3 = h. Solve v = -w + 2 + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10*2\/(-8)*16.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-three quarters of a tonne?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/31399 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 24*t**2 - 117*t + 30. Calculate the remainder when f(7) is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -63*r - 7*r + 207 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e00 (base 16) in base 9?\nAnswer: 11473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*n*n\/(n**(2\/7)*n)*n*n)\/n)))**22*n**(8\/7)\/(n\/(n\/(n\/(n*n**(-13))))))**(-48) assuming n is positive.\nAnswer: n**(-16080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9 = -11. Let n(l) = 10*l - l**2 + 10 - f - 3*l. Let s be n(7). Which is smaller: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 - -138. Suppose -k = u*k - 14*k. Solve -4 = l - k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1573\/18 + 79. Let z = 52303 + -3765905\/72. Find the common denominator of z and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49949*13.\nAnswer: -649337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55458 - -23730. Let v be 21170\/k + (-28)\/(-42). Let i = v + 187757\/58168. Find the common denominator of 17\/12 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -335049, -335041, -335033, -335025, -335017, -335009?\n\"Answer: 8*s - 335057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49540 is divided by 1981.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 29 = 85 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -5 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(162) + -2))**2 + -5.\nAnswer: -576*sqrt(2) + 2651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -349 less than -276\/1283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539521014*i**4 - 1559355*i - 291 wrt i?\nAnswer: 6474252168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/28 and (2952\/(-154))\/4 - 132\/(-33).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -123623 greater than or equal to -123606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 372?\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8478 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnbf when four letters picked without replacement from annfffffnbfbbf.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.17695.\nAnswer: 0.017695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 15*c**3 + 0*c**2.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r - 3*r - 8*r)*(3*r**2 - r**2 + 0*r**2) - 7*r**3 - 14*r**2 + 14*r**2.\nAnswer: -49*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23126895, 23126973, 23127065, 23127177, 23127315, 23127485, 23127693?\n\"Answer: t**3 + t**2 + 68*t + 23126825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1099 in 0.3, -5, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/176663 and -19\/3822.\nAnswer: 675205986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/((-5220)\/377) + 402\/(-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13) + 11296\/(-416) + (-37 + -89)\/21.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -30 times 15.992\nAnswer: -479.76","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 0*x + 4*x + 6*x. Let b(j) = j**3 - 9*j. Let l(y) = 4*b(y) + 5*k(y). Find the second derivative of l(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47660246 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-220 + 139*d + 44*d - 278 - 340 + 648) in the form b + x*d and give b.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 247, 902, 2337, 4948, 9131?\n\"Answer: 66*h**3 - 6*h**2 + 211*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0075709971 to 6 decimal places.\nAnswer: 0.007571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:52 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1185474061 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3458255, 3458168, 3458081, 3457994?\nAnswer: 3457907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10))\/(322\/230). What is the third smallest value in p, 0.4, -29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*-1 + 5*(sqrt(21) + sqrt(336) + sqrt(21)))\/(-2*sqrt(42)\/sqrt(54)))**2.\nAnswer: 19683\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 151632 and -28682?\nAnswer: 180314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -10 - 0) + -1 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6 + 4 + 3 - 2 - 110*y. Let c be ((-6)\/(-10)*2)\/((-18)\/60). Is n(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 57*a**5 - 35*a**5 + (1770*a**3 + 70*a**4 - 1770*a**3)*(1 - 1 - 2*a).\nAnswer: -118*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -124*i**2 + i + 2968. Let h(x) = 3*x. Give z(h(g)).\nAnswer: -744*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkbbbkkkkbkkkkkkkk.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1672, -1663, -1654, -1645, -1636?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 9)*(2*w**2 - 2*w**2 + 2*w**2).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfsssfffsffsf. What is prob of picking 4 s?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*10\/(-15)*(-15)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -799? (a) 18 (b) 1\/117 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 9*k**2 - k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -54296\/7 and -7758 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/80*4*0. Let a = 5.86 - 11.86. Put -1\/9, q, a in decreasing order.\nAnswer: q, -1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 0 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -7 + (-12 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 793 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/((-6)\/(-4)))\/(-2). Let g = p + 4. Let b(s) = s. Let d be b(0). Solve -3*u - g = -d*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7281 + 0.5719. Which is smaller: 480 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 27*b**5 + 1857*b**4 - 14049*b**3 - 108345*b**2 + 24750*b = 0.\nAnswer: -75, -5, 0, 2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 + q - 2. Suppose 3*o + 0 - 14 = -5*d, 5*d - 24 = 2*o. Suppose -83 = d*x - 87. Let g(z) = -z**2 - z. Give x*g(l) + w(l).\nAnswer: -6*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from {g: 3, q: 11}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 17. Suppose -j*n + 4 = -9*n. Put n, 5, 2 in decreasing order.\nAnswer: 5, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 8*f**2 - 9*f - 1. Let j be h(9). Let t(x) = -946 - 3*x**2 + 946 - 3*x**2. What is t(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -499*w + 503*w - 16. Let z(s) be the second derivative of 0*s**2 - s**3 + 6*s - 7\/12*s**w - 1\/20*s**5 + 0. What is z(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208 = 6*l - 4502. What is l rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v**4 - 2*v**2 - 5*v - 2. Let u(s) = 20*s**4 + 5*s**2 + 11*s + 5. Let w(i) = -5*p(i) - 2*u(i). Find the second derivative of w(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -50*a + 149. What is g(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1474 (c) 1\/2 (d) 0 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 80*l + 415. Give q(6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -493*p + 4463. Calculate g(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*y**2 - 8*c**3*y + c**3 + 3*c*y**2 + 3*c*y - 3*c wrt c.\nAnswer: 18*c*y**2 - 48*c*y + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22203321 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (980\/364)\/(32\/416).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(3)*-6)**2 + 5 + 4.\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*g + 136. Let u(r) = r**2 + 12*r + 32. Let j be u(g). Let h = -116 + j. Calculate the remainder when h is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -308*o + 307*o - 2*g + 6, 0 = 4*o + 4*g - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-11)\/((-44)\/40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 1770.\nAnswer: 1770.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226768 divided by -56692.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 12 = 2*r, 2*i - 3*r + 21 = 0. Let n(b) = b + 3. Let y(h) = 4*h + 11. Let t(s) = -9*n(s) + 2*y(s). Determine t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 16 (b) -0.03 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9209*q**3*t + 11*q**3 - 2418*t - 7 wrt q?\nAnswer: 27627*q**2*t + 33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306908580 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/66*(-66)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -8. Suppose -i*m = -31 - 253. Suppose -37 = -3*r + 2*r + 5*h, 5*h = 3*r - m. Solve 5*w - r = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m**4 + 2*m)*(-15 - 14 - 1).\nAnswer: -60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -31) + (1 - -1) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1737 + -1906.1. Let m = g + 160. What is m rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, 50, 4 in ascending order.\nAnswer: -196, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 83263324 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.57116 litres to millilitres.\nAnswer: 38571.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.2 and 0.0731448.\nAnswer: -6.1268552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 + -78. Let u be 26\/168 + 2\/(-8). Which is the closest to 1? (a) w (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 - -31)*(-2)\/3. Sort 1, 3, 2, j.\nAnswer: j, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 17. Let z = 83\/5 + -669\/40. Let x = -5\/168 - z. Which is the nearest to -0.1? (a) h (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, 0.4, -5, -204393?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 691779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/7 + 7030\/(-665). Let v = 0.8 - 1. Is x at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -125, -77, 151, 559, 1147?\n\"Answer: 90*b**2 - 222*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r, 4*r - 2*r = 3*t - 6. Suppose -t*q = -0*q - 8. Which is the third biggest value? (a) 3\/7 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + ((-35)\/2)\/(-5))*-4. What is the common denominator of (75\/d)\/(10 + (-12 - -5)) and -11\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let t be 5 + 2\/(2\/(-1)). Let z(p) = p**3 - 8*p**2 - 5*p - 6. Let v(l) = t*d(l) - z(l). Is 7 a factor of v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5005\/2574 + (-4)\/(-72)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 - 247. What is the second derivative of 116*a - 3 - 168*a - 80*a**m - a**3 - 1 + 1 wrt a?\nAnswer: -6*a - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 40*m - 32. Determine t(11).\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2038*j - 2047*j + 18 = 0. Solve -n = 1, -5*o - j*n - 2 - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -542 (base 8) to base 12\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and 121?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 442 and 156.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 5\/4*z**4 - 162*z - 2\/3*z**3 - 3\/10*z**5 + 0*z**2 + 0. What is the second derivative of y(i) wrt i?\nAnswer: -36*i + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z = 0. Suppose z = -2*u + 4*u - 6. Solve -o - 5*h + 25 = 0, -7 = -h - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(21)\/sqrt(3) + 6*sqrt(112))**2.\nAnswer: 5488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/20 - a**4\/2 + a**3\/2 + 13*a**2\/2 + 5*a. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/270 and 41\/1110?\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/4 + 859*h**3\/4 + 186605*h**2\/4 + 916769*h\/4 + 546987\/2 = 0.\nAnswer: -427, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 152*v**2 + 59*v - 30. Calculate c(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2014add?\nAnswer: 2014ada","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g + 344 = 25*g. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 0.5. Let d = u + 0.7. Let r = 3.2 + -3. Which is the second biggest value? (a) d (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35842 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(272)*2 + 5 + 1)**2 + (4*sqrt(204))\/((sqrt(27)\/sqrt(3))\/sqrt(3)).\nAnswer: -4496 - 376*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13392 = -187*o + 171*o. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:54 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 + -2.3. What is the third biggest value in -3, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7004505+-0.82\nAnswer: -7004505.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1.3. Let h = 7.69 + 0.31. Let x = h - 5. Which is the nearest to -0.2? (a) z (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -51, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*y - 243 - 3 = -2*r - 93 + 523, -2*r = -5*y - 25 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 0.2, 0.5, -8\/5, -15\/86, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -350?\nAnswer: -1400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2732 or 2733?\nAnswer: 2732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(393\/(-26724))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*z + 24203 = -5424 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/23)\/(m*m*m**(-5\/2)\/m*m*m*m)*(m*m**5)\/m*m**4*m*m assuming m is positive.\nAnswer: m**(431\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -21*y**2 - 2405*y + 261. Calculate the remainder when i(-114) is divided by 50.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**3 - 7*m**2 + 2*m + 7. Let x(p) = -p**3 + 2*p**2 - p + 3. Give -l(r) - 4*x(r).\nAnswer: -4*r**3 - r**2 + 2*r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235808 and 976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/5 - 45524*w**2\/5 - 244118912*w\/5 + 34472696832 = 0 for w.\nAnswer: -11696, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*w = w + 40, 2*w - 24 = -3*a. Suppose 7 = -a*t + 111. Let q be 2\/4 + 5\/2. Solve n + 3*n + 19 = g, t = 2*g - q*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105815, 211851, 317889, 423929, 529971?\nAnswer: 636015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -30*b - 5. Let y be n(-2). Let x = y - -41. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(3*n**5 + 0*n**2 + 0*n**2) - 3*n**3 + 2*n**5 + 3*n**3 - n**5 - 2*n**5 + n**5 + (-2*n**4 - 10*n**4 + 3*n**4)*(-3*n + 3*n - 2*n).\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -76*i**4\/3 - 154*i**3 - 18*i**2 + 10*i - 16. Factor a(m).\nAnswer: -4*(m + 3)*(76*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 195323461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 1. Let l(u) = -13*u - 3. Let m(t) = -7*a(t) + 3*l(t). Suppose 0 = 15*r - 610 + 565. Give m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from vvlxtxvlxvltt.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -75\/56*z**8 - 29\/4*z**4 + 3*z - 2 + 0*z**7 + 0*z**2 + 0*z**5 + 0*z**6 + 0*z**3. Find the third derivative of f(b) wrt b.\nAnswer: -9000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**3\/3 - 5*r**2\/2 + 7*r - 10. Let i be u(-6). Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (5 + -10 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-29 + 20 - -10).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87139687?\nAnswer: 1487, 58601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4c (base 15) to base 8\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 - 5*l - 2. Let r = 18 - 11. Let x be c(r). What is the remainder when 232\/x*(1 - -2) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*v - 195*v + 88*v + 110 = 0. Let f = -4.4 - -4. Which is the nearest to 6? (a) f (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) 0.5 (b) -36.3 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36831?\nAnswer: 3, 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1423*o + 1. Let q(c) = -5*c + 30. Let n(l) = -13*l + 75. Let i(m) = -2*n(m) + 5*q(m). Determine t(i(r)).\nAnswer: 1423*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*w - 49*w + 91. Which is the third smallest value? (a) 0.07 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, 74, 106, 3 in increasing order.\nAnswer: -11, 0, 3, 74, 106","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 39328 greater than 158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 0*y - 15*y + 11*y + 3*y. Let b(g) = 7*g**2. Calculate i(b(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bb4 (base 14) to base 16.\nAnswer: 33ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29976 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 + 7*f - 68. Give p(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 57. Suppose 2*w + g*w = -0*w. Solve w*y = -3*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 2 + -27*12\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -390, -1606, -3610, -6384, -9910, -14170?\n\"Answer: 3*d**3 - 412*d**2 - d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -0.4, -0.2, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5229 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b - 2*b - 2*k, -2*b + 5*k + 21 = 0. Suppose -3*s + 3 + 0 = 0. What is the greatest common factor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 - -161. Let v = s - -28. Sort v, 5, -4, -6 in decreasing order.\nAnswer: 5, v, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - -134. What is the least common multiple of 20 and t?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 3:59 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 13. Calculate the least common multiple of 18 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 + (-36)\/(-4). Let b(j) = -j**3 + 10*j**2 - 12*j + 12. Let v be b(y). Let z = 25 + v. Calculate the least common multiple of 22 and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(21)\/sqrt(3) + sqrt(7) + -1 + -4)*-3)**2 + (sqrt(7) + sqrt(56)\/sqrt(392) - (-4 + 4*sqrt(7))).\nAnswer: -3170*sqrt(7)\/7 + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -477 + 493. What is the remainder when 329 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 13*a**2 - 32*a - 32. Let t(y) = -2*y**2 + y + 1. Let v(o) = 5*t(o) + z(o). Let v(k) = 0. What is k?\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*z - 324 = 184*z + 626*z - 2162 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*2\/16)\/(3\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = 3*m. Let k be ((m\/2)\/1)\/1. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(130)*-1)\/((sqrt(110) + sqrt(110)*-3)\/sqrt(11)) - (sqrt(26)\/sqrt(2)*-3*-1 - (sqrt(117) + 5*(sqrt(117) + sqrt(117)*-1))\/sqrt(9)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101 divided by 3859?\nAnswer: 12101\/3859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/115 - 103\/230. What is the nearest to -5\/6 in a, 2\/13, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 110221220000110?\nAnswer: 110221220000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 852269149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - y**4 + y**4)*(-6 + 2 + 3)*(0 + y - 2 + 1) + (2*y**3 + 0*y**3 + 0*y**3)*(93 + 52*y**2 - 93).\nAnswer: 105*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 0*v**2 + 0*v**2 + (1 - 1 + v)*(4*v - v - 4*v) + 2*v + 28*v**2 - 19*v**2 + 3 - 12*v**2.\nAnswer: -5*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363591.3 grams to milligrams.\nAnswer: 363591300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1766 a factor of 20531516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/a**0)\/(a\/(a*a**2)*a**(-3)))**(7\/8) assuming a is positive.\nAnswer: a**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100302927.\nAnswer: 3, 83, 402823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**4 - 5*x**3 + 8*x**2 + 11. Let k(m) = m**4 + 2*m**3 - 3*m**2 - 4. Let d(b) = 11*k(b) + 4*s(b). Factor d(l).\nAnswer: -l**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 4*q**3 - 3*q**3 - q - q**3 + q + (2*q**2 - 2*q**2 + 3*q**2)*(-2*q + 2*q - q) + 5*q**3 - 10 + 10.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (665*x - 108*x + 178*x)*(0 + 2 + 1).\nAnswer: 2205*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115154202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r - c + 5 = 0, c + 11 = 5*r. Suppose 0 = 5*b - 5*o - 20, 3*b = 2*b + 4*o - 11. Factor -4*w + b*w**3 - 5*w + 6 - 6*w**4 + 3*w**4 - 3*w**r.\nAnswer: -3*(w - 2)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 1056. Let j = -114 + w. Suppose -4*b + 56 = -2*x + j, -8 = 4*b. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 43119713922.\nAnswer: 43119713922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5362938 and 6865.\nAnswer: 26814690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-56))\/(470\/940).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b**5 - 639*b**4 + 34638*b**3 - 45300*b**2 + 15000*b = 0. Calculate b.\nAnswer: -50, 0, 2\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27 < 0.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1310 (base 4) to base 14\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from eegugtgtgjegtg?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {q: 5, z: 3, y: 3, i: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 79?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 276896736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(72) + sqrt(72) + sqrt(72)*-3)\/sqrt(8))\/((sqrt(108) - sqrt(3))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1053 and 819?\nAnswer: 7371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*s + 282992 - 287852 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 19\/(-8)) + -3 + 3. Is l at least -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4\/2 + u**3 - u**2\/2 - 7*u + 4. What is the remainder when s(3) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 13.\nAnswer: -87\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11 - 16 = 0. Let o(f) = -4*f - 2. Let s(y) = y. Determine v*s(h) - o(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791551 at least as big as 8791551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7. Let u = 1979.8 - 1980. What is the nearest to a in u, 17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33083414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99100 and 128830?\nAnswer: 1288300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 9*u + 81, -5*u + 0*u + 382 - 369 = y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2255\/4 + 561. Calculate the common denominator of f and -79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89696731 and -4.\nAnswer: 358786924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*x - 435*x - 4*i - 14789 = 0, -2*x + i = -29592. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d + d**2 - 34 + 3*d + d)*(-6*d + 3*d + 2*d) to the form c + n*d**3 + m*d + s*d**2 and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 896 + -893. Suppose 0 = 3*x + 3*x. Solve x*v - 4*r = o*v + 1, 2*r = 4*v - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198 or 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-33 + 4\/4 + -4). Let w be a\/12 + (-11)\/66. Solve -3*d = -w - 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 958 divided by 438\nAnswer: 479\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55646303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2691\/(-460) + (-1 - (25 - 32)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -2*c, 4*c = -4*l - 0 + 8. Let u be 98*(-1)\/l*-2. What is the greatest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.96 + 57. Let x = 0.04 - m. Let y be 1\/3*(-6)\/7. What is the nearest to y in -4, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*t - 25, 3*n - t - 2*t - 24 = 0. Suppose 7*g - 15 + 1 = 0. Let b be -1*(g + -2)\/1. Solve -2*q + n*i - 10 = 7, b = 5*i - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -542 + 268 + 274 + 263*u in the form m*u + j and give m.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -55. Let w = l - -48. Let o = 4 - 3. What is the greatest common factor of o and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*l + 70. Calculate the remainder when 63 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**6\/240 + g**5\/24 - 7*g**4\/48 + g**3\/4 - 3*g**2\/2 - 2*g + 115. Let p(c) be the second derivative of i(c). Factor p(j).\nAnswer: -(j - 3)*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -1.33\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5371 + 5371 + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 0*l. Let o be (-1 - 2) + l + -4. Let q(s) = -s**3 - 7*s**2 - s - 3. Determine q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -991\/7. Sort 0.3, m, 49 in increasing order.\nAnswer: 0.3, m, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 28377.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 38. Suppose 3*w = t - 660, s*w - 3788 = -5*t - 524. Round t to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2462900 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Let o = -4\/843 + -2109\/9554. Let x = o - -1\/17. What is the second smallest value in b, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + 0.05. Let q = c + 0.2. Which is smaller: -1\/4 or q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, q: 1}. Give prob of sequence qs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 24*b - 92 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/28 and -3*-4*((-21)\/(-24) - -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 19. Let d be ((-1512)\/15)\/((-3)\/15). Suppose w + 2*w - d = 0. Calculate the greatest common factor of m and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 2. Let v be -3 - (-3 - (2 + -2)). Let u be z(v). Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 - y + 1. Let v(g) = -g**4 - 3*g**3 - g**2 + 3*g - 3. Let k(w) = v(w) + 3*z(w). What is the third derivative of k(p) wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (3 + 3 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4572 (b) 6 (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 812 divide 362817562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6324b4b (base 12) to base 5\nAnswer: -14242244202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.9 rounded to 0 dps?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68756.632 rounded to the nearest one thousand?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-45 - 15)*(-6)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69993256 is divided by 34996624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46270 and 18410.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 105.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 19*b**2 - 15*b - 49. Let c(w) = -22*w**2 + 15*w + 50. Let j(s) = -6*c(s) - 7*q(s). Determine j(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.06 (b) -0.2 (c) -2.5 (d) 0.5 (e) 69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13786*m**2 + 5447?\nAnswer: -27572*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - 2*n**2 - 2*n + n**2 + 2*n + (1 - 1 + n)*(n - n - 2*n) + 19*n**2 + 6 - 9*n**2 - 9*n**2.\nAnswer: -2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 797771 less than 797772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*y - 31912 - 323498. List the prime factors of y.\nAnswer: 2, 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 32 = -1. Calculate the remainder when (-27)\/m*(-6 - -3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - (10 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 + 8. Let x(h) = 3*h**2 - 5. Let o(i) = -5*d(i) - 8*x(i). Let m = 90 - 85. Let z(p) = 5*p - 2*p - m*p. What is o(z(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-24)\/27)\/((-324)\/729)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*u + 16*u - 37*u + (0 + 0 + 1)*(2 - 2 + 8*u) - u + u + u.\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 8, 2.77, -3, 2\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/276*-7*(-16)\/(-616)*22\/(-6).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 3050765*t - 63 + 3050767*t.\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -191*q - 97. Let o be l(-20). Let w = 9570 - o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 2*s - 15*s + 1 - 8*s.\nAnswer: -24*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -11641487?\nAnswer: -11641485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 59*z + 837. Calculate a(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -8 - -36) + -12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 541 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1881 + -32184?\nAnswer: -34175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4214984 meters in millimeters?\nAnswer: 421.4984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 106160\/7 (b) -4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00093 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -40 + (-23 + 7 + -3 - (-45 - -34))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1\/2*q**3 + 9\/2*q + 0 + 3\/2*q**4 - 27\/2*q**2 = 0.\nAnswer: -3, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 3*l - 32. Let w be i(15). Let f = -93 + w. Suppose -5*d + f = -25. Calculate the remainder when 21 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:22 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297943994?\nAnswer: 2, 199, 748603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*a = -1 + 4, -2 = a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k + 10 - 6 - 4. Let v(l) = -4*l - 1. Let d be v(-1). Let h(i) = 2*i**2 - 8. Let z(p) = p**2 - 3. Let x(o) = d*h(o) - 8*z(o). Calculate x(g(s)).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 9*b)*((-13 + 13 + b)*(2*b - b - 3*b) - 4*b + 4*b + 7*b**2).\nAnswer: -45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - (-116)\/(-12). Let c be (-86039)\/(-6)*(-5)\/i. Let t = c - 7165. What is the common denominator of t and 151\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(180))\/(2*sqrt(810)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.929 - -0.071. Let j = z + -25. Let k = j - 30.9999999. Round k to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.03232*-189.\nAnswer: -2085.10848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1343688.\nAnswer: 1\/671844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(275) + -1)**2 - ((0 + sqrt(275))*4*-1)**2) + 0.\nAnswer: -4120 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -31.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1513468, -1513463, -1513456, -1513447, -1513436, -1513423, -1513408?\nAnswer: -1513391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(6\/4 - -1). Let m = c - -8. Solve m*y = 4*d + 15, -5*d = -0*y + 3*y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -122, -123?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 310.\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*r - 2352*r + 72996 - 28206 = 0 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -226*t**2 - 111211*t - 9344. Determine n(-492).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*g - 710*g - 166*g - 21457*g**2 + 21461*g**2 in the form m*g + y*g**2 + n and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)\/(b**6*b))**(11\/7)\/(((b*b**(-2))\/b**(-1\/3))\/(b*b**(-2)*b**0)) assuming b is positive.\nAnswer: b**(-139\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from eyeaaaaeeaa?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17886 + -18027.77. Let d = -142.136 + 0.136. Let k = f - d. Which is the second smallest value? (a) k (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65227540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/340 - -223\/10880. Let c = i + 229\/1152. What is the nearest to -0.2 in c, 5, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - 177*a - 137*a + 456*a - 142*a + 1658 in the form m*a + z + l*a**2 and give z.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b - 369. Let c(j) = 38*j + 1840. Give -3*c(f) - 14*z(f).\nAnswer: -2*f - 354","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3767755*j**3 + 3771651*j**3 - 7539403*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -8*n**7\/147 + 2*n**6\/15 + 22*n**5\/35 - 19*n**4\/21 - 4*n**3\/7 + 10*n + 273. Let b(a) = 0. Calculate a.\nAnswer: -2, -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q + 0*q**2 + 4 + 0*q + 3*q**2 - q**2. Is c(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 209*c - 2162. Calculate x(93).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158 + -43. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6)*6\/51*17.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38169014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 6. Let f be z(0). Let b(p) = p**2 - 9*p - 12. Let n be b(10). Calculate the remainder when (-147)\/f + (-1)\/n is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 7*x - 74*x**4 + 65*x**4 + x**3 to s*x + g*x**3 + q + h*x**4 + f*x**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -47*c**2 + 10*c - 7. Let l be t(-3). Let h be (-345)\/10*l\/15. Suppose 0 = -13*k + 10551 + h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 8, a: 3, y: 5, z: 1}. Give prob of sequence ua.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + 0*r)*(3*r - 2*r - 3*r)*(-5*r**2 - 8*r**3 - 4*r**3 + 6*r**2).\nAnswer: 24*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*b - 39. Suppose 3 - b = -2*n. Let s be 1\/(-2*(-2)\/68). Solve n*v + 3 + s = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 1407, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312430.\nAnswer: 2, 5, 157, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 33*h**2 + 6*h - 6. Let y(q) = q**2 - 1. What is -v(i) + 6*y(i)?\nAnswer: -2*i**3 - 27*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*k + 2*j + 27, -4*k + 4*j + 36 = 0. Solve -3*m = k*m + 64 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 1, c: 1, q: 7, p: 6, x: 2}. What is prob of picking 1 c and 1 u?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r = 2*d - 51, 0 = -4*d + 5*r + 127. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414 = 148*g + 3950 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-5))\/5*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:38 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(2*l**2 + 1 - 1) + (0*l + 6*l - 4*l)*(3*l + 6*l - 5*l) to the form a*l + h*l**2 + j and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 90 = 102 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + f**3 + 1815*f**2 - 1 - 1897*f**2 to g*f**2 + w*f + l + n*f**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -4, 329 in descending order.\nAnswer: 329, 0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 + 54 + 68)*(4*y**3 + 7*y**3 - 4*y**3).\nAnswer: 301*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 4 + 1\/24*u**4 + 0*u + 1\/3*u**2 + 2\/9*u**3. Suppose t(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816166 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*h - 3*q, 5*q = 5*h + 8*q - 0*q - 70 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - -1*sqrt(114))*4 + sqrt(114) + 2*sqrt(114)*6)\/(4*(-2*sqrt(150) + sqrt(150))))**2.\nAnswer: 8379\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/28 - (1 - 1). Solve c = -2*y + 4*z + 6, 2*y - z - 9 = -0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228598 times -3\nAnswer: -685794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842372 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39\/5, 2569, -0.1?\nAnswer: 2569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-62)\/(-20) - 3). Suppose 4*v - r = -12. Let g be -2*(3\/(-12))\/((-3)\/v). Put g, -0.1, 1 in decreasing order.\nAnswer: 1, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 5. Let o be -12*(32\/3)\/(-4). Let x be 28\/o*-2*-4. Let c(i) = 29*i - 15. Let k(v) = -7*v + 4. Let f(q) = 2*c(q) + 9*k(q). Give x*y(n) + 6*f(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 - -121. What is the remainder when 71 is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -149?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**5\/z*z**7*(z*z*z\/(z\/(z**(-2\/9)*z)))**21 assuming z is positive.\nAnswer: z**(211\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 28*k**2 + 302*k - 641. Determine z(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 416 and 64?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1872))*-4 + sqrt(1872)*2*-4 - (sqrt(91)\/sqrt(7) + -4 + -3)*2)*4)**2.\nAnswer: -28032*sqrt(13) + 4434304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18949 - 4032 - 2366 = -1207*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79.909 - -0.091. Let b = 508.2 + -428.3. Let q = b - a. What is the nearest to q in -9\/5, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 85\/51*3\/1 - (-25 + -50). Solve -94 + h = 2*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m. Let g(b) = b**2 + 2*b + 3. Let d be g(m). Suppose -15 = d*j - 8*j, 2*j - 294 = -4*t. Calculate the greatest common factor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r - 3. Let p(n) = 94*n**2. What is p(z(j))?\nAnswer: 7614*j**2 + 5076*j + 846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -214 in decreasing order.\nAnswer: 0.5, 0.3, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 7:07 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.264 + 361.736. Let b = -361.999962 + i. Round b to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-44)\/(-9) - 5). Let z(q) = q**2 - 2*q + 39. Is 46 a factor of z(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 2. Let v be y(-16). Let g = v + 36. Calculate the greatest common factor of 24 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 81*z + 929. What is d(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/37)\/((-21)\/(-182)). Let j = 4591\/370 + t. Find the common denominator of 609\/(-56) - (-2)\/(-8) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 728 + -727. What is the closest to 0.215 in 3, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2939 divided by -40714\nAnswer: 2939\/40714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -109. Calculate the greatest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3 - 1182*w**2 - 63840*w - 882784 = 0?\nAnswer: -1126, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9144055*g**5 - 7085402*g + 1.\nAnswer: 182881100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (0 + 24 - 27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2439)\/(-5962))\/(18\/(-30)*-5)\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/30 + 11*y**4\/24 - 5*y**3\/6 - 16*y**2. Let n be i(-6). Is 645 + -17 + 3*n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 10. Calculate the smallest common multiple of 5 and (-39)\/26 - l\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 1\/9*o**4 + 0 - 162*o + 40\/9*o**3 - 14*o**2. Solve d(r) = 0 for r.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-188)\/(-4) + 3)\/(-2). Let l be (1 - -24)\/(-5) - i. Solve -18*h = -l*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 252 = -4*o - 262, -3*l + 9 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 + 2*i**2 + 2*i + 2. Let z be 6\/(1\/3 + 0). Let d = -1336 - -1340. Let y(v) = -13*v**3 - 9*v**2 - 9*v - 9. Calculate d*y(a) + z*c(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxrxxrxxggx. Give prob of sequence gg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328589 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1001932451\/2124 - 1415159\/3. What is the common denominator of b and -17\/84?\nAnswer: 14868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392491, -392492, -392493?\nAnswer: -392494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21103302 (base 6) to base 3\nAnswer: -1011020201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 12*o - 8. Let i be s(-11). Let k be 3\/(12\/(-8)) + 5. Calculate the greatest common divisor of i and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/11))**(24\/7)*(i*i**(-7))**(-2\/129))**(-2\/13) assuming i is positive.\nAnswer: i**(-27448\/43043)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 3*w + 3. Let r be c(2). Let l be -10*(-2)\/4*r. Find the second derivative of -2*b - b**l + 3*b**5 - b wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + -3237880210.83\nAnswer: -3237880210.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(432)\/sqrt(4) - sqrt(12)))\/(sqrt(98)*-1 + sqrt(98) + sqrt(98) + -1*sqrt(2)*3 + sqrt(2)))**2*-5.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -6, -21 in descending order.\nAnswer: -3, -6, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*u - 44 + 7 - 137. Let i = -15 - -15.4. What is the biggest value in i, -1\/10, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, w: 4}. What is prob of picking 3 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, a: 5}. Give prob of sequence pap.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 209*n + 46786. What is o(-225)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -14.\nAnswer: 41\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5030050 (base 6) to base 14\nAnswer: -6262a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 8*i + 576 = 0. Suppose -3*p = 9, 3*u + 31*p - i = 28*p. Calculate the remainder when 456 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + k**5 + 4*k**5 + (-4*k + 4*k + 6*k**2)*(0*k**3 + 0*k**3 + k**3).\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v)\/v)\/v*v*v*v**(-10) assuming v is positive.\nAnswer: v**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {v: 1, d: 1, s: 1, r: 2, q: 1, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34688.999971482 - -34689. Round d to 7 dps.\nAnswer: 0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 97.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -49*c + 87. Calculate t(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 20 = -0. Let w(t) = 6*t**2 - 8*t - 3. Let a be w(c). Solve -2*d + 7*d = a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201601532?\nAnswer: 2, 11, 23, 199211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(0*y - y - 3*y) - 3*y + 12*y + 15*y to the form p + m*y and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-4 - -19) - 13 - -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484, -1212, -2428, -4132, -6324?\nAnswer: -9004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3 = 3*v + 17, -3*h = -2*v - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**2 - n - 1. Determine c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/37, 0.1, -3, -0.3, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/12 - 42\/(-4). Let s be 175\/21 - (-2)\/3. Suppose -w*c = -s*c - 58. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12584 and 11440?\nAnswer: 125840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 - 321*u**2 + 324*u = 0.\nAnswer: -108, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274261224.\nAnswer: 2, 3, 43, 265757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtgj when four letters picked without replacement from {e: 3, j: 4, t: 9, g: 1, s: 2}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a**2 - 11*a - 5. Let c be h(-4). Let p be (-5)\/15 - 48\/c. Suppose -4*f + 3 = -p. Solve f*b + b = 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -731 - -734. What is the third biggest value in 0.6, 1, f, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.098099 rounded to three decimal places?\nAnswer: -4.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4186311 and 678.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 6 + (-7 - 5) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/33951 and 83\/113170.\nAnswer: 339510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1765403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 306, 467, 654, 867, 1106, 1371?\n\"Answer: 13*f**2 + 122*f + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*p - 344, 4*p = 5*r + 36 - 475. Suppose -21 = 5*t - r. Suppose 2*x = 46 - t. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060 - 873 = -17*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose -2*r = -5*c + 6, r + 3*r - c - 24 = h. Let d be (0 - (-1 + -1)) + -1. Calculate the highest common divisor of d and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7655 + -66?\nAnswer: -7710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*u + 25 = -3*d, -5*d - 5 = u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 2. Let b be q(-6). What are the prime factors of (-6)\/b + 566\/8?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:35 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) -2\/29 (c) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195320 divided by 261.\nAnswer: 195320\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z + 1040230. Suppose z + 39349 = 15*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -141 (b) 1\/3 (c) 1037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 226629326 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - p**2 - 66*p + 6 - p**3 - 47*p - 65*p + 156*p. Give z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.052 - 12.152. Let r = -12 - c. Let n = 180 + -178. What is the third biggest value in r, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005588 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -101*l**3 - 2*l**2 - 2*l + 8. Let z(n) = -102*n**3 - n**2 - 2*n + 6. Determine -3*w(g) + 4*z(g).\nAnswer: -105*g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3242203006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(20\/(-12)))\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 15, -4 = -5*s + 3*i - 0. Let o be (s + 1)\/((-3)\/3). Does 18 divide (-7 - (-3 - o))*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 51327298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -120104202 (base 5) in base 14?\nAnswer: -1048d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/34)\/((-295)\/(-236)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*g + 22, 0*g + 4*g + m = 21. Suppose g*u - 451 = -i, -4*u - 2*i + 7*i = -355. Is u a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 5*y - 20, -20*s + 21*s = -2*y - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15 + 0*i**2 + 20 + i**2 wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6242387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-56))\/(9\/14)*(-109)\/(35752\/10578).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -111. Let d be 11\/(308\/(-48)) - (t + 1). Let -2\/7*p**3 + 2\/7*p + 2\/7*p**2 - d*p**4 + 0 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - 5\/(-3). Suppose -z*m + 44 = 2*m. Let h(q) = -q**3 + 10*q**2 + 15*q. What are the prime factors of h(m)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147238 is divided by 48982?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 b, and 1 e when four letters picked without replacement from ffmbfmammbe?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2183 and 1008251?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13753, 13687, 13617, 13543, 13465, 13383?\n\"Answer: -2*d**2 - 60*d + 13815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 7810781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a210b (base 14) in base 16?\nAnswer: aa145f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 773 - z**2 + 46 + 504 + 72 - 35 in the form u*z**2 + i + q*z and give i.\nAnswer: 1360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*z - 406 + 392 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37391b7 - 4?\nAnswer: -37391bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103269, -103268, -103267, -103266, -103265, -103264?\nAnswer: -103263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from afaffafaaffaf.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20080465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 25 - 35 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-10 + 2 + (28 - 23)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 1. Let u be j(1). Let o(y) = y + 2. Let p be o(-8). Let i = p + 11. Calculate the highest common divisor of i and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -4, -70.\nAnswer: -70, -67, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*u + 97, 44*j + 4*u + 72 = 46*j. Suppose -j*w + 8 = -94. Solve 2 = -3*z + 4*d, 7 = 3*z - d + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 33373?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -49 + 1. Let i(u) = u**2 - 5*u - 16. Let g be i(8). Let a be 6 + (-76)\/12 - g\/3. Sort a, 5, v.\nAnswer: v, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -10 + -20 - -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*o - 63*o - 15, -2*l = o - 67. Calculate the remainder when 172 - -2 - (-1 - -2) is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 2*o**2 - 60 + 32.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 13*c + c**2 + 32 + 288 + 5*c + 305 + 32*c = 0.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 3\/5, 3, 2, 0, -81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 70?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/3 + 3*m + 3. Let v(z) = -z**2 + 8*z - 7. Suppose -3*j = -4*j, 0 = c + j - 7. Let f be v(c). Give y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = 7*p - 171865. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.801 to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = 1. Let i = 0.236 - 0.036. Which is the fourth biggest value? (a) -5 (b) -0.3 (c) i (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 = -1. Solve 2*n + 5*b = -m, -b = 3*n + 2*b + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d - 50. What is j(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 73 = 4*a, 0 = 5*c + 3*a + 5878 - 5802 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36651 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.094 * -5.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/90 - ((-168)\/(-35) - 5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928431541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36774.63664 - 36774. What is f rounded to three decimal places?\nAnswer: 0.637","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11085200 (base 9) to base 7\nAnswer: 63436014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*h - 21, -1078*i - 5*h - 109 = -1052*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let p(g) = -86*g - 97. Let r(k) = -5*b(k) - p(k). List the prime factors of r(5).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 7*j**2 + 19*j**2 + j. Is 18 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4885)\/90 + (-7)\/(-42). Let n = -101 - -155. Let k = n + d. What is the common denominator of -34\/27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, 5, -181253 in increasing order.\nAnswer: -181253, -178, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16*p**2 + 11*p. Let t(j) = -3*j**2 - 2*j. Let h = 78 - 52. Let q = h + -28. Let y(z) = q*x(z) - 11*t(z). Let g(i) = -21*i**2. Give g(y(a)).\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64\/27 - 314\/135. Let x = n + -32\/45. Let j(y) = y**3 + y**2 - 22*y - 42. Let f be j(-2). Which is the nearest to f? (a) x (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 26*i**2 + 100*i + 1254. What is y(-27)?\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, i: 2, y: 2, e: 2}. Give prob of picking 1 y and 2 e.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -0.4, 8\/5, -0.05, -93.\nAnswer: -93, -1, -0.4, -0.05, 1, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87900*v - 4516 = -87753*v + 6215 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 4\/9, -280803, -0.6, 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9725, 9798, 9919, 10112, 10401?\nAnswer: 10810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4 and 1\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 671 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*f - 2*f. Let c be (4 - 8) + (-2 - (f - 10)). Suppose c*g - 7841 = -k + 3*k, 6280 = 4*g - 4*k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**3 - o + 2. Let a(p) = -9*p**3 - p**2 - p + 3. Let n(m) = 2*a(m) - 3*l(m). Calculate n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, s: 7, j: 8, q: 1, x: 2}. What is prob of picking 1 j, 2 s, and 1 e?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/9, 7.2, 0, 5\/131 in increasing order.\nAnswer: 0, 5\/131, 1\/9, 0.3, 7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14762, -14759, -14756, -14753, -14750, -14747?\n\"Answer: 3*v - 14765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*i - 16852 = 628*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 141 = 5*v, -3*l = 2*v + 22 - 91. Suppose -27*n + v = -12*n. Sort -1\/4, -5, n, 11 in ascending order.\nAnswer: -5, -1\/4, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*l + 352*l + 190*l.\nAnswer: -174*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(36)\/sqrt(4)) + sqrt(2) - sqrt(18)*1) + -1*(sqrt(2) - -1*sqrt(2)) + (sqrt(2) - (-1*sqrt(16))\/sqrt(8)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6589 or 46132\/7?\nAnswer: 46132\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/15 - ((-8)\/(-1) + -5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*-3 - (-5 - -7). Solve 15 + h = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016125 divided by 5?\nAnswer: 603225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -21*w - 13. Let k(u) = -104*u - 67. Determine -11*d(p) + 2*k(p).\nAnswer: 23*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w = -52*w - 1485. Calculate the smallest common multiple of 54 and w.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 = 0, 5*g + 360*c - 234572 = 363*c. What is the ten thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*sqrt(300)*4*-5)**2.\nAnswer: 2999999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -153. Let b(o) = d*o + 7*o**3 - 23*o - 26*o + 2 + 6*o**2. Let h(j) = -6*j**3 - 5*j**2 - j - 2. What is 5*b(w) + 6*h(w)?\nAnswer: -w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1448 = 7*n + 174. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*i + 830*i + 156*i.\nAnswer: 1059*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1735859819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/31)\/z)\/z*z**(-4\/5) assuming z is positive.\nAnswer: z**(-444\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18885370862 and 0.5.\nAnswer: -18885370861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*h - 191*h = 137050200. Round h to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + -62. Let n = 0.2 - -4.8. Let z = 6 - n. Which is the smallest value? (a) -1 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/83812752 and 57\/260656.\nAnswer: 921940272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73, 68, 59, 46, 29?\n\"Answer: -2*p**2 + p + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63438222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -67 + 227. Let y(p) = 20*p - 24 - 8*p - 25 + 42. What is the remainder when q is divided by y(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6833715 is divided by 583?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 4, 2, -1 in decreasing order.\nAnswer: 4, 2, -1, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*c - 454 = 498 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let b(o) be the first derivative of -3*o**2\/2 - 265*o + 591. What is b(f(c))?\nAnswer: 3*c - 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 + 4 = h, 3*j + 25 = 5*h. What is the second derivative of -r**2 - 3*r**5 - 2*r**2 + 3*r**h - r wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -15. Let w = i + 0.028. What is w rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588 = 11*s - 1761 - 973. Is 311 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3651 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31751*n**2*u**4 - 54*n**2*u - 10*n**2 + 2*u**4 - 10*u**2 + 1 wrt u?\nAnswer: -762024*n**2*u + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -6626372?\nAnswer: 6626374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20))\/((-2)\/(-30)*3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 299627 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 81*k**3 + k. Let i be d(1). Let v be 10\/(3 + i\/(-26)). Let l = -31 - v. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 609511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 312*t - 33381. What is v(107)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + n + 25 = 5*h, -3*h = 2*n - 28. Let k be (h + -8)\/((-2)\/3). Let t(v) = v**2 - 2*v - 3. Calculate t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 133?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1356 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*i + 37521 = 0, -4*h + 3*i + 50028 = 6*i. Suppose -19*a = -16*a - h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4513374 is divided by 648.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 145. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-1890)*21)\/(2 - 38\/20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*i - 5 = 0, -23*i + 66*i - 19 = -17*g + 38*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -643\/4. Which is the smallest value? (a) -1 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 652845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13404\/59 or -228?\nAnswer: -13404\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) -3 (c) 4 (d) 0.3 (e) 73216\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35814*u**3 - 23*u + 52964926?\nAnswer: -107442*u**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**3 - 19*w**2 - 21*w - 3. Calculate s(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806923.2 litres to millilitres.\nAnswer: 806923200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 4*b**2 - 4*b + 2. Let r be y(3). Let w be r - -1 - (-1 - -1). Suppose -2*s + 4*o + 22 = w, -3*s + 5*o + 21 = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13643175 divided by 2728635?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 2*z + 2*z)*(-z + 8*z - 5*z) + (2 + 2*z - 2)*(z - 5*z + z) - 2*z**2 + 5*z**2 + 2*z**2 in the form k + h*z + g*z**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1088) + -1) - sqrt(1088))**2 - (5 + (sqrt(1088) - (-2 + sqrt(1088)))).\nAnswer: -480*sqrt(17) + 39186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21)*14\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4))\/((-27)\/35622) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 21*h - 11. Let v(g) = -20*g + 11. Let k(f) = 3*v(f) + 4*z(f). Is k(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8484, 33696, 75722, 134568, 210240, 302744?\nAnswer: 412086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 14*r + 14. Let g be n(-13). Let j(a) = -5*a**2 - 84*a + 16. Let v be j(-17). Sort 2, 3, v, g.\nAnswer: v, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -244 - -295. What is the nearest to 0.1 in -1\/7, 1, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 3*q - 4*f, 1908 - 1922 = q + f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/9))**(-25\/2)*l\/(l\/(l*l**(2\/11)))*l*l\/((l*l\/(l\/l**(-1\/11)))\/l)*l assuming l is positive.\nAnswer: l**(1121\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/36*(-2)\/(-17760)*-9. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801856955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r - 24. Let o be v(-7). Suppose o = w - 4. Is w equal to 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0.1 (b) -5 (c) 2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m + 2. Let t be q(-2). Is t at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -17*f**4\/12 + 40*f**3\/3 + 379*f**2\/2 + 3144*f. Find the first derivative of x(u) wrt u.\nAnswer: -34*u + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:53 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6754.\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1023334798 divided by 94421.\nAnswer: 10838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 + 34 = -3*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -338*b + 2*b**5 - 279*b**2 + 50*b**2 - 469*b**2 - 4*b**5 wrt b.\nAnswer: -40*b**3 - 1396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7)\/(b**(-2\/9)\/b))\/(b\/(b*b\/b**(-2\/33)*b)*b*b*b**(-1\/4)) assuming b is positive.\nAnswer: b**(3853\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**14*z)\/(z*z*z\/(z\/(z\/(z*z**(-1)*z))))*(z\/(z\/(((z**(1\/4)\/z)\/z)\/z*z)))**(-29))**(1\/9) assuming z is positive.\nAnswer: z**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 (base 14) in base 11?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x - 29*x + 8*x in the form f + u*x and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, 3, -41792?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, y: 4}. What is prob of picking 1 y and 1 p?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -22 + 1. Let d = 10 + o. Calculate the remainder when 5 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16913.\nAnswer: 13, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -13*d**4\/12 + 34*d. Let a(q) = 2*q**2. Determine a(r(o)).\nAnswer: 338*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:36 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-54)\/(-9)*(0 - -5) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*o + 998*o - 42 + 301*o + 42.\nAnswer: 1429*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*s - 58 = -306 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m**2)*(1 + 0 + 5)*(-6*m + 3*m + 2*m)*(-m + 4 - 4).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/15)\/((-3)\/(-1425)). Let d be h\/8 - (-5)\/20. Suppose -6*n + d = -4*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -877.\nAnswer: 263.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -57 + 57 + 62*c - 67*c. Let a(f) = -59*f - 2. What is m(a(k))?\nAnswer: 295*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Is z less than or equal to 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Let y = -1 + f. Let p = 0.63 - 0.63. What is the closest to 2\/7 in p, -4, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95992 and 17914.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -658574722 and 0.2.\nAnswer: -131714944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11175, -22281, -33409, -44559?\n\"Answer: -11*j**2 - 11073*j - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/(u**0*u))**(-3\/4) assuming u is positive.\nAnswer: u**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -66 (b) 4 (c) 1 (d) 0.113 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*i - 34 + 2, -2*c = 2*i + 22. Let o = i + 20. Solve 5*p = 12 + o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9584 + 6.9584. What is the nearest to n in 1, 0.3, 0.115, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -162513 - 4?\nAnswer: -162517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/6 + -1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1188 and -0.4.\nAnswer: -1188.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 23 - -22) + -24\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 plus 38078913?\nAnswer: 38078912.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 + -28. List the prime factors of a.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q\/q**6)\/q)\/q)*q)\/q**(-1\/9)*(q**(1\/3)*q*q)**50 assuming q is positive.\nAnswer: q**(1132\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a = 65*a. Solve -5*r + 2*q - 7*q - 35 = a, r + 5*q = -27 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 119, -0.5, 5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f**2 - 25. Let b(y) = -15*y**2 + 29. Let t(i) = -6*b(i) - 7*k(i). Let w(n) = 16*n**2 - 6. Give 12*t(m) + 2*w(m).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1237, 232, 3, 5.\nAnswer: -5, 3, 5, 232, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**6\/10 + 357*z**5\/20 + z**4\/4 - 119*z**3\/2 - 45*z + 87. Factor o(x).\nAnswer: -3*x*(x - 119)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 59662?\nAnswer: -5965a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, g: 6}. What is prob of sequence mm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -39.05. Suppose -u - 4 + 5 = 0. What is the third smallest value in k, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3815.4 - -3815.5. Which is the third smallest value? (a) -2 (b) -4 (c) 3 (d) -7 (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 + (-8)\/5)*10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -123. Let t be 8\/3 - i\/21. Suppose 2*x = 4*f + 6, f + 4 = -2*x + 15. Solve 22 = x*s + t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5 - 94*v**4 + 1575*v**3 - 7190*v**2 + 11924*v - 6216 = 0 for v.\nAnswer: 1, 2, 3, 14, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 31*v - 15015 = 4*x, 0 = -3*v + x + 44990. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from {w: 1, p: 4, c: 2}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 20 + 4. Let d = m + -6. Calculate the greatest common factor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060969180.\nAnswer: 2, 5, 53048459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 67, 102?\n\"Answer: 35*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63432.2 + -58575. Round c to the nearest ten.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 731 + -730.9994008. Round j to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1273*t**4 + 877 wrt t.\nAnswer: -5092*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14 - 259\/49. Let p = w - 7. Let t = -2 - p. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 20?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 27*j = 38. Suppose -j*q = 8*q + 3100. Is -310 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990469251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 811 - 3299\/4. What is the common denominator of v and 45\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, -61970 = -5*l + b - 8040 + 1810. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 0. Let y = j - -4. Suppose -46 = -41*c + 36. Calculate the remainder when y is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = z - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:48 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 11*y - 10. What is p(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 - 15 + 2*p + 2*p + 13. Let a(j) be the first derivative of -4*j**3\/3 + 214. Determine a(d(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86138 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2617819, 5235648, 7853489, 10471348, 13089231, 15707144?\nAnswer: 18325093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6 (b) 0 (c) 2\/19 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -296 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = -68. Suppose 0 = 6*h - 8*h - u + 32, -4*u = -4*h + 76. Calculate the remainder when o is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -143*o + 13. Let k be s(3). Let b be (3\/9)\/(7 - k\/(-60)). Sort b, 170, -5 in increasing order.\nAnswer: -5, b, 170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113400 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1298 - 1303) + (30 - -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3468g in micrograms?\nAnswer: 19346800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3277 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 equal to -1055\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -633 (base 8) to base 9.\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15*(4\/(-2) - (-6)\/6). Suppose -q*c + 13*c + 308 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110297147 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 17*w - 43*w = 0. Suppose 3*n - 3*z = z + 19, w = 3*n - 5*z - 20. Solve -d + n = -4*q - 2, -q + 3*d + 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - -5 - 10) + -3 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824 + 2411*l - 1130 + 306.\nAnswer: 2411*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let g(m) = -40*m**2 + 11*m**2 - 49*m**2. Calculate g(c(o)).\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, l: 4, z: 6, x: 2}. Give prob of sequence xtz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:52 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 39*s = -34*s, -4*s + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 323637 + 323845 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g - 120 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o + 4. Let j(c) = 3*c - 3. Let p be (-48)\/(-21) + 4\/(-14). Calculate p*i(b) + 3*j(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -2.598, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4101.\nAnswer: 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3363)\/(-9735) + (-17)\/11 + 1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*m + 11. Let i(v) = v + 2. Let k be i(m). Suppose 4*u = 5*a - 43 + 15, -5*a - 4*u = -12. Are k and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.6 - -16175017.52509.\nAnswer: 16175039.12509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 2*d**2 - 7\/6*d**3 + 0 + 1\/6*d**4 + 15501\/20*d**5 - d. Let o be t(-9). Round o to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/80128 and -55\/25988?\nAnswer: 520591616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**3 - 2*z - 2. Let b = 2 + -3. What is the least common multiple of 9 and x(b)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16195634 and 301782.\nAnswer: 48586902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j. Let y(o) be the first derivative of -61*o**2 - 1680. What is y(z(m))?\nAnswer: 122*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3215978 is divided by 84630?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50304, 0, -0.9, -2\/5 in decreasing order.\nAnswer: 50304, 0, -2\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 3*z)*(-1 - 1 - 2) - 11*z - 15*z + 13*z - 1 + 1 + 2*z)*(-3*z + 2*z - z).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -228427.9 - -228428. Let p = 0.39 - -0.03. Let g = p + -18.42. Are m and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {l: 5, b: 8, h: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5\/3 - 1648524*r**4 - 2038208697056*r**3\/3 - 93330934975486560*r**2 + 840023935559963712*r - 1306718695968412608 = 0. Calculate r.\nAnswer: -412134, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 10. What is the remainder when f(-7) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -250, -736, -1410, -2230, -3154, -4140?\nAnswer: -5146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2066 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujujjjjjlmmc. What is prob of picking 4 j?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1169.\nAnswer: 2338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257379928?\nAnswer: 2, 13, 19, 130253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 197*j + 4523. Let f be v(-23). Let u(q) = q**2 + 2*q - 4. Let t(b) = -b**2 - b + 3. Let y(d) = -4*t(d) - 5*u(d). Determine y(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-4)\/(-24)*-5*12\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258168 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -43003.405?\nAnswer: -43003.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/30*1*(-1)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -5 - 10\/2. List the prime factors of (w\/6)\/((-8)\/336).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 + -0.05. Let u = -0.98 - w. Let s = 0.12 - -4.88. Which is the second smallest value? (a) s (b) u (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14852019881151\/14972 - 991986366. Let g = f + 3\/788. Factor -16\/19 + 24\/19*a + 2\/19*a**3 - g*a**2.\nAnswer: 2*(a - 2)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9695 by 277.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21 + 0*(-2)\/6. Suppose 0*c + c - 4*o = f, 5*c - 105 = o. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.02051 minutes to milliseconds.\nAnswer: 5701230.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 - 1. Let x = c + 71. Let m = 74 + -43. What is the remainder when m is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - -126. Let m = q - 187. What is the closest to -0.1 in m, -52, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1475*t**2 - 4*t - 2 + 1482*t**2 - 2932*t**2 + 3*t - 5*t**3 to the form d*t + g*t**2 + h*t**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1264860 by -4.\nAnswer: 316215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147498766 - 147498766 + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 1279256\nAnswer: 117\/1279256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 9*w**2 - 10*w - 9. Let g be b(8). Let a = g + 51. Let n be (-32)\/208 + 1876\/a. Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1864*l = 1780*l - 1260 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 - -156. Suppose 0 = 3*a - 4*s + 20, -7 - 3 = 5*a - z*s. Solve a = x - 4*t, x + 7 = -2*t - t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18 and -95\/3882.\nAnswer: 11646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 36 = -0*h. Is h at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -r. Let f(o) = -4*o**3 + 0 + 2 - 3*o + 6*o**3 - 5*o**2. Calculate the remainder when f(r) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 6, 11*n + 3*m = 9*n. Let g(w) = n*w**2 + 43 - 43 - 5*w**2. Let k(u) = 6 - 7 + 43*u + 1. Give g(k(d)).\nAnswer: -3698*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76 and 0.07.\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317, 632, 947, 1262, 1577?\nAnswer: 1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 20*l**3\/3 - l**2 + 2*l + 11. Let n be a(1). Suppose 4*p - 96 = -4*v, -v + n = -0*v + 3*p. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057135609 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6406843.\nAnswer: 89, 71987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/8*(7200002 + 0 + -2). Suppose -7*y - d = -y. Round y to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-2*sqrt(76) + sqrt(76))*-3)\/(5*2*sqrt(4)) - ((sqrt(76) - (sqrt(76) - (sqrt(76) - 1*sqrt(76))))\/sqrt(4) - (sqrt(2299) + -3))).\nAnswer: -6 + 113*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/22 and -69\/464.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 172\/258 - 4\/((-144)\/(-33)). Let b(v) be the first derivative of -v**3\/3 + 7*v**2\/2 - v + 3. Let o be b(7). What is the closest to u in -1\/5, -29, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9751090 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860830543 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 35 = 2*z, -5 = -4*z - 5*r + 50. Let n = -29\/3 + z. Which is smaller: 6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(152) + sqrt(152)*-3)*3 + sqrt(152) + sqrt(152))\/(sqrt(96)\/(sqrt(72)\/sqrt(6))).\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*23\/((-3266)\/1775).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, 136, -135 in increasing order.\nAnswer: -135, -26, -5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v. Let l be (8 + 4 + -2)*1. Suppose 14*w - l*w - 4 = v. Put -0.08, 0.3, w in increasing order.\nAnswer: -0.08, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w - 2, 87 = 4*i - w. Calculate the highest common divisor of i and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.037 bigger than -268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93072*k**4 - 92927*k**4 - 1300*k**2 + 207 - 208 wrt k?\nAnswer: 3480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28960391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 10 = 46. Suppose -o*r + 7 = 3*l - 31, -3*r - 4*l + 25 = 0. Suppose 0 = r*f - 158 - 139. Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/g**0*(g**(6\/11)\/g)\/(g*g*g**2*g))**(-38) assuming g is positive.\nAnswer: g**(6042\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from mpppgtttngtttgpttgn?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 16*w + 96. Let j(p) = p**2 + 17*p + 97. Let r(k) = -3*f(k) + 4*j(k). Suppose r(x) = 0. What is x?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 563850117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/12 + 440\/24. Suppose -46 = -5*k + 4*b - 11, b + m = 5*k. Solve 6*u = k*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/770)\/((-11)\/121).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 1. Let t be x(-3). Let g = -8 + t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 1785*z**3 + 4432*z**3 + 2293*z**3 + 2538*z**3.\nAnswer: 11048*z**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 2295616?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10237*a + 71424. Calculate g(-7).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-40) - (-8)\/5. Let a(l) = 7*l**2 + 44*l**2 + 5*l**2 - o - l. Is a(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -480, -1083, -1928, -3015?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (9 - (-5 - -7)) - 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 1. Let y be q(2). Let t be 3\/((-63)\/(-49)) + (-2)\/y. Differentiate 165 + 3*d**t - 3*d**3 - 21*d**4 - 157 with respect to d.\nAnswer: -84*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + y + 13, 4*t + 3*y = -6 - 17. What is the tens digit of t - (-78 - (-3 + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 at least -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-594315)\/(-189))\/47 - (7 - 1341\/189).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = -2*v. Let h be -1*(-2 + 22)\/v. Suppose f - 2*z + 0*z - 29 = 0, h*f + 5*z = 160. What is the remainder when 91 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 (base 15) in base 2?\nAnswer: 100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3790077 and -4550801?\nAnswer: 760724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 23532299156.\nAnswer: -23532299161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 52, 109, 186, 289, 424, 597, 814?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -12. Let u be -18*95*2\/v. What are the prime factors of u\/21 + 4\/14?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*-39*(-139)\/(-75894)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 64 = -5*n, -5*g + 37 = 5*n - 83. Suppose 0 = -0*z - 3*z - 5*a + 25, 0 = 5*z - a - g. Solve 20 = -0*v - z*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-25\/6)))\/b**(1\/15)*b**(-6\/17)*b**(1\/7) assuming b is positive.\nAnswer: b**(4629\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 15*c - 11. Let a be p(-16). Let x(w) = 4*w**3 + w**2. Let q(y) = -3*y**3 - y**2. What is a*x(z) + 7*q(z)?\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 8*x**2 - 29*x + 43. Let d be a(10). Let l = d - -47. Solve -8 = -2*c - l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - v + 5*v + 6.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 0 + 2 - ((0 + sqrt(1700) + -3)**2 + sqrt(1700)).\nAnswer: -1707 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.028 in 0.5, 5\/4, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 20. Suppose 5*o - 28 = -4*v, -v + 4*v + l = 3*o. What is the third derivative of 97*i**2 - 16*i**3 - o*i + 4*i - 115*i**2 wrt i?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q. Suppose 0 = -5*o - 48 + 133. Let w be (3\/(-2))\/(9\/(-24)). Suppose -w = -13*x + o*x. What is s(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.1741474 to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 1 - -2) + (9 - 14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*i**2\/5 - 662*i\/5 + 2296\/5.\nAnswer: 2*(i - 4)*(11*i - 287)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34475089*n**2 + 34475089*n**2 - 4082*n**3.\nAnswer: -4082*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1994*h + 44. Let y(p) = 29913*p + 649. What is 59*f(m) - 4*y(m)?\nAnswer: -2006*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:51 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68298.957us to hours.\nAnswer: 0.0000189719325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/15 and -13\/485.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m = 2370 - 1506 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110201 (base 5) to base 15\nAnswer: 11d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88 + (-9)\/((-36)\/(-8)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 65 = -14. Suppose -r = 4*j + 9, 11 = -3*r + j - q. Sort -0.2, 4, r, -0.17.\nAnswer: r, -0.2, -0.17, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 11 + 17 - 17*x**2 + 25*x**2 + 2*x to the form o*x**2 + y*x + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4111792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -79, -117, -157, -199?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 552173395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021121 + -2000?\nAnswer: 10012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2802110 + -5?\nAnswer: 2802107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 22*k - 11. What is the tens digit of a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 150*n**2 + 3162*n + 14793. Calculate y(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 368 = 5*s + 5*p, 0 = -3*s - 4*p + 264. Suppose -5*c = -10*c + 20. Suppose 3*m - 3*w = -4*w + 45, c*w = 5*m - s. 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 246 minutes before 12:39 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(-2*-3*sqrt(272) - -6*-5*(sqrt(17) + sqrt(17)*-1)))**2.\nAnswer: 489600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 2 - (5 + -2). Suppose 10*c - r = 8*c. Let x = -30 + 32. Solve y + y - 4 = 4*v, -c = x*y + v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2204, 2205, 2206?\nAnswer: 2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14\/17 + -76\/51. What is the closest to 1 in -0.2, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8.8, 26\/7, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - (-2 + 6 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 196268*r*u**3 - 187413*u**3 wrt r?\nAnswer: 196268*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.1 - -27. Let p = v + 4.1. Let h = 556 - 558. Which is the nearest to -2? (a) p (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 626 + 2908. List the prime factors of j.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/5, 2\/7, 80, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-17)\/s)\/s**15)\/(s**(-14)\/(s*s**(-2\/5))) assuming s is positive.\nAnswer: s**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3231988 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.21 and 78.\nAnswer: 77.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/120 - 7*u**5\/60 + 7*u**4\/24 - 2*u**3\/3 + 2*u**2. Suppose 3*b + 6 + 18 = 0. Let g be t(b). Is 2 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Suppose -x = 3*i - 0*x - 80, -5*x = -i. Suppose -7*d + v*d = -i. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-3)\/(-18)*-9. Calculate the least common multiple of 7 and (26\/v)\/(2\/(-6)).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*l**3*m**3 + 3180*f*l**3 + 15*f*l - 40*f*m - l**3*m**3 - 15*l**2 + 3*l*m**3 wrt l.\nAnswer: -12*f*m**3 + 19080*f - 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -74. Suppose -i*u = 2*o, 5*o - 3*o = u. Solve -5*j + 8 + 7 = o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50391 - 16972 = -31*r. Is 53 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8918944 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: Express 2 - 244*c**2 + 297*c - 142*c**2 - 297*c in the form q + x*c**2 + z*c and give x.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 3*c - 4*c - 32, -4052*m = 5*c - 4061*m + 112 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 715 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 1.2. Is 15 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.03. Let t = 1.05 + x. Let n be ((-9)\/27)\/(1*3\/6). Which is the closest to n? (a) t (b) 0.5 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -503?\nAnswer: -9\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 - 213*f - 1914489\/2.\nAnswer: 3*(f - 873)*(f + 731)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 37)\/(1*(4 - 2)). Suppose 3*f = o*f - 6256. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -21 + 0*x - 11\/2*x**2 + x**3. What is the second derivative of f(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 20 + 5. Suppose -d = -y - 3, -b*d + 4*y + 14 = -0*d. Find the second derivative of -c**d + c**2 + 3*c**2 - 5*c**2 + c wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1622292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -54 (b) -1 (c) 4 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - sqrt(84)*-2) - sqrt(84))*-2 - sqrt(84))\/(sqrt(72)\/(sqrt(24)\/sqrt(4) + sqrt(6)) - sqrt(12)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -57117.\nAnswer: -57116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 + 1\/2. Suppose 4*p + 2*t - 4*t - 52 = c, 4*p - 52 = -5*t. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Suppose -3*b + 89 = 3*o + 98, 0 = 3*b + 2*o + 14. Let m(s) = 2*s. What is b*m(k) + 5*j(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x**5 - 34365*x**4 - 46120*x**3 + 168140*x**2 + 122720*x - 244800 = 0.\nAnswer: -2, 4\/3, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -40*380\/(-19456)*-32\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10, j + 24 = -5*m + 73. Solve -74*z + j = -35 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-8)*6\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 0.0728, -1\/5, -8?\nAnswer: 0.0728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/173, 0.1, 0, -0.08.\nAnswer: -0.08, 0, 2\/173, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9864 = -32783*d + 32372*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 1440 - 2877 + 1437.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 8*l + 12. What is the remainder when 22 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -142424321211?\nAnswer: -142424321213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 21. Let w be 3\/(-9) + 16\/x. Let j(l) = -6*l**2 + 4*l**2 - 17*l + 3 + 14*l + 0. Let a(d) = 2*d**2 + 2*d - 2. What is w*a(h) - 2*j(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 5 + 2 + -7 - (-71 - -82)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/14 (b) -0.3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13)**(-2\/21)\/(z**(-13\/2)\/z**18) assuming z is positive.\nAnswer: z**(977\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/90*-2*(-4450)\/2403.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + 1 + -4*(-5 + (sqrt(1053) - (sqrt(1053) + 2)) + -2*sqrt(1053)*-1 + sqrt(1053)))**2.\nAnswer: -5832*sqrt(13) + 152361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052643 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 8. Let b(z) = 4*z - 46. Let o be b(13). Let c be (-98)\/60 - 1*(-9)\/o. Is c bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102583661*y**3 + 4647108*y**2.\nAnswer: -615501966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 12636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3*3\/(-27))\/(2\/(-276)). Suppose -2*c - 43*u = -d*u - 48, -2*c = -5*u - 44. Calculate the greatest common factor of c and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*k - 118 = 2*k, k = -2. Let y = -32 + x. Solve -5*m - y*d = -8, -m + 0*d - 3*d - 5 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (693\/(-385))\/((-2)\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 305, 14\/17, 2, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 17*n = -3*r + 1215, 5*r = -25. Let o = n + -243. Solve g + 4 = -o*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-1 + 2*sqrt(17)).\nAnswer: -6 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by -30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3536\/102*3*214 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-99)\/(-270)*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = 3*w + 152. Let s = 111 + w. Suppose -107 = -v - 32. Calculate the remainder when v is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67994695 greater than -67994695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*w**2)*(-5*w + 3*w + w + (36 - 26 + 8)*(-13*w - 9*w + 5*w)).\nAnswer: 614*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334460521.\nAnswer: 373, 896677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -108 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 9*b**2 + 9*b - 7. Let x be y(-8). Let i = 147 + x. Suppose 2*u = -9 + 57. Solve -i*m - 33 = -5*d, 2 = m - 4*d + u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 29*q**2 + 6*q - 69. Let d be t(-28). Suppose 0*h - 580 = -h + 3*o, 1716 = 3*h + 3*o. Let z = h + d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:31 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 28*j**2\/3 - 1868559580*j\/3 - 177958056 = 0.\nAnswer: -2\/7, 66734271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from jorromooooroooo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose -i*h = 4*j + 40, -2*h = 2*j + h + 24. Let v be (j + 0)*((-3)\/9 - 0). Solve -v*n + 8 + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from wwwwwwwwwwlwwwwwwww.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 536*o**2 + 62*o - 400. What are the prime factors of j(9)?\nAnswer: 2, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 147*g**4\/8 - 105*g**3\/4 - 597*g**2\/8 - 69*g\/2 - 9\/2 = 0.\nAnswer: -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210977104 to the nearest integer?\nAnswer: 14525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4 + 0 + 4*k**2 + 0 + 5*k**4 wrt k.\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let f = -14.4 + 14.3. What is the nearest to 1 in f, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 611465 + 121904 = -133*o. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5 = 5*h, -5*h - 215*t = -211*t - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 8 + 8)*(-1597 + 943 + 564 - 470 - 3016 - 3596).\nAnswer: -35860*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182 or 189?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 544*g + 1635. Let d be n(-3). Find b such that 27\/8*b**2 + 9\/4*b**d + 0 + 3\/2*b + 3\/8*b**4 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 4, -250, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-7)\/((-35)\/10). Put 1, -2, q in descending order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 485 (c) 0.1 (d) 1\/2 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10.15. Let v = -0.05 - l. Which is the closest to 2? (a) v (b) -1\/2 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 21*u + 235. Is t(36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*l + 50 = 0. Calculate the least common multiple of l and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. What is the remainder when -4 + (3 - 13)*-1 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 + -7c?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*b = -80. Let n(u) = -6*u - 5. What is the remainder when n(-5) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u. Let y(h) = h**2 + 6*h + u*h - h. Give y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 182358822 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-16))\/((-4)\/40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.0401 hours in seconds?\nAnswer: 892944.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386 and 378?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = 0. Suppose m = -3*n + 2*n + 95. Let w be (19\/(-3))\/((-2)\/6). What is the greatest common factor of n and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/279627732 and 137\/46604622.\nAnswer: 279627732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 224 - 160. Suppose 17*u - 24 - 112 = 0. Calculate the greatest common divisor of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 3*r**2 - 3*r - 5. Let z be u(6). Suppose -z = -3*t - 1. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/(-76)*56\/63. What is the closest to 7 in 0.2, -5, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4474 - -11421. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {g: 9, a: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 9) to base 5\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107016 divided by 3.\nAnswer: -35672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128010491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3528086g in kilograms?\nAnswer: 0.0003528086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 846 - 586. Suppose 4*i = 9*i + g. Let o = -26 - i. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 3*i - 5. Let a be u(1). Let x be (-12870)\/(-231) + (-2)\/(-7). Sort a, x, 2, -4.\nAnswer: -4, a, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129604, 1036617, 3498520, 8292757, 16196772, 27988009, 44443912, 66341925?\nAnswer: 94459492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from sqppsds.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22044 + 22048. Let d(o) be the second derivative of 1\/12*o**w + 32*o + 1\/20*o**5 - 1\/6*o**3 + 0 - 4*o**2. Calculate d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 5*t - 7. Let l be y(-5). Suppose -45 = 52*j - 57*j. What is the highest common factor of j and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 514328 and 24856.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z + 2. Let b be d(1). Let t = b + -12. Sort t, 4, 3.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143414 - 3448 = -28*v + 70782. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 - 2*u + 4. Let q be i(-3). Let g be q\/(-9) - (-4)\/(-18). What is the second biggest value in 5, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*a - 12 = 960*a, 0 = 13*w + 3*a - 2 - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 13207366?\nAnswer: -13207365.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1))**50*(r**1)**(-1\/9)*(r**(2\/13)\/r**6)\/(r**6\/r**(4\/3)) assuming r is positive.\nAnswer: r**(10457\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -3, -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 95, 198, 307, 422, 543, 670, 803?\n\"Answer: 3*z**2 + 94*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -697.392039 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((341\/(-22))\/(-31))\/((-2)\/28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/92 or -5219?\nAnswer: 25\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4422 divided by -2?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 5*p + 2. Let c be n(-5). Suppose -c*i + 25 = 3*i. Suppose 0 = i*v + 3*r - 947, 3*v - 403 - 174 = -4*r. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 52*w**2\/7 - 198*w\/7 + 36.\nAnswer: -2*(w - 1)*(w + 6)*(w + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2*9)\/(-9 + 7) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*q = 4*q + 4, 2*d + q - 4 = 0. Suppose 5*v + 2955 = -d*x, -x = x - 4*v + 1484. Round x to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/9 + 956*d**2\/9 + 123202*d\/9 + 2097640\/9 = 0. Calculate d.\nAnswer: -229, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 1. Let p = g + 0.6. What is the closest to p in 2\/3, 1\/4, 1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*a + a = 112, -n = 2*a - 26. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*t = -411*t + 24 + 32 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 747*o - 16. Let z be v(-6). Let p = 78139063\/14 - 5576860. Let u = p + z. Find the common denominator of -7\/18 and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q - 83. Let t(w) = w - 9. Let s(p) = -6*t(p) + z(p). Let b(a) = -10*a. Determine b(s(g)).\nAnswer: -10*g + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16596 is divided by 142?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 2. Let f(q) = 7*q + 60. Determine -4*c(h) + f(h).\nAnswer: -13*h + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/13353804 and 71\/8352?\nAnswer: 106830432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11053?\nAnswer: 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3 + 3 - 154*g - 61*g**4 + 12*g**4 - 82*g**4 + 37*g**4 - 2*g**2 wrt g?\nAnswer: -1128*g**2 + 24*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(152) + sqrt(152)))\/(sqrt(128) - (sqrt(128)*1 + sqrt(128))).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3709 times -204?\nAnswer: -75.6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 226870.\nAnswer: 680610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 12*k - 312. Let d(t) = 7*t - 1. Let n(u) = -9*d(u) - x(u). Differentiate n(c) wrt c.\nAnswer: 2*c - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*a**3*v - 3*a**3 + 2*a**2 - 2*a + 4571*v + 18 wrt a?\nAnswer: -45*a**2*v - 9*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 180\/3*151\/1510\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -10310?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 46*k + 6. Let x(a) = 3*a**2 + 92*a + 10. What is -5*r(v) + 3*x(v)?\nAnswer: -v**2 + 46*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3908 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9680000 = 6*s. What is s rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66, 50, 14, -48, -142?\n\"Answer: -o**3 - 4*o**2 + 3*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -155. Are -1\/7 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -24640654?\nAnswer: 24640641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095748?\nAnswer: 2, 59, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -221310 (base 4) to base 7\nAnswer: -10542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 1, i: 1, n: 1, p: 2, e: 2}. What is prob of sequence npix?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 11*d**4 - 4*d + 8*d**4 + 3*d**2 + 7*d.\nAnswer: -3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 994.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**5 - d**5 + 3*d**5)*(1 - 7 + 1) - d**5 - d**5 - 2*d**5 + (-5*d + 4*d**2 + 5*d)*(2*d + 2*d**3 - 2*d).\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72495.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366*b*l**3*m**3 + 2*b*l**3*m - 6*b*l**2*m**2 - 4*b*l**2 + b wrt m.\nAnswer: -2196*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21004 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.239918 - 6430512.\nAnswer: -6430534.239918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11308723 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552095735 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -2.6. Let m = 1 - 0. Let j = -231 - -232. What is the closest to m in -0.3, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + sqrt(180))**2 + 2)*-5.\nAnswer: -895 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1332.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -55.2. Let p = g + 0.8. Let b = p + 5. What is the smallest value in b, -3\/5, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from zzzzzzzzzhzzzzzzzz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/236640300 and 1\/871425?\nAnswer: 2129762700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9, 0.14, 0.1 in decreasing order.\nAnswer: 9, 0.14, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*o - 83 = o, -o = -2*z + 148. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 8*o - 943. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180299?\nAnswer: 7, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/17 and 41\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w*w*w\/(w*w**(-8)))\/(((w**(-4)*w)\/w)\/w)**34 assuming w is positive.\nAnswer: w**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(1\/23)\/(t*t*(((t*t*t**(-2\/5)\/t)\/t)\/t)\/t*t*t)**(3\/40))\/(((t**(3\/7)\/t)\/t*t\/(t*t*t\/t**(5\/2)*t))\/(t*t**(-3)*t**0)) assuming t is positive.\nAnswer: t**(-41\/8050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13448 - 13446. Solve -16 = u*c + 2*s, -c - 23 = 3*s - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.297?\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/3 - 25*t - 162 = 0.\nAnswer: -6, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**3\/6 + 7*g**2\/2 + 2*g. What is the remainder when v(6) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 784 + 104414*x + 4*x**4 - 4*x**2 - 105170*x - 64*x**2 + 36*x**3.\nAnswer: 4*(x - 4)*(x - 1)*(x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*n - 6. Suppose -5*x = -3*x + n. Let k = 7 + x. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10988)\/(-201))\/(-164)*(1\/1)\/(2\/26)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2 + 11 - 10 - 4*b. Determine x(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - -63. Suppose 3*w = n*c + 109, 2*w - 81 = 3*c + 2*c. Suppose -4*d + 8 = -w. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203374, 203387, 203410, 203443?\nAnswer: 203486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/1)\/27)\/((-3)\/(-27))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/11 (b) 4\/51 (c) 440\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-2)*((-2)\/(-1))\/116 and 1\/9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - 16 - -139 - (24 + -4 + -2).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 5 - (-309)\/(-309)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 51. Let s = 275 - 409. Let h = s + 137. Solve -l = -5*g + h, 3*l - 5*g + 2 = x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:30 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870 - 1943 = -12*n - 809. Calculate the remainder when 594 is divided by n.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**8\/504 + y**7\/315 + y**6\/90 - y**5\/45 - y**4\/36 + y**3\/9 + 8*y**2. Factor u(z).\nAnswer: -2*(z - 1)**3*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000362701 to seven dps.\nAnswer: -0.0000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -63. Solve 0 = -p - 5*i - 11 + 1, g*i - 17 = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 6*o**2 - 11*o**2)*(-2*o**2 + 3*o**2 + 0*o**2) - 25*o**4 + 73*o**4 + 164*o**4.\nAnswer: 198*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -2 in descending order.\nAnswer: 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 97, -133 in increasing order.\nAnswer: -133, -11, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 240 = 163 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17.7, 2\/19, 15\/23 in descending order.\nAnswer: 17.7, 2, 15\/23, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 0.4, -2, -0.3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c**3 - 11*c + 10643. Let p(o) = -20*o**3 + 8*o - 10644. Let x(m) = -7*j(m) - 6*p(m). What is the first derivative of x(n) wrt n?\nAnswer: -60*n**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*d, -d = 4*l - 0*d - 9. Let x(c) = -l*c + 3*c + c. Let a(p) = 3*p**2. Calculate x(a(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 12. Let z = -58 + 61. Let w be n(z). Suppose -w*r + 19*r = 120. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/(-20)*15\/9 and 55\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12847.6 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13373, 26888, 40401, 53918, 67445, 80988?\n\"Answer: o**3 - 7*o**2 + 13529*o - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 45372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*a = -167*a - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -77*b + 1280. What is the greatest common divisor of 232 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c - 63*c = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8877784.5 minutes in days?\nAnswer: 6165.128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - z**3 + 4*z**3)*(0 - 2*z + 0 + 1 - 1 - z + (0 - 3 + 5)*(-1 - z + 1) - 4*z + 4*z + 2*z)*(-370 + 370 + 48*z).\nAnswer: -144*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 8.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122891 - -245815\/2. Suppose -3*y + 153 = -0*y. Suppose 5*m - 34 - y = 0. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 3*j + 50. Let g be h(-6). Let z be g\/8*(-10)\/(-10). Which is greater: z or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 84?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -258608487*v**4 + 60*v**2 - 11*v - 25783 wrt v?\nAnswer: -6206603688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 39 - 13 = 0. Let b(v) = v**3 - 14*v**2 + 15*v - 6. Let l be b(u). Suppose -5*f + 11 = -39. What is the greatest common factor of f and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 1. Let u(p) = -2*p**2 + 2*p - 1. Let f be u(1). Let y be l(f). Is 0 - -52 - 2\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**3\/6 + 11*k**2\/2 + 2*k. Let a be 0*(4 - 2 - 1). Is z(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -50*p**2 - 150. Let a(f) = 1. Suppose 2*b - 8 = -10. Let s(k) = b*g(k) - 150*a(k). Let c(y) = y. Give c(s(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (22 - 44 - 29) - -46.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 - 3152*n + 12672 = 0. Calculate n.\nAnswer: -792, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 143*r**2 - 260*r - 3010. Give s(141).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 4 + 0 + 4.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3873 is divided by 2005?\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*s + 17. Let o = 18000 + -18011. Let v(m) = -7*m**2 + 5*m - 4. Let q(y) = 4*y**2 - 3*y + 2. Give o*q(z) + s*v(z).\nAnswer: -2*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -5*x + 292. Suppose 3*w = 2 + 4. Suppose -b + x = -5*u, 0*b + 2*u - 28 = -w*b. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2 - 2*k - k - 2*k + 7 + 6*k**2. Let t(c) = -c + 1. Let g(p) = -5*t(p) + x(p). Let d(o) = -27*o + 15*o + 14*o. Calculate g(d(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.393 to 1 decimal place.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s - 53. Let b be v(14). Suppose 7 = b*w - 5. Solve 4*n + 0 + 4 = w*y, 5 = -5*n - 5*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 4*l**2 - 2 - l - 3*l**2. Let c = 7 - 17. Let f(g) = g**3 + 10*g**2 - 2*g - 20. Let y be f(c). Calculate s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/82 and 77\/4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.06544 times -458\nAnswer: -487.97152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*g**2*j**3*m - 376581*g**2*m + 38*g*j**3 + 4*g*m + g - 2*j**3*m - 24*j**3 + 3*m wrt g?\nAnswer: 40*j**3*m - 753162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2014 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 + -6?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 24132*m + 410269. Calculate h(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 649?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 276 + 98. Let y = 96 + q. Calculate the remainder when 4\/(-20) - y\/10 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/25333 and -1\/18424?\nAnswer: 202664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -1) + 10 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 32 and -23?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20752*q**4 + 3*q**3 - 455240*q**2 wrt q.\nAnswer: -498048*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 + 12*g**4 + 4*g**3 - 28*g**2 + 16 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (569940\/3036 - 188) + 2898\/(-22).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-64)\/(-10))\/(1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 16 + 91*x**3 - x**2 - 89*x**3 + 0*x**2 as v + d*x**2 + n*x + y*x**3 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-33))\/(3\/(-27)*3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/5913, -22\/7 in decreasing order.\nAnswer: 0.5, 2\/5913, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (530 + 1477 - 210)*(-2*z**2 - 2*z**2 + 5*z**2) as i*z + x + m*z**2 and give m.\nAnswer: 1797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 + 8 = 0. Solve c + 5 = -2*j + d, -2*d = 4*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -427*u**6\/15 - u**5\/10 + u**4\/6 + 973*u**3\/2 + u**2\/2 + 3438*u. What is the second derivative of a(v) wrt v?\nAnswer: -10248*v**2 - 12*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + x**3 + 163 - 5*x + 145*x**2 + 4*x - 166 in the form f*x + d*x**2 + b*x**3 + y and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 152 + 112 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.5 + 5.7. Let g(f) = f**3 + 5*f**2 + f + 2. Let y be g(-5). Which is the closest to -0.1? (a) l (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2588.069 kilograms in micrograms?\nAnswer: 2588069000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(238\/51).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -123*k + 3. Let b be p(3). Let g be 4\/14 - b\/42. Suppose 10*r = g*r. Solve 3*d - 7*d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 6*v**2 + 11*v - 43. What is l(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 6. Let s be l(-6). Let j(h) = -3*h. Let y be j(-4). Let i = -8 + y. Sort 2, s, i in increasing order.\nAnswer: s, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/10))\/m**(8\/5))**(-1\/50)*(m\/((m*m\/(m**(-2)\/m))\/m))**32*m**(1\/4)\/(m*m*m*m**(-1\/11)) assuming m is positive.\nAnswer: m**(-135637\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3038984.\nAnswer: 2, 13, 29221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxoooloxomxloxl. Give prob of picking 1 o and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9*-3 - -1. Let f be (3\/u)\/(4\/36). Solve l - 4*l = f, l + 6 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 + 9 - 19 + 7 in the form o + a*f + s*f**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 36*u - 231. Let x be t(-28). Let o(c) = -6*c**3 + 4*c**2 - 7*c + 3. Let q(s) = 3*s**3 - 2*s**2 + 4*s - 2. Give x*q(z) - 4*o(z).\nAnswer: 3*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7 + 1. Let m be 4\/(-4) - 4*-4. Let f = -9 + m. Solve x*h + 5*o = -6, 6 = 2*h - 2*o - f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -4, 5, 0.011, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 59\/4 (c) 1\/14 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139342803*h - 54986431 wrt h.\nAnswer: -139342803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (348 + 2)*((-84)\/7)\/(-12)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 357936.2 nanometers?\nAnswer: 0.03579362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10922 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - 62. Let z = a + -53. Solve 0 = -o + x - 5, 2*o + 3*x = 4 + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*s = 33, 0 = -p - 4*s + 5*s + 13. Suppose 5*x + 5*r = 25, -3*r = x - 0*x + 3. Calculate the smallest common multiple of x and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spssppipsisp. What is prob of sequence isp?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19294181.\nAnswer: 19294181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 10:18 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -7. Let u be (5 + -1)\/(-2) + a. Calculate the greatest common divisor of 60 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.16 + -1.46. Let f be (2\/38)\/(8\/(-56)). Let h = -16\/95 - f. Which is the biggest value? (a) h (b) u (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -24 (c) -3.5 (d) 2 (e) 179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254020 is divided by 76.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**3 + v**2)*(41*v**2 + 33*v**2 - 49*v**2).\nAnswer: 25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 - 8 = 3*x, 0 = -5*b - 5*x - 35. Suppose -3*i - 5*j = 20, 3*i + i + 2*j = -8. Let w be (1 + i)*155\/(-31). Sort w, -15, b.\nAnswer: -15, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:57 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24481220 is divided by 1883170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 3*m**2. Let c be y(-3). Let z(i) = -i. Let n(u) = 2*u - 33. Let d be n(15). Let h be z(d). Solve c*b = -b - h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2703 (b) 93.6 (c) 3\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 666*l + 7. Let m be b(1). Let o = m - 450. Is 46 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*z + 2*l, 1 = 2*l - 1. Suppose -d + 9 = 5*i, 4*d + i + 6 - 23 = z. Suppose -2*v + 3*v = d. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -46176*b**2 + b + 1. Let f(k) = -12*k. Calculate u(f(l)).\nAnswer: -6649344*l**2 - 12*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 339 = -148*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 6 + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2. Let u(b) = -346*b. Calculate h(u(t)).\nAnswer: 359148*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.7 + -3.7. Let r = s - 15. What is the nearest to -2\/3 in -2\/7, r, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458345 and 2146335.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000207547 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 7) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c\/(c*c*(c\/(c\/c**7))\/c*c)))**(-5\/7)*(c\/(c\/((c*c**(5\/2)*c)\/c))*c**(-5))**(18\/5) assuming c is positive.\nAnswer: c**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310 (base 4) in base 11?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -948, -2 in descending order.\nAnswer: 5, 0, -2, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert c151a5 (base 13) to base 16.\nAnswer: 449806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8252 * 0.07275\nAnswer: -600.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from rgfjrddg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**8\/4 - 5*u**4\/4 - 11*u. Find the third derivative of x(o) wrt o.\nAnswer: 1680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15457 and 754?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3\/(9\/258) - 185\/(-37) and 35?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*h + 0 + 3*h - 6*h - 10*h + (4 - 2 - 3)*(4*h - 4*h + 2*h).\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8774.801t to micrograms.\nAnswer: 8774801000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*v - v + 262*m - 265*m, v - 13*m + 114 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5*y - 3. Let a be r(6). Let q be a*((-14)\/6 + 3). Suppose 3*i = 4*u - 2898 - 251, -4*i + 1602 = q*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5943965848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - v**2 - 9306*v**3 - 9656*v**3.\nAnswer: -18962*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 7) to base 4\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + (-1 - -8) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**2*y**2 + 170*f**2 - 3*f*y + 2095*y**2 + 49*y with respect to f.\nAnswer: -12*f*y**2 + 340*f - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose -t + 3 = f, -2*o + 29 = -t - 0*t. Calculate the remainder when 45 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuvz when four letters picked without replacement from uuzzzkzvuv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 32, 48?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 57084 = 71*v - 64655. Calculate the greatest common divisor of v and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s + 2. Let k = -42 + 41. Let m(q) = -5*q - 1. Let f(u) = k*w(u) + m(u). Let g(y) = 6*y + 1. Give 2*f(b) + 7*g(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47625 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-120)\/12))\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6130161 to the power of 1\/2, to the nearest integer?\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 3*q + 6*q + (5*q - 4*q - 3*q)*(0 - 3 - 1).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 1364*q - 167382. What is w(113)?\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:55 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 5 (c) 60591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*q - 6 = 2*q, 12 = -2*k - 4*q. Let t(d) = d - 3. Let f be t(5). Let v be f\/4*(36 + k). Calculate the greatest common factor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9148591.3 rounded to the nearest ten thousand?\nAnswer: -9150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*f - 3*m, -10*m + 187 = 7*f + 208 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2267 + 2265.6. Which is the second biggest value? (a) q (b) 2 (c) -2\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138476 is divided by 9567.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 101, -1058.\nAnswer: -1058, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1614*q**2. Let r(i) be the third derivative of -i**5\/60 + 3*i**2 - 152*i. Give t(r(a)).\nAnswer: 1614*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w**2 - 2*w + (-w + w - w)*(5*w - 2*w - w) - 109*w - 68*w**2 + 109*w)*(-3 - 2*w + 3)*(-3 - 5 + 14).\nAnswer: 876*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o + 3*o)*(-1 - 1 + 1 + (3 - 1 + 0)*(4 - 3 - 3) - 3 + 6 - 2).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91474530?\nAnswer: 2, 3, 5, 7, 435593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + sqrt(19) + 2)*3.\nAnswer: 6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80926 is divided by 2160?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47921073 to the nearest integer?\nAnswer: 6923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.53 times -13416\nAnswer: 7110.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 28 = -i. What is the smallest common multiple of i and (-5 - -20)*(0 + 1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 + 249. What is the closest to 2\/3 in -1, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037551109 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 15*b**2 + 8*b - 23. Let i(r) = r**3 + r**2 - r. Let m(c) = -i(c) + n(c). List the prime factors of m(-11).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4410*v**3 - 56*v + 56. Let j(f) = -401*f**3 - 5*f + 5. Determine -56*j(g) + 5*x(g).\nAnswer: 406*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3338286701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmn when three letters picked without replacement from {k: 2, m: 3, n: 4, o: 7, l: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 132*r - 2601844 = -33*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + 34*c**2 + 45*c + 4. Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnxx when four letters picked without replacement from nxxnnnnx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2037 and -420.3?\nAnswer: -85.61511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7 + 19 = 0. Let t be (2\/d)\/(1\/(-3)). Sort 5, t, 7 in descending order.\nAnswer: 7, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 12*f + 2. Determine p(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -3, -24 in decreasing order.\nAnswer: 2, -0.2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.989 + -0.011. Let y = 85\/2 - 41. Which is the second biggest value? (a) 5 (b) y (c) 13 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-44)\/6*32220\/(-120) + 5.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7286, 14543, 21802, 29063?\n\"Answer: k**2 + 7254*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -125 (c) 1\/4 (d) 3 (e) -0.150632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let z be r(5). Is z equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*n + 1, -556*x + 548*x + 5*n = -19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2\/13 - 300*g\/13 - 5418\/13 = 0.\nAnswer: -129, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.35 - 0.05. Let c = 6757\/7 + -965. Let q = 4 + -4.3. Sort q, p, c.\nAnswer: q, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.64763ml to litres.\nAnswer: 0.06064763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -20. Solve 0 = -g*d - d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/13 + 5572*v**4\/13 - 3903028*v**3\/13 + 30696944*v**2\/13 + 119495670*v\/13 + 84890124\/13 = 0. Calculate v.\nAnswer: -2, -1, 11, 1389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 10.77 and 0.129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boukbub. What is prob of sequence ou?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 262 - -2031?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j + 4*t, -3*j + 4*j + 1 = -4*t. Which is the nearest to -0.16? (a) -1\/3 (b) j (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/5 - 5. Let f = -10.6 - -10.6. Which is the fourth biggest value? (a) f (b) t (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*y + 33, 5*h + 8 - 47 = -4*y. Suppose -g = -0*v + 4*v - y, -12 = -3*v + 3*g. Find the second derivative of 2*q - 4*q + 3*q - v*q**4 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-21.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 4*r - 2*r**3 - 9*r - 3*r**4 + 7*r - 4*r**4 to the form h + x*r**3 + a*r + d*r**2 + i*r**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 192. Let r = -71 - q. Factor r*h**2 + 0 + 169\/4*h**3 + 36*h**5 + h + 66*h**4.\nAnswer: h*(3*h + 2)**2*(4*h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2098*m = -2100*m + 19006. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9, 40, 123, 240, 391, 576, 795?\n\"Answer: 17*x**2 - 2*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 266, 802, 1794, 3242, 5146, 7506?\n\"Answer: 228*w**2 - 148*w + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.45 - -2.55. Let y = -7496790.9999992 + 7496795. Let x = o - y. What is x rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 194702*j**5\/3 + 2*j**2. Let f be d(-1). Suppose -10705960 = -2*k + f. What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74.6, 5, -1\/2, 2\/7, 1\/3, 7 in descending order.\nAnswer: 7, 5, 1\/3, 2\/7, -1\/2, -74.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9903 is divided by 779.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 4*s**2 - 8*s - 11. What is i(7)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8297.\nAnswer: 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 11*v**2 + 6*v + 24. Give r(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-231)\/(-228) - 1). Suppose -35*t + f = -31*t. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 0*g**2 - 6*g**2 + 9*g**2 to j*g + c + x*g**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 + 2*f - 2. Calculate w(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-80)*-1*1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5)*-1 - -6*(sqrt(17) - sqrt(170)\/sqrt(10))**2.\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1945.98 and 42.239.\nAnswer: 1988.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 663*c + 25192. Let b be w(-38). Suppose 2*q - 2 + 14 = -x, 0 = -2*x + 4*q - 24. Put b, 1, 4, x in descending order.\nAnswer: 4, 1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2535*g - 2621*g + 3010 = 0 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2. Let z be x(-6). Suppose -1 = -4*q - 5*d + 5, 8 = 3*q + 2*d. Suppose -q*v = -3*y + 1, 5*y - 7 = 4*y - 2*v. Put z, 4, y in ascending order.\nAnswer: z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/(6\/16). Suppose -j*i = -3*i - 28. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/10)\/((-18)\/20). Let j = -0.1769 + -2.8231. Which is the fourth smallest value? (a) j (b) -1\/10 (c) y (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + o + 91 = 0, 18 + 7 = 5*o. Calculate the greatest common factor of 1128 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*o + 10 - 5, o = 2*y - 2. Suppose -3 = 2*v - y. Let d = v + 5. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-1 - -3) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 1, l: 1, d: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16762 - 14803. Round n to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -29. Let w be 3\/(s\/4 + 3) + 420. Calculate the greatest common divisor of w and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**6 - k**4 + k**2 - 1. Let l(v) = -36*v**6 + 3*v**4 + 32*v**2 + 3. Let b(p) = -3*h(p) - l(p). Find the third derivative of b(t) wrt t.\nAnswer: 3960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -685174?\nAnswer: -685170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((x + 0*x + 0*x)*(0 + 1 + 0) + 2*x + x - x + (-x + 0*x + 2*x)*(-4 + 5 - 2) - 2*x + x - x + 3*x - 4*x + 3*x)*(-1 + 1 - 7) in the form k + w*x and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(64\/24)*-1. Suppose -220 = -n*i - 214. Calculate the lowest common multiple of 952 and i.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1476005, -1476007, -1476009, -1476011, -1476013?\nAnswer: -1476015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by -3.\nAnswer: 122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 450.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.1862 (c) -2 (d) 271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*k + 153*k = -50. Let d(h) = 32*h**2 - 3*h - 2. Give d(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q - 2. Let p be a(2). What is the greatest common divisor of p and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52910407 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 236c?\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -401792503*v**4 + 32304026*v**2 + 4*v wrt v?\nAnswer: -9643020072*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**5 + w**5 + w**5 + (5*w - w**2 - 5*w)*(-3*w**3 + 0*w**3 + w**3) + 2*w**5 + 2*w**5 - 2*w**5)*(1 + 5 - 2 + (-3 + 3 + 1)*(-5 + 2 + 1) + 2 + 2 - 2).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2670?\nAnswer: 1\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z - 2*z - 2*z. Let q(p) be the second derivative of p**6\/360 + p**3\/3 - 2*p. Let s(h) be the second derivative of q(h). Give s(f(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 + -263. Suppose 209 = 4*d + 29. What is the greatest common factor of k and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 203*c**2 - 2*c - 18. Let o(g) = -101*g**2 + g + 8. Give -4*h(s) - 9*o(s).\nAnswer: 97*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2366861 is divided by 447?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {g: 14, k: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -569*s**4 - 8*s - 11?\nAnswer: -6828*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:25 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*v*z + 2*q*v*z - 37*q*z + 237*v*z wrt q.\nAnswer: -2*q*v*z + 2*v*z - 37*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c. Suppose 0 = 3*r - 5*j - 1, 5*r - 7 = -5*j + 8. Let g = r + -6. Let m be x(g). Solve m + 2 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 188 = 28. Let f = 41 + g. Which is the closest to -0.1? (a) 5 (b) f (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(1*sqrt(12)) - sqrt(180)\/sqrt(4))*2)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1103952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/201? (a) 0 (b) 5 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62017419 by 20672473.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10272, 10064, 9858, 9654, 9452, 9252, 9054?\nAnswer: 8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 - 2*g + 26. Does 7 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 (base 10) in base 13?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -15*m - 1. Let k be g(-1). What is the highest common divisor of k and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18509707 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 636770025 rounded to the nearest 100000?\nAnswer: 636800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {b: 2, q: 8}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -6 (c) -2\/3 (d) -2 (e) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = q + 1, 3*q + 2*i - 52 = 0. Solve -10 = -2*f - q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12714, -1\/4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - l - 183 = 0, -3*l = 4*t - 8*l - 195. Suppose 4*h - t = 51. Let k = h + -18. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 - 64827*d**4 + 324152*d**3 - 518652*d**2 + 259328*d = 0.\nAnswer: -64832, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 495?\nAnswer: 494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 298*l**2 - 1797*l - 2. Determine y(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 3*a**4 + 2*a**2 + 0*a**2 + (-1 - 2*a**3 + 1)*(2*a + a - 2*a).\nAnswer: -a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10187 - -101?\nAnswer: -10086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11.4 (b) 6 (c) 249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k - 1. Let x(g) = -4454 - 4450 + 8904 + 4*g. Determine x(u(f)).\nAnswer: 28*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 - 2*r - 3. Let b be u(-2). Let w(a) = a**3 + 32*a**2 - 3*a - 93. Let f be w(-32). What is the greatest common factor of b and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010101201 (base 3) in base 13?\nAnswer: 36bcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/5 (b) 0.5 (c) -8 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + (sqrt(228) - -5*(2*sqrt(228) - sqrt(228))) - sqrt(228))\/sqrt(6))\/((sqrt(896) + 2*sqrt(896))\/sqrt(7)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -0*o - 5*k - 241, -9*o + 17*k - 20*k = 123 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 16\/6)\/(95\/114). Solve -f*j + 5 = t, -5*j - 2 = -t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 1044.\nAnswer: 0, 1, 1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbttbtbbztbtbbbttbbt. Give prob of picking 2 t.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7088 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 greater than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -333*w + 2850. What is s(10)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*d. Suppose d = -5*f - 3 + 28. Suppose 3*o - 13 - 2 = 0. Solve -4*g + 15 = f*c, c = 4*c - o*g - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-2\/23))**16*((y**(-2\/3)*y*y)**(-7\/4))**(4\/9) assuming y is positive.\nAnswer: y**(-212\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85949\/12 + -7154. Let l = 264 + -1501\/6. Calculate the common denominator of l and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 40382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16174711, -32349423, -48524135, -64698847, -80873559?\n\"Answer: -16174712*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 27. Let h be w(30). Factor -15*n**3 - 28*n**2 - 46*n**4 + h*n**3 + 26*n**4.\nAnswer: -4*n**2*(n - 1)*(5*n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0*b**2 - 6*b + b**2 + 7 - 2. Suppose 2*u - 14 = -2*i, -6*u - 10 = -i - 10*u. Calculate t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15752 - -14179. Let f be (-275 - 1) + 0\/2. Let k = f - x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -11*x + 15620. Suppose -16*z + 21*z - x = 0. Let r = z + -163. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 5832*l**2 - 17475*l + 11646.\nAnswer: -3*(l - 1941)*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229431 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10131765.5 - -9?\nAnswer: -10131756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 15}. Give prob of sequence ii.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 3893.\nAnswer: 77860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.001958 - 42. Round j to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 1 w when three letters picked without replacement from {f: 2, g: 1, w: 1, v: 2, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34805 is divided by 17367.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -3 (b) -2\/5 (c) 1.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 53. Let a be r(-12). Suppose 0 = a*d - 47*d + 18. Solve 0 = 5*i - s - 2*s + 8, 4*i - d*s + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38848562.\nAnswer: 2, 19424281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1186109 (base 11) to base 3.\nAnswer: -10212112211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*r**3 + 12*r - 10*r - 2*r + 915*r**3 - 294*r**3.\nAnswer: 1385*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 478, 9.\nAnswer: 5, 6, 9, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19675 and 703578.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 8*l - 5. Let a be z(-7). Suppose -1 = a*k - 5*o - 5, 0 = k + 3*o + 20. Let u = k + 15. Which is smaller: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 v, and 1 b when four letters picked without replacement from bbvtbvbbtv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 294\/41239 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*t = -0*f + 11, -3*t - 3 = 0. Let l be (-2)\/(f\/3) - -2. Let b = 11 - l. What is b rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172*a**3*q**4 - 1009*a**3*q**2 + 4*a**3*q - 6014*a**3 + 2*a*q wrt q?\nAnswer: -2064*a**3*q**2 - 2018*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-10 + -2))*(-320)\/20800\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6 + 0*j + 3 + 0 - 8*j. What are the prime factors of w(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*w**3 + 32*w**3 - 3*w**3)*(-7*w + 0*w + w).\nAnswer: -426*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70135.821ms in hours?\nAnswer: 0.0194821725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occtto. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 606, -1, -16 in descending order.\nAnswer: 606, 4, 3, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 286*p**3 - 7.\nAnswer: -286*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in 5, 0.4, 1\/9, -2\/11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12602906 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 11:46 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 2 - 5 - 2. Let r be (-46)\/8 + 1\/(-4). Let t(g) be the first derivative of -7*g**2\/2 + 6*g - 4. Give r*i(b) - 5*t(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w. Let h be z(-1). Let q(b) = -b**3 + b**2 + 2*b + 1. Let m be q(2). Let l be 44\/m + (13 - 15). Calculate the highest common factor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15068520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9771125 and 966375?\nAnswer: 87940125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**2\/4 + 20433*d\/4 + 4087\/2 = 0.\nAnswer: -2\/5, 4087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 - 197*o**2 + 393*o\/2.\nAnswer: o*(o - 393)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6022*q - 3302. Let i(v) = 3006*v - 1651. Let o(r) = -3*d(r) + 5*i(r). What is the first derivative of o(k) wrt k?\nAnswer: -3036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)*j\/j**(3\/7)*(j*j*j\/(j*j\/j**(1\/4)*j)*j)**(-2\/19) assuming j is positive.\nAnswer: j**(-2809\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, 0, -0.2, -7\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/16 - (-1 - 3\/(-12)). Put u, -2, -0.31, -0.2 in descending order.\nAnswer: -0.2, -0.31, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 12035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34041.\nAnswer: 3, 7, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, p: 1, g: 7, u: 1, y: 3, s: 2}. What is prob of picking 1 p and 1 e?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17931515 bigger than 17931493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15))**36 assuming x is positive.\nAnswer: x**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14054.8 - -14055. What is the closest to 0.4 in 8\/9, -5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069 divided by 1213464?\nAnswer: -1069\/1213464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2349*p**2 + 83*p - 5. Let t(d) = 470*d**2 + 16*d - 1. Give 31*t(u) - 6*z(u).\nAnswer: 476*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from iswywwl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907 (base 12) in base 11?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501744450?\nAnswer: 2, 3, 5, 1297, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-5 - -27 - ((-14 - -33) + -4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -47*o**2 - 1455*o + 62. Calculate t(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1640 and 10480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7995.7 + -303562\nAnswer: -311557.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(175)*1 - ((1 + sqrt(175))*5 - sqrt(175))**2) + -4 + (-3*(sqrt(175) + -1))**2)*4.\nAnswer: -9976 - 2280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -35632, -4, 4 in decreasing order.\nAnswer: 4, 2, -4, -35632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-67952)\/32 - (-1 - (-1)\/(-2)). Let j = 77 - 1099. Let q = j - n. What is q rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222.66762 months to years.\nAnswer: 18.555635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h. Let l(o) be the first derivative of -40*o**3\/3 - 5*o**2\/2 - 114. Give l(v(u)).\nAnswer: -1440*u**2 + 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 403031505?\nAnswer: 403031432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*y + 25 = 0, j + 4*y - 20 = -3*j. Let h be j + -1 + 0 - 1195\/5. Round h to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 24679537?\nAnswer: -24679547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 188\/12*(4 + (-1 - 6)). Suppose -144 = -16*r + 19*r. Is r < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -8, 4\/7, -26?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -983311087.6 to the nearest ten thousand.\nAnswer: -983310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 107053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -8.7. Let l = f - -15. What is the closest to 2 in 2, -2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f - 150. Let l = f - -36. Let m = -35 - -57. What is the remainder when m is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 8. Let w(m) be the third derivative of 0*m - 1\/6*m**3 + 0 + m**2. Let r(x) = x - 3. Let k be r(2). Give k*f(i) + 6*w(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from dtddtbbdbdbdddbd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -217*q + 1077. What is x(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 0*i + i + (2 - 2 + 2*i)*(9 + 3 - 1)*(-9 - 68 - 39)*(-4 - 2 + 5).\nAnswer: 2553*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, x: 1, a: 2, r: 6, c: 4}. What is prob of sequence xmar?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (7 - 3)) + (-1 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -331, -1328, -2989, -5314?\n\"Answer: -332*p**2 - p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) - 45401\/20. Let q = -2265 - j. Let z = 1\/4949 + -539447\/29694. Find the common denominator of q and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y + y + 0*y)*(3 + 3 - 4) - y + 4*y - 2*y)*(15 + 4 - 4).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 5, -22\/9, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 7*g. Let z be t(-5). Let d be (-2)\/z + 156\/(-255). What is the nearest to -1 in -0.3, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55448.39 micrograms to grams.\nAnswer: 0.05544839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*i = 212*i - 172. What is the nearest to -40 in -4, -4\/5, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*z**2 + c**2*z + 2665*c*z**2 + 5930*c*z - 3*z**2 + 3*z wrt z.\nAnswer: -4*c**2 + 5330*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 minutes before 12:34 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 604 + -601. What is the closest to -1\/3 in b, -3, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158604 (base 14) in base 13?\nAnswer: 2049ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 + 7.14. Let f = -6.6 + w. Let o be (-2)\/(-5) + 16\/10. Sort -2\/3, o, f in ascending order.\nAnswer: -2\/3, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2610590 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, 2\/9, 0.15, 3, -61?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1788090 = -33*p - 81*p. List the prime factors of p.\nAnswer: 5, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - -2. Suppose d*b = 2*b + 40. Calculate the least common multiple of 1 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from jjjug.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 14*f**2 - 13*f + 3. Let s be t(13). Suppose 0 = -u - 2*u - 12. Sort -5, s, u.\nAnswer: -5, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 319*h**3 - h**2 + 2*h - 1. Let i be z(1). Let u = 75 - 72. Suppose u*y = 263 + i. List the prime factors of y.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7)**(2\/43)\/((a*a**(17\/5)*a)\/a**(-2\/27)) assuming a is positive.\nAnswer: a**(-29887\/5805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18*1*18\/(-3). Suppose u - 64 = -b, 2*b - 5*u + 3*u = d. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 663300113?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.849448 rounded to 3 dps?\nAnswer: 1.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**47*y**(-25\/4)*y)\/(y**34*y)**(-50\/3) assuming y is positive.\nAnswer: y**(7501\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-90)\/55 - 108\/(-396). Let o = -1714\/13 - -132. Let w = 2867\/13 - 221. What is the closest to 1\/3 in a, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 569294 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 2899593.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 9, 5, -105, -1 in decreasing order.\nAnswer: 9, 5, -1, -12, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 70. Let t = p - -2. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45311357.\nAnswer: 7, 13, 23, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 48.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 5106126*c**2 - 2172705121188*c - 4345430666904.\nAnswer: -3*(c - 851022)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 55218067 and 55218067 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5)\/y)\/y)**(-2\/11)*(y**(2\/5))**(-4) assuming y is positive.\nAnswer: y**(-82\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.61 times -3.098215\nAnswer: -8.08634115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1809392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202222020 - -2112120?\nAnswer: 10212111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is the hundreds digit of 1458109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 5. Let z be k(-2). Suppose 11*c + z = 12*c. Let x = -61\/6 + 179\/18. What is the nearest to c in 1\/5, x, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006981606 to 7 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 2*t - 3. Let a be r(3). Suppose 0 = -4*i - 5*z + a*z + 32, -5*i = -4*z - 66. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -59 - (7 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 8*v - 41. Let i be y(-5). Let l(h) = 7*h**2 - 10*h + 8. Let n(u) = -13*u**2 + 19*u - 15. What is i*n(j) - 11*l(j)?\nAnswer: j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccsjsn. Give prob of sequence cn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 21. Let d be a(12). Solve -d*h = -2*h - 3*z - 3, 3*h - 4*z - 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66805429837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2. Let l(o) = 146 + 18*o**2 - 146 - 5*o**2. Calculate n(l(w)).\nAnswer: 1183*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1419\/(-528) - 20\/(-8). What is the closest to y in -3, -0.1, -2\/9, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -81 + 5*j**3 + 2*j**2 - 63 - 6*j + j**2 + 144. Let v(l) = -l**3 + l. Give -d(t) - 6*v(t).\nAnswer: t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1480167 times 0.5\nAnswer: 0.07400835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50994)\/(-99) - 2\/(-2). Let n be 3 - 3 - (-1 + -510). Let y = k - n. Calculate the common denominator of y and 32\/101.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -3. Suppose 4*b - 15 + p = 0. Find the second derivative of -6*f**2 - b*f**2 + 9*f**2 - 2*f**4 - 2*f wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7518 times -0.0971\nAnswer: -0.55849978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 100160?\nAnswer: 300480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87068*3\/15*(423\/36 - 8).\nAnswer: 3, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from ttmttpajpppmtetpemmm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 4:47 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 610 or 638?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 549*w**2 - 263*w + 20. Let r be f(-38). What is r rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 8, -1 in increasing order.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 1 = r*d - 11. Solve u + 25 = d*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 + 3*q + 2. Suppose x + 2 - 3 = 0. Let o be 2 + -3 - x - -5. Let w be p(o). Solve -7 = -w*j - 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43242 and 0.4?\nAnswer: 17296.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*f**3 - 36524*f + 36524*f + 297*f**3.\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7610 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11110030110 (base 4) to base 11\nAnswer: -8719a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g**3 - 1)*((-4 - 2 + 4)*(40 - 40 + 8*g) + (1 + 2 - 5)*(-141*g - 148*g + 271*g)).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4087355l?\nAnswer: 408.7355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637 (base 13) in base 7?\nAnswer: 105222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/29202 and -29\/1054?\nAnswer: 496434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/21)*t)\/t)**(-1\/7)\/((t\/(t\/(t*t\/(t*t\/((t\/(t*t**(1\/15)*t))\/t*t))*t)*t))\/(t\/t**7)) assuming t is positive.\nAnswer: t**(-1212\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 23*g - 144. What is y(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.373561201 rounded to three decimal places?\nAnswer: -1.374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 12002308096 - 12002308096 - 3*h**3 + 4*h**3.\nAnswer: h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 3:53 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Let i = 474 - 462. Solve -4 = -3*o + d*r, 2*r = -o - 4*o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.3867 to zero decimal places.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 - 12*j**2 - 18*j. Let y be r(-2). Is y > 184\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 + 5 + 2*a**4 - 2*a**2 + 2 + a**3 in the form t*a**4 + n + j*a + q*a**2 + g*a**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f**2 - 3*f - 3. Suppose -2*x + 36 = 7*x. What is the hundreds digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10349 is divided by 463.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2402*v + 21579. Determine c(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 3*a. Let b(y) = -1091*y. What is b(w(d))?\nAnswer: 5455*d**2 + 3273*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1c189 (base 15) to base 7\nAnswer: 530463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 470*o**5 - 443*o**2 - o wrt o.\nAnswer: 28200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.055 (b) -85 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1344675 by 25.\nAnswer: 53787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -8?\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (72884\/(-203034))\/((-14)\/(-54))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**3 + 4 + 0*x + 9*x**2 + 0*x**5 + 0*x**4 + 3\/2*x**6. Find the second derivative of u(c) wrt c.\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1582)\/12 - (-3)\/(-18). Let d be ((-4)\/30)\/(q\/7128). Solve -66\/5*r - 2*r**3 + d - 56\/5*r**2 = 0 for r.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h = -64*h + 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - u**3 + 2*u**3 + 2*u**3 - u + u + u**3 + 2 - 2 + (-3*u**2 + 3*u**2 - 2*u**2)*(-2*u + 4 - 4) - 2 + 2 + u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/1034 and -39\/35?\nAnswer: 36190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16388 is divided by 5459.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -9. Let i = -87 + 91. Suppose -17 = 3*d - 4*k, -i = -k - 2. Is d equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let l(b) = -b + 2. Let p(s) = 5*l(s) + 6*n(s). Suppose -4*k - 38 = 3*u, 90*u + 30 = -k + 79*u. Calculate p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2. Let w = 19 - 11. Let s(q) = 14*q**2. Let n(k) = w*r(k) - 3*s(k). Let x(h) be the second derivative of h**4\/6 + h. What is n(x(c))?\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/(-10)*8\/12. Let n be (l\/(-9))\/(10\/(-30)). What is the closest to -1 in 2\/3, n, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*s + 37416 - 37236, -2*f - 5*s + 106 = -0*s for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 38*k + 36*k + 28 = -14, 0 = -5*k + 55 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -2\/7, -0.11, 1, -0.047, -11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*h + 12 = 6*h, -l = 4*h - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4923 (base 10) to base 9.\nAnswer: -6670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 10*v**5 + 45*v**4 + 45*v**3 - 40*v**2 - 60*v = 0.\nAnswer: -2, -3\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 9 = -2*p, -4*p - 3 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143 or -18.8?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/3 - 52*i**4 - 1712*i**3\/3 - 1104*i**2 + 1728*i = 0. What is i?\nAnswer: -18, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/6*3\/(-10). Let d be (-1 + (-3)\/12 + 1)*-6. What is the nearest to 0.2 in d, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 503183850 by -15.\nAnswer: -33545590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 58*g + 42*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/(i*i**0*i))\/(i**(2\/3))**(1\/9) assuming i is positive.\nAnswer: i**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/75 - 5*u**4\/6 + 40*u**3\/3 + 2913*u**2. Factor i(m).\nAnswer: 4*(m - 20)*(m - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {g: 2, d: 11, a: 2, c: 1, q: 1, w: 1}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 336 = 276. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 - 36*t - 16. What is s(-15)?\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 310*k**2 - 157*k**2 + 2*k**3 - 154*k**2 - 205*k - k**3 - 5*k**3 - 3*k**3 + (-2 + k**2 + 2)*(2*k + 2*k - 6*k).\nAnswer: -9*k**3 - k**2 - 205*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.925 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -122, -118, -112, -104, -94?\n\"Answer: c**2 + c - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-1) - (20 + -21))\/(-2). Let q be 28\/6 + -4 + (-14)\/3. What is the nearest to 1\/3 in q, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(176) - (sqrt(176)*1)**2).\nAnswer: -352 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, q: 2, r: 1, f: 9}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69326.\nAnswer: 2, 17, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)\/x*(x**(-7)*x)\/x)\/(x*x**3*x*x\/x**(-2)) assuming x is positive.\nAnswer: x**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1 - (sqrt(125) + sqrt(125)*-2 + 1))*-4.\nAnswer: -44*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2746282 and 39270.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - s**2 - s + 2. Let w be p(0). Suppose -w*z = z. Factor z*n + 1\/3*n**3 - 1\/3*n**2 + 0.\nAnswer: n**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 4*b - 3*b. Let k = 11 + -7. What are the prime factors of y(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*o - 6 + 19, 4*o = -2*d + 18. Suppose 4*m - 8 + 4 = 0. Let f be (1 - 0)*m*11. Calculate the highest common factor of f and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 4*w - 5. Let f be n(0). Let k(i) = -4*i**3 + 4*i. Suppose 3*g - 3 - 9 = 0. Let v(c) = -3*c**3 + 3*c. What is f*v(z) + g*k(z)?\nAnswer: -z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.4 and 8005?\nAnswer: 35222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 22. Let g = -9.07 + s. What is g rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25049 is divided by 8340.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 + -1212211101?\nAnswer: -1212212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:28 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24578537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 2*q**2 - 2*q - 1. Let z be c(-2). Suppose -2*m + 20 = 2*i, z*i - 4 = -m + 6. What is the lowest common multiple of m and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(72)\/(sqrt(6)\/sqrt(2)))\/sqrt(768).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1489, 5742, 13311, 24202, 38421, 55974, 76867, 101106?\nAnswer: 128697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14716.4*-1.\nAnswer: 14716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/23)\/y)\/y*y**4)**(-3\/10)*((y\/y**(2\/15))\/(y*y**(-5)))\/(y**(-2\/3)*y*y**(-1\/7)*y) assuming y is positive.\nAnswer: y**(2707\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 8. Let q be t(-6). Let s be (8\/(-20))\/((-2)\/q). Is 14 + s*3\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47304012 to the nearest integer?\nAnswer: 6878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 - 2 = 0. Let v(x) be the first derivative of -2\/3*x**3 + x**2 - y + 0*x. Find the second derivative of v(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -927 at least as big as -926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 165\nAnswer: 37\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 8:00 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 602.\nAnswer: 16856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164680 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83459 by 4.\nAnswer: 83459\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 2}. What is prob of sequence ypy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**2 - 169*b + 1958*b**3 + 2089*b**3 - 3753*b**3 wrt b?\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46*(-1644)\/(-6) + 2 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2*b - 2 + 4*b)*((-b - 3*b + b)*(1 - 6 + 4) + 2*b - 5*b - b) to the form y*b + v + f*b**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 326\/515771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138387, -138315, -138239, -138159, -138075, -137987, -137895?\n\"Answer: 2*h**2 + 66*h - 138455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1051, -1028, -979, -892, -755, -556?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110594835 + 55297453 - 5*r + 55297382.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 685c1 + -4?\nAnswer: 685bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1798, -6919, -15462, -27433, -42838?\nAnswer: -61683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51291 is divided by 25262?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 102, 101, 84, 45, -22?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 620, 942?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-140)*(-49)\/(-91))\/((-18)\/(-195)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16963769*x**5 + 34323581*x**2 wrt x.\nAnswer: 1017826140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15842240 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + p - 2*p - p**3 - 5*p + 5*p as z + j*p**2 + r*p**3 + i*p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 539254*g + 271742*g + 267512*g - 2*g**2 + 0*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 23. Determine h(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432959170 to the power of 1\/2, to the nearest integer?\nAnswer: 37854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.9744 + -23. Let l = z + 0.04. What is l rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d. Let q(n) = 2*n**3 + 2*n**2 - 3*n - 8. Give 3*f(p) - q(p).\nAnswer: p**3 - 2*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 23*u - 22. Let p be l(17). What is the second derivative of -p*h + 64*h**4 - 131*h**4 + 75*h**4 wrt h?\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16067266*c - 16067266*c - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvvvzzzzvvz. What is prob of picking 2 v and 1 z?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2127186932.\nAnswer: 2, 13, 457, 89513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + -4 - 1. Let u be h*1\/(-12) + 260\/(-16). Is 11 a factor of ((-263)\/(-4) - 4\/u)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from xtsxs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5567 * -36.28.\nAnswer: 201970.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**4 - x**2 + x. Let z(b) = 5*b**4 + 3*b**2 - 5*b. Let a(o) = 12*u(o) + 4*z(o). What is the second derivative of a(y) wrt y?\nAnswer: 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/(-18)*81\/6. Let j be 25\/72 - (-9)\/u. Which is the fourth smallest value? (a) -0.8 (b) 4\/3 (c) j (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/r)\/r**(1\/6)*r**(-1\/2)*(r\/r**(-2))\/r)**50 assuming r is positive.\nAnswer: r**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4224 and 788304?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 - (3\/5 + (-3960)\/4050).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16401979?\nAnswer: 11, 557, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + v + 114 - 114 + 11*v**2. Let i(y) = -9*y**2. Determine u(i(o)).\nAnswer: 891*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b0 + 7?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i - 171*i - 968 = 154*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 595?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -48 + (19 - 3 - 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/16 + -1)*-796. Let y = -160 + c. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240942 and 69607526.\nAnswer: 6178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*w**2 + 5*w**3 - 147*w**2 + 54*w + 33*w**2 + 33*w**2 + 38*w**2 to m*w + b*w**3 + x + n*w**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224434 times -2?\nAnswer: -4448868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 36. Let m(f) = 7*f - 10. Let y be m(u). Suppose 2*j - 2*b = 30, 0 = 3*j - 0*j + b - y. Calculate the remainder when 50 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*w - w**2 - 121*w + 2 - w**2 - 114*w - 205*w as k*w + m + s*w**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44676797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(16\/5)*j*j*j**(-10\/11)*j)\/(j\/j**(-21)*j*j**(3\/16)) assuming j is positive.\nAnswer: j**(-15749\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -7.5896544.\nAnswer: -5.5896544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**3 + 8*f**3 + 0*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:07 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, u: 2}. Give prob of picking 1 j and 1 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8703 divided by -38.\nAnswer: 8703\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 20 - 100 = 0. What is the greatest common factor of c and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 - 1)*(-11*i**2 + i**2 - i**2 + (5*i - 2*i - 2*i)*(5*i - 2*i - 2*i)) to the form n + k*i + m*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 544*n - 91*n - 2160 = -339*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - 350. Let a = m + 436.04. Let c = -18 - a. What is the nearest to -0.3 in 2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 507 (b) 14.92 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 5*c - 8*c - 8*c - 2 + 3*c + 9*c + 7*c - 3*c + 0*c - 1 + 1 + 2*c + (-2 - 2 + 2)*(2*c - 4*c + 3*c) - 7*c + 3*c + 2*c.\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-10\/9))\/g)\/g*g)\/(g*g\/((g\/(g\/((g*g*g**(-2\/13)*g)\/g)))\/g)*g) assuming g is positive.\nAnswer: g**(-122\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/8*(-20)\/(-5). Let u = 7 - -1. Solve -j*t = -t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 3, x: 3, c: 3, z: 2, v: 1}. What is prob of picking 1 i and 2 c?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 493 + 473 + 684*h**4 + 2*h - 964 + 2*h**2 in the form r*h + m*h**4 + f*h**2 + c*h**3 + x and give m.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18876\/17 - -1107. Let p be -5*42*18\/945. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4413 divided by -3\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1456450, -2912883, -4369312, -5825737, -7282158, -8738575?\n\"Answer: 2*s**2 - 1456439*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4544368*t**4 - 3185800.\nAnswer: 18177472*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11250 divided by -75?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -45*d**3 + 29*d**2 + 10*d + 249. Let s(f) = 30*f**3 - 19*f**2 - 6*f - 166. Let n(c) = 5*j(c) + 8*s(c). What is the second derivative of n(o) wrt o?\nAnswer: 90*o - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Let r = v - -4. Suppose 30 = -k + r*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37097 - -37132. What is the nearest to -2 in -4\/9, 6, m?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 14. Let c be v(9). Suppose -7 = -i - c. Solve z = -i + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1973 - 1?\nAnswer: 1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 9. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m - 7. Suppose 28 = 4*x + 2*k, 0 = 2*x - k - 0*k - 18. What is the remainder when x is divided by f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0552*-214\nAnswer: -11.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(-28) - (-321)\/12 and 101\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/(-6))\/((-1230)\/(-54) + -22). Solve u*r + 3*r = 48 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - (-20 - -27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*2\/5 + -2. Suppose 48 = -g*t - 4*t. What is the smallest common multiple of 1 and t\/2*30\/(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -119481254\nAnswer: 23896250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -403*b - 13648. Let d be (-5)\/(-1)*(-2 + 3). Suppose 3*i - 2*m = 28 - 2, -m = d*i - 39. What is the remainder when o(-34) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjgzz. Give prob of picking 3 j and 1 z.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -e?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 7*b**2 + 10*b + 2. Determine p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -232, -484, -960, -1732, -2872, -4452?\nAnswer: -6544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 9*w**2 + 6*w + 1. Let t be 18\/((-5)\/(20\/6)). Let q be -10 - t\/(-2 - -6). Is v(q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*6\/(-4). Suppose l*i = 2 - 0. Solve -y + 2*y = -3*q + i, 4*q = 5*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105487, 105629, 105773, 105919, 106067, 106217, 106369?\nAnswer: 106523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 955, 2163, 3439, 4819, 6339?\n\"Answer: 6*n**3 - 2*n**2 + 1172*n - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 123682587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 364935.\nAnswer: 2919480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from {z: 1, u: 2, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(-34) - 4\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.556705178 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/12550 and -12\/1955.\nAnswer: 4907050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:41 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose -m + a*r = -0*r - 5, -5*r + 1 = 2*m. Let j be -2 - (1 + -4) - -3. Solve m*t + j = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32375 and 370?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.95 + -40. Let j = t + 1. Let y = j - -0.95. Round y to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1 + 0) - -2. Let y = -653 + 1710. Let u = -1053 + y. Which is the nearest to 2? (a) x (b) u (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 6*v - 8. Let t(z) = z**3 + 2*z + 3. Let n(k) = 3*f(k) + 8*t(k). Let r(c) = 2*c**3 + 7*c - 4*c - c**3. Give -3*n(w) - 2*r(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 64, 123, 182, 241, 300?\n\"Answer: 59*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 20 = -18*g. Let h = g - 0. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*r - 80*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkkpkp. What is prob of picking 2 k and 2 p?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y**3 - 29*y**3 - 301967 + 301967.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43999376\/11 - 1719115735\/429. Let d = -7319 - c. Is d > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2320671, 4641342, 6962011, 9282678?\n\"Answer: -c**2 + 2320674*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211, 1726, 5845, 13870, 27103, 46846, 74401?\n\"Answer: 217*b**3 - 4*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 - 5*a**2 + 89*a + 3*a**2 + 57 + 42 + 43.\nAnswer: -2*a**2 + 89*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, o: 2, n: 5}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-2)\/(-16)*3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n - 1239 = 24*n. What is the remainder when n is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 6851.\nAnswer: 205530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1491129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554087 divided by 57.\nAnswer: -554087\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 327236*y - 838471*y + 5*y**2 + 1.\nAnswer: 5*y**2 - 511235*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4 + (26 - 11)\/(1870\/221 + -12).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntl when three letters picked without replacement from {v: 1, t: 3, n: 5, l: 1, k: 1, a: 3}?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**9*o**9\/o)\/(o*o\/(o*o*o*o**(-2\/27)*o*o*o)*o**(1\/8)) assuming o is positive.\nAnswer: o**(821\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*r - 1096*r**2 - 965*r + 552*r**2 + 544*r**2 + 101*r**3.\nAnswer: 101*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2535*w + 5066*w - 2529*w - 52 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from garqwqgrqqagggqr. Give prob of sequence rg.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 294*x - 20870. What is p(71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let f = -11 + 21. Let j = -8 + f. Solve 0 = -j*h - d + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (1 + 0) - 4) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -57, -63, -49, -9, 63, 173?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 182*d**4\/3 - 46*d**2 - 105*d. Let v(t) = 2*t. Give r(v(j)).\nAnswer: 2912*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Let n = -95 + 136. Let h = -39 + n. Let l(x) = 5*x + 8. Let i(p) = 2*p + 3. Let b(k) = 11*i(k) - 4*l(k). Give h*d(s) - b(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/20 + r**4\/6 + r**3\/6 + 3*r + 42. Factor g(y).\nAnswer: y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8340370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 18. Suppose w*v + 8*v - 648000 = 0. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9))\/(3 + 0). Let m = 7050 + -592169\/84. Let n = -1\/12 + m. Which is the closest to 2\/3? (a) n (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 2*y + 3. Suppose -5*s - s + 4*s = 0. Let c be d(s). Solve 3*a = -3*x - 2*x + 7, -c*a = -x + 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daaeeaeaedmakaaa. What is prob of sequence kd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 225 = -u - 0*u, -4*u = 4*z - 308. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-4))\/2)\/((-272)\/(-34))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, d: 1}. Give prob of picking 1 h and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/4 + 225*x**4\/2 + x**3\/4 - 225*x**2\/2 = 0. Calculate x.\nAnswer: -1, 0, 1, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -412672.4 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 20*n + 14. Let o(y) = y + 4. Let t be o(8). Suppose 2*q - 4*q - t = 0. Let z(r) = 5 + 19*r + 2*r**2 - r**2 - 12*r. What is q*x(d) + 17*z(d)?\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -28*g**4 + 3*g**2 - 23*g. Let v(s) = 84*s**4 - 8*s**2 + 69*s. Let n(w) = 8*c(w) + 3*v(w). What is the second derivative of n(x) wrt x?\nAnswer: 336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-5)\/(-1)*2\/((-50)\/5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v*v*(v*v**2*v)\/v)**(3\/32) assuming v is positive.\nAnswer: v**(21\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4587581 millennia?\nAnswer: 45.87581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, 10, 42, 110, 226, 402, 650?\n\"Answer: 2*n**3 - 6*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (3 - (10 - 21))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -2. Which is the closest to -1? (a) -0.2 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((a\/(a\/(a*a**(-2)*a)))\/a)\/a)\/a*a)\/a**(-1\/4))**35)**(-25) assuming a is positive.\nAnswer: a**(6125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 315, 474, 617, 738, 831, 890, 909?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*n**2 - 13*n**2 + 4 - 8 - 92*n**2 + 31*n**2.\nAnswer: -136*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(((sqrt(1584) + 0)*-3 - sqrt(1584)) + 4))**2.\nAnswer: -960*sqrt(11) + 101401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35424311?\nAnswer: 13, 17, 79, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33863.094 microseconds in hours?\nAnswer: 0.000009406415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6450305 to the nearest integer?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151289 is divided by 2428.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Suppose q = 2*t - 0 - 4. Suppose 6 = 3*j, -t*j + 26 = 3*g - 2. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/3500 and 73\/48.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6785672s to microseconds.\nAnswer: 678567.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -2, 5, 15 in increasing order.\nAnswer: -7, -5, -2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.1, -1.7, 0.4, -115, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -17 (c) 118.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11755447.8730351 - -11756187.873. Let x = -1.699 + 741.699. Let o = x - n. What is o rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/6 + (-2)\/3. Let o = 535 + -530. Solve o*p = 22 + s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(0 + 2 - 3)*(5*b - 5*b + 6*b) as s*b + o and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 3 = -6*h. Suppose 0 = -2*x + 12 - h. Find the common denominator of x\/((-30)\/(-146))*(-5)\/(-14) and -43\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -463 + -4?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - (-1 + 8 - (-194 - -215) - -7).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7949, 7935, 7925, 7919, 7917, 7919, 7925?\n\"Answer: 2*f**2 - 20*f + 7967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 5. What is the units digit of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6696, -188, -3, -5 in decreasing order.\nAnswer: 6696, -2, -3, -5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20, 1, 4.2, -4\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18432 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 + 1067?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828*c + 54*c - 1354*c = -1646*c - 178268 for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let r(y) = -2344*y - 2. Give x(r(k)).\nAnswer: 10988672*k**2 + 18752*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2418 and 145514?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*(-42)\/(-1554)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1882647?\nAnswer: 1\/1882647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-7)\/(189\/(-6))). Let x(u) = -u**3 + 9*u**2 + 14*u - 32. Let v be x(10). Solve -s - r*s = -v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 27 + 3*n + 28 - 2*n + 24 - 94 + n**3. Let z(r) = -3. Calculate -2*o(h) + 11*z(h).\nAnswer: -2*h**3 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 221*z**2 + 4564*z - 70. Give n(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*o + 5 = 0, z = -6*o + 3*o + 11. Let c(p) = -5*p + 0*p**2 - p - 1 - p**2. What is the units digit of c(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 16*f**2 - 2*f + 45. Let s be 6\/(-2) - (8 + -7)*-19. Let i be w(s). Put -5, i, -8 in descending order.\nAnswer: i, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 9. Let v be m(4). Suppose -v*l + 8*l - 15 = 0. What is the units digit of (-9 - l - -5)*24\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(-1*-2*sqrt(98) - sqrt(98))*3 + ((sqrt(98) - (5 + sqrt(98) + 0)) + -5*2*sqrt(98))*3)**2.\nAnswer: -44550 - 6300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 122 - 49 = 5*x, 2*c - 4 = 0. Suppose 3*v - 8*v = -x. Suppose v*b + 2477893 = -5*p - 3522112, 5*p = -5. What is b rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20245, 40491, 60737, 80983?\nAnswer: 101229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*n - 206*n + 93*n + 12*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -z - 66334, -3*z = a - 2*z - 22102. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:54 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 p when four letters picked without replacement from iggigppppgpg.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15958*o + 22805*o + 22481*o.\nAnswer: 29328*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Let f(a) = -27 + 7*a + 52 - 22. What is -f(s) - 6*g(s)?\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjtpjpjj. What is prob of sequence tpj?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -48 (b) 50\/41 (c) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of z**3\/3 - 7*z**2 - 6*z - 18. Let s be a(13). Let x(p) = -p**3 - 20*p**2 - 20*p - 27. Determine x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 205732117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8*s - 273379 = 0, -230744 = -2*m + 2*s + 316014. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 492892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2232\/21 - 18\/63. What is the highest common factor of w and 477?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 666 = -5*h - 5*u, 4*u = 4*h - 528. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151 - 156. Let l(y) = -y**3 + 5*y**2 + 7*y - 2. Let k be l(6). Let w be 0 + 2 - (-23)\/(-11). Which is the third biggest value? (a) q (b) k (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiciciiici. What is prob of sequence ii?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -242832.\nAnswer: 15\/80944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11269 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9728676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 46 = 4*b - 76, -9 = -c - 3*b + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270401 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.4 and 15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-14)\/(-4) + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-341 - -31 - -48) + 137.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhh when three letters picked without replacement from jjrrjhrjhujhjuj.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 27. Let n be g(-11). Suppose -12 = -n*m + 12*m. Let z(d) = -2*d + 2. Calculate z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {i: 5, d: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.0039 - -65. Round v to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1770 is divided by 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13133 is divided by (0 + 2 + -7 - -7)\/(8\/284).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2748960 and 6481055.\nAnswer: 9545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359636 and 8.\nAnswer: 719272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*y**2 - 24*y + 182*y + 50*y**2 + 5*y**2 + 18*y**2 wrt y.\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*t + 92727 - 96742 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4))**(4\/25)*m\/m**(-11)*m*m**(-3\/2)\/m assuming m is positive.\nAnswer: m**(519\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*((-35)\/(-14) + -2). Let y(c) = c - 9. Calculate y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t + 3*u = 54, 0 = -5*u + 20. Let q = 36 - t. Let b be (-2)\/(-6) + 10\/q. Calculate the highest common factor of b and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a hour in seconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18880)\/8496*17\/((-425)\/(-10)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-15))\/((18 + (-1547)\/84)*4)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 13*j - 3*m + 327, -2*m = 4*j - 330. Calculate the highest common divisor of 24 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040 and 832?\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + (-2841)\/(-15). Let h = 28 + t. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5166*m**2 - 150*m - 1685. Is k(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8462, 8704, 8972, 9266, 9586, 9932?\nAnswer: 10304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 30 = i + 3*c, i + 4*c = 25. Let s = -1 + i. Calculate the smallest common multiple of (2 + -4)*(-8)\/2 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-4 - 0\/(-4)). Solve m = r - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*-2 + 2. What is the derivative of z*c - 2*c - 1 - 5*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102797689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -194*z - 780. What is l(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 - 13)\/(1\/1). Solve -5*f - 25 = 0, -3*f - 17 + 0 = i*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*f**2 - 2 + f**2 - 36 to y*f + u + a*f**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 633, 1123, 1753, 2505, 3361, 4303, 5313?\nAnswer: 6373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17d - -20?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -7, -0.5 in ascending order.\nAnswer: -7, -1, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1724059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 5*f + 13, 2*z - 16 = -4*f. Let b be z*(-2 - 7\/(-2)). Suppose -p + 2 = -b. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 850, 1718, 2612, 3544, 4526, 5570, 6688?\n\"Answer: 2*j**3 + j**2 + 851*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o + 235. Let s(m) = m**2 - m - 20. Let w be s(0). Let r = w + o. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 2*g + 115 = 0. Suppose 2*m - o - 923 = 37, -m = g*o - 458. List the prime factors of m.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:03 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2 - 1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20336080 and 760.\nAnswer: 20336080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*z**2 + 3 + 3*z - 1 + 39*z**2 to the form t*z**2 + d + f*z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.797 + 0.797. Which is the fourth biggest value? (a) 101 (b) s (c) 5\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 291. Does 50 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - i = 4*a - 8, 3*a + 4*i - 6 = 0. Suppose 0 = -q - a*q. What is the second smallest value in 0.4, q, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:06 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28402017?\nAnswer: 3, 7, 19, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1172 + -1203 - (-8 - 1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1063 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -4*v - 24 - 21 + 1 - v - 19. Let c(o) be the first derivative of -o**2\/2 - o + 1. Give -5*c(a) + t(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(6\/(-8820)*3). Suppose -4*h = -5*d + n, 3*d - 398 = -3*h + 43. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 3, -0.3, 0.5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4416 = -3*q - 3*s, 2*q + 5*s + 107 = 3051. Is q a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10, 3, 1.4 in descending order.\nAnswer: 3, 2, 1.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.7 + 0.22. Let v = -321.9 - -315. Let i = v + d. What is the smallest value in -0.3, i, 4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 3 - (6 - 24) - (0 - -43).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60953012 to the nearest integer?\nAnswer: 7807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4351 or 4349?\nAnswer: 4349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, r: 2, a: 2, q: 1, z: 1, g: 6}. Give prob of sequence zrs.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*k = 2*f - 15, 12 = 2*f + 4*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -6. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5619\/268 + 7801445\/2948. Let a = -2668 + f. Let z = -8474\/3 - -186221\/66. What is the common denominator of z and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 45. Let u be 117\/m - (-1 + 6\/8). Suppose -5*b - 5*y = -5, 0 = -4*b - 2*y + u + 2. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 6*a + a)*(-2*a - 3*a - 14*a).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 1. Let u(d) = d**2 - 2*d + 1. Let r be u(l). Suppose 0*y - y = 5*b - 15, r = y - 3*b + 1. What is the smallest common multiple of 25 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/5*89\/((-3916)\/(-55))*32\/(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29425 - 1530205\/52. Calculate the common denominator of -43\/12 and t.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.08461 nanometers in millimeters?\nAnswer: 0.00002308461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(((x\/(x*x\/(x\/(x\/((x**(2\/7)\/x*x)\/x))*x)*x))\/x)\/x)*x)*x\/(x\/((x\/(x*x\/(x**6\/x)))\/x)))\/(x**(1\/3)*x**2))**(1\/10) assuming x is positive.\nAnswer: x**(-17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574531022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/166)\/((336\/105)\/(208\/(-130))).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 80847427 and 906?\nAnswer: 80846521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 898 and 950533.\nAnswer: 1901066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoo when three letters picked without replacement from ydodogyyyyydyd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 33693000 to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.52 (b) -0.1 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**8\/14 + r**4\/12 + 2*r - 2. Let g(m) be the first derivative of k(m). What is the third derivative of g(f) wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -23. Let s be (129\/j)\/(2\/(-44)). Suppose -s = -0*c - c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.1 + -20.9. Let g = 45 + o. Let t = 0.1 + 0. Sort t, g, -1 in decreasing order.\nAnswer: t, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3498361*z**2 + 16133747*z wrt z.\nAnswer: -6996722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/25444506 and -20\/114500277.\nAnswer: 229000554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 958*b**2 + 14*b + 735. Let c(d) = 319*d**2 + 4*d + 245. Let f = 822 - 824. Let l(h) = f*w(h) + 7*c(h). Find the first derivative of l(m) wrt m.\nAnswer: 634*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from uuukauamxekeaxukaeuk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/6 - 15*v**2 - 12*v. Let n be o(0). Is 12 a factor of (2 + 60\/(-25))*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(2\/(-20)*4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 21 = q, -q - 71*i + 70*i + 21 = 0. Solve 0 = -14*o + q + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 4. Let p(v) be the second derivative of -5 + 3*v + 0*v**3 - 1\/12*v**4 + 0*v**2. Calculate n(p(w)).\nAnswer: 3*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.058.\nAnswer: 0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (6 + (-2 - -2) + -36 + 7).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 532*d**3\/3 - 1254*d**2 - 5924*d\/3 - 2695\/3.\nAnswer: (d - 539)*(d + 1)**2*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4461, -8922, -13383, -17844, -22305, -26766?\nAnswer: -31227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.016 + -0.194. What is n rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -8*l. Suppose l = -t + 5, -4*i + 9*t + 26 = 11*t. Solve -31 = 3*m + 5*w, 7 = i*m - 0*w - 3*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2128*a + 31. Let i be z(-11). What is i rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2261*v - 92226 = -166*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(54\/28 - -9*(-20)\/420)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -1083, -1626?\nAnswer: -2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*g**2 + 4*g**2 - 6*g**2)*(3*g - 4*g + 4*g).\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 4. Let r be (-78)\/24 - (-6)\/(-8). Let m be q(r). Let k(u) = 96*u - 1057. Let t be k(11). Put m, -5, 1, t in increasing order.\nAnswer: -5, m, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -845457\/40 or -21136?\nAnswer: -21136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 247372 (base 9) to base 2\nAnswer: 100100100011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1080 is divided by 404.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 2*f. Let p be r(2). Let l(m) = m - 34 + 21 + m + 17. Let u be l(p). Which is the nearest to 4\/3? (a) -5 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*r = 20, -15*r + 24*r - 15 = -4*i + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*v**2 + 18*v**2 - 740*v**2 - 300*v**2.\nAnswer: -969*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 111314?\nAnswer: -111311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 7 = -4*n - 2, -6*i - 4*n - 38 = -8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + j + 5, 2*l = -2*j - 11 + 1. Let c be l - -1 - (-2 - -1). Suppose 3*v = -c*v + 10. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43153313347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j**2 - 12*j. Let v be 5\/(-5*4\/(-24)). Let i be m(v). Suppose i = -10*r + 5*r + 95. Solve 3*t + r = -2*a, 3*t - 1 + 0 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.60219 + -0.00219. Put b, 2\/9, -0.2 in descending order.\nAnswer: b, 2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x + 2. Let w be z(-4). Let y(n) = 7 + 2 + 5 - 4 + n. Let a be y(-7). Solve -h = -w - a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 55*q + 252. Let s be x(11). Let v be (-36 - (-3 - -2))*-1. Suppose v = -3*w + s*w. Calculate the greatest common factor of w and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 2, z: 9, l: 2}. What is prob of picking 1 a, 1 z, and 1 u?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f**2 + 57. Let n(u) = -7*u**2 + 52. Calculate 4*d(b) - 5*n(b).\nAnswer: 7*b**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*u + 189*h**4 - 16*h**2 - h*u - 2*u wrt h?\nAnswer: -24*h*u + 4536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2368 and 2368.\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263.8 - 264. Let g = -0.3 - -0.1. Let p = g - -3.2. What is the closest to 2\/7 in r, 5, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 614790 and 6325?\nAnswer: 3073950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67367167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 2394872. Let j(o) = 3*o. Give j(a(m)).\nAnswer: -12*m**2 + 7184616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -427\/9 in 0.4, 2, -820?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4 - 0)\/(-35 - 281\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -18. Let v = 10 + p. Let a = -0.1 - 0. What is the closest to a in 5, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -148000*(2 - 45\/10). Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32, 219, 420, 641, 888?\n\"Answer: k**3 + k**2 + 177*k - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -36.2. Let v = 9.6 + -0.6. Let i = v + o. Round i to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n - 1. Let w(y) = -12*y**3 - 10*y - 6. Determine 10*t(a) - w(a).\nAnswer: 2*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 - 1609*z + 1289. Determine w(229).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*(790\/316)\/(10\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d**2 - 16*d**2 + 337*d - 3*d**3 - 2*d**4 + 4*d**2 - 339*d - 14*d**2 in the form q*d**4 + f*d**3 + p*d + n + r*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkd when three letters picked without replacement from kkzkjjzkdzqkskz.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 + 562. Let h = -133 + n. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*p - 5 + 2)*(35 - 35 + 60*p) in the form g + d*p**2 + z*p and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 6 + -40 + 33?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let o be w(3). Suppose 0*q = o*q - 6. Solve 4*c + q*l + 21 = 5, c - 3*l + 11 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 409, 386, 363, 340, 317, 294?\n\"Answer: -23*s + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by -14.\nAnswer: -179\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-4*5)\/(sqrt(18)\/sqrt(96) - sqrt(48)*1).\nAnswer: 32*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:06 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189561208 to the nearest integer?\nAnswer: 13768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/60 + k**4\/2 + 5*k**3\/2 - 16*k**2. What is the units digit of u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.115 times 5\nAnswer: -0.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 1122*a**4 - 98703*a**3 + 382548*a**2 - 473460*a + 188496 = 0. What is a?\nAnswer: 1, 2, 132, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 + 0.4. Let b(d) = 2*d**3 - d**2 - 3*d - 2. Let f(n) = 12*n + 119. Let u be f(-10). Let g be b(u). What is the third smallest value in i, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 6*j - 5*j - 19.\nAnswer: j - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -612, 296, -6.\nAnswer: -612, -6, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnv when three letters picked without replacement from {v: 1, n: 4, c: 1, w: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 115, 540, 1651, 3796, 7323, 12580, 19915?\n\"Answer: 58*h**3 - 5*h**2 + 34*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/39 or 3\/22?\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*o**2 + 0 - 8*o**6 + 92*o**2 + 0 wrt o.\nAnswer: -960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.051 - -8.949. Let f = -7.3 + 7. What is the closest to -2\/5 in 5, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.6 + 11. Let y = 1377 + -1377.1. Which is greater: f or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*v**3 - 220*v**2 + 27*v**3 - 75*v**3 + 209*v**4 wrt v?\nAnswer: 5016*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:22 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -15203000 to the nearest 100000.\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3255 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/44847 and 3\/151.\nAnswer: 44847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - 1*sqrt(88))*1)\/sqrt(8) + 0 + 1 + 1 + -3 + (sqrt(891) - (sqrt(891) + -1*2*sqrt(891))))**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -208, -311, -404, -481, -536, -563, -556?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**4\/4 - v**3\/2 - v - 2. Let f(n) be the first derivative of l(n). Find the second derivative of f(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrhkxqqx. What is prob of picking 1 r and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-224466)\/(-165) - -3*(-1)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4164030\/(-726036) + (1 - (-13)\/(-17))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 2*p - 5. Let j(o) be the second derivative of -o**3\/2 - 37*o**2\/2 + 12*o - 1. Let g be j(-11). Determine n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118518\/73 or 1624?\nAnswer: 118518\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04646628 and -0.469?\nAnswer: 0.51546628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148464 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32275*p + 32224*p - 64412*p.\nAnswer: 87*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + 47b4b?\nAnswer: 47b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5092, 10132, 15172, 20212?\n\"Answer: 5040*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2581 + 1408. Let t = c - -1173.00653. What is t rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (589 + 3*f - 3866 + 875 - 4*f + 17*f)*(-6*f + 2*f + 2*f) to w*f**2 + y + t*f and give t.\nAnswer: 4804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1062*x + 2291. What are the prime factors of o(-6)?\nAnswer: 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/59 <= -2\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 64, 110, 160, 214, 272?\n\"Answer: 2*d**2 + 36*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31410 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 30*q = 28*q + 8, 3*b - q = 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1116\/7 + 21218\/133. Which is the third smallest value? (a) 39 (b) s (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 20*h**2 + 18*h - 38. Calculate r(-19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526 = -4*y - 546, 3*y + 50 = -5*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23386, 47317, 71244, 95167, 119086, 143001, 166912?\n\"Answer: -2*w**2 + 23937*w - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.14, 0.2, -4, -0.21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 6*d + 21. Let h be l(4). Is (-858)\/(-10) + (-7)\/h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-3)\/(18\/195))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (4 - 0) + 13 + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, 0, -279, -33 in ascending order.\nAnswer: -279, -33, -18, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 11 = 4*h. Which is the third smallest value? (a) 0 (b) h (c) 4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**5*s**2 + 1574*q**2*s**3 - 2*q*s + 10*q - 53*s**3 wrt q.\nAnswer: 40*q**3*s**2 + 3148*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33096, -33097, -33094, -33087, -33076, -33061?\nAnswer: -33042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*h - 2*h, -3*d + 3*h = -27. Let c = d - 5. Let i be ((-1209)\/9 - c)*1800. What is i rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 93\/21 - (-6)\/(-14). Suppose -g*h + 2*p + 64 = 0, 0 = 3*h + 3*p - 59 + 20. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5807, 5927, 6131, 6425, 6815?\n\"Answer: f**3 + 36*f**2 + 5*f + 5765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27996*l**3*v + 139*l**2*v + 175*l*v wrt l.\nAnswer: -167976*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 111 - 308 + 92 + 100.\nAnswer: -13*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*r - 15 + 214*r + 17 - 667*r + 219*r.\nAnswer: -5*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqjccji. What is prob of picking 1 i and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -27*u - 57. Let s(k) = -25*k - 57. Suppose 2*c + 2*c = -12. Let w(x) = c*s(x) + 4*n(x). Differentiate w(j) with respect to j.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -602c?\nAnswer: -6031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1075720 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 5*k**4\/6 - 23*k**3\/2 - k**2\/2 - 26*k. What is the second derivative of o(n) wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -2310434?\nAnswer: 2310430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2327, 4516, 6715, 8930, 11167?\n\"Answer: z**3 - z**2 + 2185*z + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 20*j + 483. Let x(i) = 4*i**2 - 45*i + 968. Let k(o) = -9*u(o) + 4*x(o). Let s(r) = r**2. Give s(k(g)).\nAnswer: 4*g**4 + 1900*g**2 + 225625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -181\/7*m + 0 + 1\/7*m**2 = 0.\nAnswer: 0, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a**2*w + 94*a**2 + 4*a*w - 274*a + 113392*w + 31 wrt w.\nAnswer: -15*a**2 + 4*a + 113392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4510 and 143\/6408.\nAnswer: 14450040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in 0.2, -1\/4, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwnwwandniiw. Give prob of picking 2 w, 1 d, and 1 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 48*z + 264. Let l = 178 - 125. Let a be s(l). Let y(k) = 15*k - 9. Let q(i) = -i + 1. Calculate a*y(o) - 9*q(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 - (10 + 4 + (-12 - -9))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.427*-1.2.\nAnswer: 6.5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/7 - 228*y**2\/7 - 5049*y\/7 + 754 = 0. Calculate y.\nAnswer: -203, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.102, -0.1, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*c = 93*c + 46*c + 40*c. Let k(a) = -a**3 - a**2 + a + 1. Let m be k(0). Let l be 4 + (0 - 0) + m. Solve l*z - z - 8 = c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8798 and -55\/7.\nAnswer: 61586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -983, 4, -43 in descending order.\nAnswer: 4, -7, -43, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.821847884 rounded to one dp?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -70\/3. Let o = -377\/930 + 1\/186. Which is the nearest to o? (a) -2\/17 (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 5)*(9 - 9 + 4*o**2) + 17 + 8*o**2 - 17 + (-3*o - o + 3*o)*(-4*o + 0*o + 5*o))*(o - 1 + 1)*(-o**2 + 2*o - 2*o).\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009445347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -0.35 (c) -45 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (50\/3)\/25 - (-784370)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = -5*j + 21, 0 = k + 5*j - 17. Suppose -2*g - 16 = 2*x, 5*g + 44 = -x - 0*x. Let l be (g\/(-3))\/(-3)*0. Is l <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 2. Let o = 175 + -180. Let k(l) = 4*l - 2. Determine o*w(s) - 6*k(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/11 + 4*l**3\/11.\nAnswer: -2*l**3*(l - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3632*r**4 - 3162*r**3 + 160059717*r wrt r?\nAnswer: -43584*r**2 - 18972*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 12 = 5*n, -3*m = 4*n - n - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-3)*6\/10. Suppose 0 = -l*c - 1 + 31. What is the least common multiple of 3 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124176 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 11*j**2 - 7*j + 11. Suppose 110*o - 392 = 144 - 96. Let d(m) = -m**3 + 4*m**2 - 2*m + 4. What is o*q(g) - 11*d(g)?\nAnswer: -g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 6*l - 6. Let b = -2 + 4. Suppose 2*f = 4*f + b*v - 2, 3*f + 32 = 4*v. Determine m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 6*w - 1 - 5*w)*(-314*w**3 - 341*w**3 + 199*w**3) in the form h*w**2 + r*w + j*w**4 + n*w**3 + u and give n.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19936 and 84.\nAnswer: 59808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 544463 equal to 9255870\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.1 and -522849.\nAnswer: 3712227.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234*f**4 + 194*f**4 + 7*f**3 - 8*f**3)*(-f + 0 + 0) - 5*f**5 - 2*f**5 + 4*f**5.\nAnswer: 37*f**5 + f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + sqrt(27)\/sqrt(576) - sqrt(3)))**2*1*-2*5 + -4.\nAnswer: -4484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -646 or -232148?\nAnswer: -646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181742 divided by 801?\nAnswer: 4426\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 292, 7 in decreasing order.\nAnswer: 292, 7, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3985, 15907, 35761, 63535, 99217, 142795, 194257?\n\"Answer: -2*k**3 + 3978*k**2 + 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -830 + -9310?\nAnswer: -10140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2930479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.02114 seconds to days.\nAnswer: 0.00251181875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -48. Let r be d\/20 + 3\/6. Let s = 1545 - 1545. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 6*d - 25. Let y be b(-9). Suppose 0 = -m + 5, 5*m = 3*r + 52 - 18. Let q be -3 + (-14 - -18 - (0 + 5)). Sort q, y, r in descending order.\nAnswer: y, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, -1, -5, 573 in descending order.\nAnswer: 573, 20, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puefyfyxpeyf. What is prob of picking 1 y and 1 f?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*o - 201*o + 198*o + 105 - 4*o**2 - 11 + 90.\nAnswer: -4*(o - 23)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309 and 7313?\nAnswer: 21939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1617390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 65 - (-3 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-462)\/(-4))\/7*22*(-13)\/(-429)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 37. What is the second derivative of -d**5 + 9*d**y - 10*d + 0*d**5 wrt d?\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004111 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/60*4584\/9359?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94900 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671 is divided by 408.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237 + 238.41. Let i = w - -0.13. Is i <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2234788 - 18242806\nAnswer: -16008018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 + 1.36. Which is the closest to 2? (a) -0.5 (b) 1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 14*q + 23. Let i(k) = -2*k + 2 + 7 - 5 - 3. Let o(u) = -4*i(u) - 2*w(u). Suppose o(l) = 0. Calculate l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = -18. Let u(a) = a**2 - 8*a - 2. Give u(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*u + 7*u**2 + 3*u**2 - 4*u**2 + 110*u**3 - 4*u**2 - 3*u**2 to b*u**3 + t + h*u**2 + w*u and give b.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6034557, -12069121, -18103683, -24138243?\nAnswer: -30172801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 2, q: 3, r: 5, d: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*o**2*v**4 - 14*o**2*v**3 + 4229*o**2*v**2 - 3*v**2 wrt v.\nAnswer: -3984*o**2*v - 84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -34*m**3 - 4*m**2 - 4*m - 1. Let u be s(-3). Let h = -1529 + u. Is (4\/6)\/((-8)\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 400 + -237. Suppose -2*w = -5*b - 173, -3*w + 5*w + 5*b - u = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**3*z + 335*y**2*z + 501*y*z + 2*y wrt y.\nAnswer: 6*y*z + 670*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18541423193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 28.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 divided by 2?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 573*v + 339*v**2 - 166*v**2 - 176*v**2 to the form w + p*v + x*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 715*t + 12 = 720*t, 5*t - 40 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 468 = -11*m - 42*m - 773 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2, 1321, 5, 4 in descending order.\nAnswer: 1321, 5, 4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/21187837 and 34\/48154175.\nAnswer: 529695925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j - k + 898 = -34*j, 2*j + 3*k - 454 = 0. What is the lowest common multiple of 18 and 2\/(-3) - j\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127725 or 13666700\/107?\nAnswer: 13666700\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 8*(-5)\/(-10) + -6. Let y(b) = b**3 - 6*b**2 + 12*b - 11. Let o be y(u). Solve -o*z + 0*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-136)\/(-10) - (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*z**4\/4 + 33*z**3\/4 - z**2 - 15*z - 4 = 0. What is z?\nAnswer: -1, -2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 7*f**3 - 6*f**3 - 9*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + 25. Let s = c + -68. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*t + 222 = 0, 3*t = -2*t. Let l = -30 + y. Suppose 3*j + l = 134. Calculate the highest common divisor of 75 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(12)\/(sqrt(36)\/(sqrt(6) + sqrt(24)\/sqrt(4))))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -a2?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.017*170.71\nAnswer: 2.90207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 157 + -165 - (-1 - (-1 + 2 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 24*p**2. Let i be v(24). Is 55 a factor of 6 + 268 + (i - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 - 2669493074 + 2669493074.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 1, 3\/5, -0.2, -26, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57a3 + -3b?\nAnswer: 5767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-10 + 182\/21). Solve -1 = -i*d - 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**3 - 4*u**2 - 2*u + 2. Let a be g(-2). Is a > 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 5) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/231)\/((-1)\/(14\/2)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 177 + 333 = 11*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 43. Let d be y(-9). Is 21 a factor of (84\/d)\/(15\/(-980))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -810 + 962. What is the remainder when u is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(6\/(-24) - ((-144)\/(-32) - 4)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggghghgghgggge. Give prob of sequence hg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htqqthhqfqt. Give prob of picking 2 t and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 0*q - 22 - 124 - 3 + q in the form s*q + x and give x.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 1, z: 4, r: 3, a: 2}. What is prob of sequence ta?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, y: 5, a: 2}. What is prob of sequence ahya?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 11\/4, -654 in increasing order.\nAnswer: -654, 0.1, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 107547930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*((-70)\/4 + 1). Suppose -2*g = -4*l - 0 + 16, 0 = 3*l - 2*g - o. Let m be (-8 - (10 - 13))*(-2)\/(-15). Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 8, f: 10}. What is prob of picking 1 l and 2 f?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*r + 9, 5*r + c + 3*c - 32 = 0. Suppose -3 = -3*o + r*n - 5, 13 = -4*o - 5*n. What is the tens digit of ((-13)\/(39\/126))\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3 = 2033*i - 2029*i, -2*y + 3*i = 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 590a?\nAnswer: 58b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 - 6650*w\/11 - 60012\/11.\nAnswer: 2*(w - 3334)*(w + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4117)\/(-37053))\/(0 + -1*(-2)\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 + 2*c**2. Let f(r) = 2*r**3 + r**2. Let j be 4\/10 - (-66)\/10. Let a be 12\/18 + 11*(-8)\/24. Give a*x(h) + j*f(h).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61056 and 23031680?\nAnswer: 207285120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/87 + -6\/29. What is the nearest to -3 in -1\/4, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 n, and 1 z when four letters picked without replacement from {l: 2, n: 8, x: 2, z: 2}.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2533 and 4369.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -28792*s**2. Let d(m) = 2*m - 30. Calculate d(x(v)).\nAnswer: -57584*v**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 62 - 5)*(3 - 5 + 4)*(0*y - y + 0*y).\nAnswer: 88*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 151129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a factor of 715070000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a7e - 9c?\nAnswer: 9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.5 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 divided by -95?\nAnswer: 221\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 97675107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2199 = 8*r - 2287. Let k(v) = v**3 - 10*v**2 - 9*v - 18. Determine k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -1959 + 1943 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*n = 14, 4*n - 15 = -5*x + 11. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6527 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/(-20) + 30\/(-24). Suppose u = 11*q - 12732 + 2337. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1255*c**2 - 2841*c?\nAnswer: -2510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*a - 4, m + 3*m - 17 = -3*a. Suppose 3 + 29 = m*w. What is the third derivative of -33*s**2 + 2*s**4 + 0*s**w + 29*s**2 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhpqhpqppqqqq. Give prob of sequence pqph.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/13 or 3358?\nAnswer: 3358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.328 rounded to two dps?\nAnswer: 4.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + 15 + -26 + -18 - 51.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/7 (b) 5 (c) -0.5 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13589.\nAnswer: 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-1)\/112). Suppose -4*k + 344 = 5*l, 0*k + 5*l + 61 = k. Let s = k - w. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**18\/r))**(-2\/15)*r\/(r*r*r**(1\/4)*r)*(r*r\/(r*r**(8\/3)))\/r assuming r is positive.\nAnswer: r**(-167\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 61, 88, 135, 208, 313?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c - 8. Calculate the lowest common multiple of 36 and l(5).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1.9, 0.06, 0.4, 2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1425 = -2*x - 127, -282 = -k + 5*x. What is the remainder when k is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8906 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2961632086052 and -4.\nAnswer: 2961632086048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuhua. Give prob of sequence ah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*i + 214 + 58 = 306*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*u - 25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 2*s. Let x(z) = 4*z**2 + 9*z + 2. Let n(c) = -3*c**2 - 8*c - 2. Let v(y) = 3*n(y) + 2*x(y). Let t be v(-6). Calculate p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1030966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-6)*-1*8\/15. Let h(q) = -q**2 - 5*q + 8. Let f be h(-6). Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1. Let m(t) = 2*t**2 + 8*t + 16. Let j(r) = 8*i(r) - m(r). Suppose j(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24346, 23830, 23312, 22792, 22270?\nAnswer: 21746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 15 = -4*x, -178*a - 20 = 2*x - 174*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(1248\/1380) - (-86)\/559.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -6*b + b. Let w = -13 - b. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -111*r - 4. Let i(l) = 17*l**2 - 8*l + 1. Let u be i(2). Let y = u + -54. Calculate the remainder when t(y) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*n - 7*n + 3*n to the form j + x*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -32. Let c be (-4)\/16 + y\/(-8). Let l = c - -6. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -53571673 and 0.3.\nAnswer: -53571672.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = -j, -5*s + j + 23 + 7 = 0. Let h = s + -5. Suppose 0 = -3*i + 4*i - 3. Solve -o - o - g - 11 = h, -3 = i*o - 3*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 725.2 - 725. Put 0.3, 1, -0.4, w in descending order.\nAnswer: 1, 0.3, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/98 + 17\/(-7). Let u(m) = -m**3 + 6*m**2 - m + 4. Let h be u(6). Let b be (h\/(-8))\/(x\/4). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*t + 732 - 482 = -884 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**9\/30240 - m**7\/2520 - m**6\/360 + 47*m**5\/60 + 12*m**2. Let c(q) be the third derivative of j(q). Calculate c(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/7))**(-2\/63)\/(z**(-14)\/((z*z**(10\/9)\/z)\/z)))**(2\/21) assuming z is positive.\nAnswer: z**(12430\/9261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2617781*w**2*y**2 + 3*w**2 + 3*w*y + 108*y**2 - 369*y wrt w?\nAnswer: -5235562*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0439658 years to centuries.\nAnswer: 0.000439658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/3 - -6)*(157 - 151)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*w**2 - 365*w**4 - 894*w**4 + 125*w**4 + 244*w**2 wrt w.\nAnswer: -27216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 33, -83 in ascending order.\nAnswer: -83, 1, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 185224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18098*v**2 + 36625*v**2 - 18301*v**2 + 6*v**3.\nAnswer: 6*v**3 + 226*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4263 is divided by 362?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 421941625221650 and 0.2?\nAnswer: 421941625221649.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 25) + (-102 - -136) + (-25 - -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2232554 by 6.\nAnswer: 1116277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2957743889 - -2957743394.6052398. Let q = 0.0432398 - r. Let x = q - 495. What is x rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-24)*y)\/y)\/(y*y*y\/y**(-3\/7)*y) assuming y is positive.\nAnswer: y**(-185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-0.038173.\nAnswer: 0.458076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -598, -613, -626, -637, -646?\n\"Answer: l**2 - 18*l - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*b**2*n + b**2*s**2 - 2*b**2 - 3*b*n*s**2 + 2*n*s**2 + 2*n*s + 2*s**5 wrt s?\nAnswer: 2*b**2 - 6*b*n + 4*n + 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 124 - 51 = 0. Suppose 0 = 3*t + 2*l - n, -2*t - 5*l = -0*l - 2. Solve 0*h = -5*x + 3*h - t, 1 = -x + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7685\/6 + 1281. Let u(h) be the first derivative of 1\/2*h**4 - 1\/5*h**5 + 6 + 0*h + 0*h**2 + 0*h**3 - f*h**6. Factor u(p).\nAnswer: -p**3*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -776466931, -776466932, -776466935, -776466940, -776466947, -776466956?\nAnswer: -776466967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 - 1)*(5 - 5 - 3*r) - 71*r - 50200 + 50200)*(0*r**2 + r**2 + 2*r**2) as z + w*r**2 + k*r + x*r**3 and give x.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 67197413 to the power of 1\/2, to the nearest integer?\nAnswer: 8197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -40, -125, -250, -415, -620?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5 - 4*i**2 - 10 - i**3 + 2*i**3 + 2*i + 1. Calculate y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-3) + 6)*18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5427*d = 7651*d - 57824 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ata. What is prob of picking 1 a and 1 t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14734344 * -3.\nAnswer: -44203032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7027\/13 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -392, -749, -1220, -1811, -2528, -3377?\nAnswer: -4364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.04, 4\/5, -0.03, 0, 146, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 855*c**4*g**2 - 17*c**2*g**3 - 2*c*g**2 - 193*c*g - g**3 wrt c?\nAnswer: 10260*c**2*g**2 - 34*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -435*t - 1612 + 1612 as x + q*t and give q.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7446422 times -4?\nAnswer: -2.9785688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/4126036 and 19\/109735?\nAnswer: 20630180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 5*f - 8. Let z be h(-7). Suppose 7*r = z*r - 21. Let x = 17 + r. Let i(q) = -q**3 - 4*q**2 - 3*q + 4. Give i(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txnnntnxttx. What is prob of picking 2 x and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 1 + 13. Factor -4*u + 8*u**3 + 8*u**2 - u**p - 6 + 2 - 4*u**5 + 0*u**4 - 3*u**4.\nAnswer: -4*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 4, o: 6}. What is prob of picking 2 o and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(210\/(-427)) + (-2)\/(-10) and 109\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/9988369 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 61382.07 centimeters?\nAnswer: 0.6138207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3.8, 0.013444, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 52, 42 in descending order.\nAnswer: 52, 42, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 1288980870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -34602\/6767 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and 51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 9*x**2 + 9*x + 34. Let c be (7\/3)\/((-1)\/(-3)) - -3. Let u be k(c). Suppose 5*y - u = -2*h, -4*h - 6 = y - 9*h. Solve y = a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/139600 and -27\/19962800?\nAnswer: 19962800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*c - 20*c - 13*c - 21*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - (-6 - -3 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9725?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350026?\nAnswer: 2, 175013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -186.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**2 - 5*z**2 - 4*z**2)*(35*z + 304 - 304) as b*z**3 + q*z**2 + p + a*z and give b.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + 4*m - 4. Let t be -1 + (-1 - -4) + 3. Suppose -u + 21 = -t*y, -y = u - 2*y - 1. Is l(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = -5*a - 39, 0 = 2*p - 3*a - 1. Let j = p - -7. Suppose -2*n - 2*n + 3*m + 4 = 0, 3*n - 3*m - 3 = j. Is n at most -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkr when three letters picked without replacement from {k: 1, h: 1, z: 2, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18484\/(-21))\/(-3 + 5). Let p = l + 440. Let t be ((-1)\/(-2) - 0)*0. What is the smallest value in p, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/3 - 9*h**4 + 206*h**3\/3 - 222*h**2 + 315*h - 153 = 0.\nAnswer: 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -45430637?\nAnswer: -45430631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/12)\/1*(-189)\/441\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7190 - -71837\/10. Find the common denominator of f and 23\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404, -6, 30, 5, 17 in descending order.\nAnswer: 404, 30, 17, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254646 plus 4?\nAnswer: 254650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 6) to base 16\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*k - 3. Let o = -10 - -13. Which is the third biggest value? (a) 2 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*c + 20. Factor -u**2 + 3*u**2 - 3*u**2 - 4 - c*u.\nAnswer: -(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/7 + 10*u\/7 - 72\/7 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -102*1\/(-2) + 2. Let c = a + 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -215\/3. What is the smallest value in 1\/4, s, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240594\/601 or 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -17 - (-1 - 0)) + -142 + 216\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = -44. Suppose z + k = 3*z. Is 8 a factor of 2\/(-4) + 275\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 15*m**3 - 66*m**3 + m**2 - 156*m**3 + (2*m**2 + 3*m - 3*m)*(m**2 - 4*m**2 + 0*m**2) to t*m + d*m**2 + y*m**4 + g*m**3 + i and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y**2 - 3*y + 1. Let x be o(-4). Let k be -1 - (0 - x - (-2 + -59)). What is k rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -849366 plus 4?\nAnswer: -849362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*d + 71*d + 24. Let w be 7\/4 - (-3)\/12. Calculate the highest common divisor of d and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + y + 2*y + 42 = 0, 20*v + 5*y + 39 = 18*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1043216 + 1043216.00899958. Let r = f - 0.009. What is r rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 7 - (-232 - -228).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 1121103223?\nAnswer: 1121103311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5145)\/(-49)*((-6)\/170)\/(315\/210)?\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4819633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 12*j + 5. Let o be s(11). Let f(m) = 7 - 5*m + 0 + 2*m. Is f(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b. Let s(o) = 171*o + 18. Let u(w) = 494*w + 51. Let l(h) = -14*s(h) + 5*u(h). Give q(l(g)).\nAnswer: 76*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7cc42 + -2a?\nAnswer: -7cc6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - -1.9. Let j = 2.253 + 0.047. Let r = j - 5.3. What is the nearest to s in 0, -0.5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7214652 millilitres to litres.\nAnswer: 0.0007214652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l + 25*l - 92 = -20*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -38. Solve 2*r + 0*r = -5*b + o, 5 = -5*b + 5*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-836)\/99 + (2 - 4 - -10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2250 and 9002250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2124 and 1053622?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c - 1. Let b(a) = a - 1. Let j be b(3). Let x(h) = 5*h - 2 - 6*h - h**j + 2. Let q(y) = -6*y**2 - 6*y - 2. Give c*q(u) - 4*x(u).\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/75 (b) -152 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96008.\nAnswer: 2, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 89*s + 51. Let z(m) = m**2 - 9*m + 47. Let q be z(9). Let j be k(q). Is j at least as big as 286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18425312 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 a when three letters picked without replacement from sssasasssassssss?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 74. Suppose 3*c + 3*y = 0, 3*y = -2*c - a*y - 15. Solve 3*h + 2*p = -4, -p = -c*h - 0*h - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a32 (base 13) to base 12.\nAnswer: -b20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 249. Let h(a) be the first derivative of -a**2\/2 - 1856. What is h(v(y))?\nAnswer: y**2 + 249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/((-3)\/6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 100689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2542710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 w when three letters picked without replacement from {c: 2, i: 1, r: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89836 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, -2 in decreasing order.\nAnswer: 14, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6039971?\nAnswer: 7, 709, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(684))**2 - sqrt(19)).\nAnswer: -2736 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**3\/18 - 1091*k**2\/3 + 2380562*k\/3 - 6591. Find f such that s(f) = 0.\nAnswer: 2182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110865 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 2*i**5 - 3*i**5 + (3*i**3 + i**3 - 3*i**3)*(2*i**2 - 3*i**2 + 0*i**2) + (-2*i**5 + i**5 + 0*i**5)*(-43 + 63 + 146).\nAnswer: -171*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61\/3 (b) -1\/12 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1)*(-1)\/1. Suppose r = -7*o + 357 + 7. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3))**(-7\/10)*u**0\/u*u**0)**(1\/12) assuming u is positive.\nAnswer: u**(-37\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -110, -108, -106, -104, -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-8*95\/(-76) - (-172)\/(-2)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 6122*g + 11236*g + 724*g**2 - 5842*g.\nAnswer: 4*g*(g - 1)*(g + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2361 greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 16) + -12 + 17 + -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067078 to the power of 1\/2, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0)*-2*-2 - -6*(sqrt(891) - (sqrt(891)*4 + 0)))**2*6.\nAnswer: 1047816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 - 28*z - 139\/5.\nAnswer: -(z + 1)*(z + 139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -14492*a. Let q(r) = -309*r**2. Give n(q(m)).\nAnswer: 4478028*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/3))**(-26)*(w*w**(-7))\/w*w**(-19))**(-27) assuming w is positive.\nAnswer: w**1872","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85374236 and 2.\nAnswer: 85374236","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593024 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 14437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5667*y**3 + 15380?\nAnswer: -17001*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2673.95 nanograms to kilograms.\nAnswer: 0.00000000267395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 27 = c. Let m = -1 + c. Solve 3*s + m = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**5 - 45*x**4 - 127*x**3 + 111*x**2 + 635*x + 150 = 0.\nAnswer: -5, -3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 3. Let j(m) = -279*m. Calculate j(a(l)).\nAnswer: -279*l - 837","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/13, 4, 5, -4\/3, 0.52906?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4.4. Let b = -0.15 + -0.35. Put b, w, -3 in decreasing order.\nAnswer: w, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y + 2*y - 4*y. Let h(x) be the second derivative of -x**4\/24 - 5*x**2\/2 + x. Let j(n) be the first derivative of h(n). What is q(j(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2)\/((-150)\/15). Solve 0*b = -2*y - b, p = -y - 5*b - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n + 12. Suppose 253 + 149 = 3*o. Let l = -136 + o. Calculate the remainder when 126 is divided by q(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -33160 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2707 divide 1555407912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.5 - 20.3. Let l = 5 + -4. Which is the second biggest value? (a) l (b) p (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -20?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(800))\/(sqrt(180)\/sqrt(5) + sqrt(36))*2.\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**5\/3 + 80*f**4\/3 - 185*f**3\/3 - 80*f**2\/3 + 60*f = 0.\nAnswer: -18, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194625 and 38475.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3790600 by -34460.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2. Let p(o) = -362*o**2 + 18*o. Calculate p(c(v)).\nAnswer: -13032*v**4 + 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -120, -125, -130, -135?\n\"Answer: -5*f - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2)*77\/14*2. Find the second derivative of l*n**4 + 24 + 139*n**4 + 20 + 3*n - 40 wrt n.\nAnswer: 1800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w**2 + 4*w - 3. Let k(d) = 10*d**2 + 5*d - 3. What is -3*k(z) + 4*u(z)?\nAnswer: 2*z**2 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(280)*-6)\/(sqrt(20)*-2))\/(-5*((sqrt(648) - -6*sqrt(648)*-1 - sqrt(648)) + sqrt(648))).\nAnswer: sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + b + 1 = 3, 3*b = -o - 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20235161 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 7}. What is prob of sequence gz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*a + 72 = -17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 29*c + 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*4184.72.\nAnswer: 54401.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-14) - (-180)\/210. Suppose -18*n + 35 + 19 = i. Solve -2*z - n*o = -0 - 3, -6 = -2*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.68 + 0.78. What is g rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9 - 65*x - 6 + 6 + 67*x. Calculate h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011000 + 101?\nAnswer: 10100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 19*h**2 + 16*h + 34. Let o be s(18). Put o, -13, -0.2 in descending order.\nAnswer: -0.2, o, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**2 - 3 - 4*v + 2*v**3 + 2*v - 5*v**2 - 3*v**4 - 5*v**2 to the form r*v + u*v**3 + s*v**2 + a*v**4 + m and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/12 - k**4\/24 - 3*k**2. Let t(m) = -11*m + 6. Let q(o) = -3*o + 2. Let y(j) = 3*q(j) - t(j). What is y(i(u))?\nAnswer: -10*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (3 + -3 - 2). Suppose 0 = i*t - 2 + 6. Let o = 14 - t. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411028.7 centuries in millennia?\nAnswer: 41102.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 7*k**2 - 11*k - 11. Let c be n(-8). Let d = 7 - c. Let f(m) = 2*m**2 + 7*m + 4. Is f(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 0. Suppose 0 = -5*v - k*v + 15. Sort -2, -1, v in descending order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 15*w - 14*w + 52)*(4*w**2 - 10*w**2 + 10*w**2 - 7*w).\nAnswer: 4*w**3 + 97*w**2 - 182*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512388 is divided by 1601?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 2467*n\/2 + 4935\/4.\nAnswer: -(n - 4935)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 14*q**2 - 21*q - 13. Let f(g) = -g**3 - 7*g**2 - 10*g - 7. Let s(u) = -5*f(u) + 2*o(u). Give s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795126 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 15}. What is prob of sequence fq?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/32640 and -43\/35904?\nAnswer: 359040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, o: 5, c: 5}. Give prob of sequence cnc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p + 20. Suppose k + 56 = -p*a - 0*k, 4*k = -a - 15. Which is smaller: a or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37927 and 20332.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2 + 1 + n - 7 + 0*n. Let x be h(8). Find the third derivative of -4*z**4 - z**4 - z**x - 2*z**2 + 5*z**4 wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 44\/18 + -2 + 32940\/2430. Let j(m) = -5*m**3 - 2*m**2 - 3*m. Let r be j(-2). Solve q = 1, 4*q + n = 5*g + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0647 - 3.0513. Let u = -3.12 - h. What is u rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-6))\/(3\/(-6)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a0 (base 11) in base 6?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -49. Let n = -84 - a. List the prime factors of (-1275)\/n*4\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15514, 31183, 46852, 62521, 78190, 93859?\nAnswer: 109528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 14*l - 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 84\/16 + 312\/(-78)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 734*i + 734. Let u be x(-1). Factor u - 66\/7*g + 2\/7*g**2.\nAnswer: 2*g*(g - 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9423650 to the nearest 1000.\nAnswer: -9424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99934687827.54 + -99934687875.51510017759. Let t = f + -0.02489809241. Let k = t + 48. Round k to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 663*x**2 + 10*x + 11. Let f be i(7). Suppose -f - 1320 = 12*r. Does 13 divide (-4)\/(-28) + r\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 16) to base 7\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2893 + 3542. List the prime factors of p.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6590 * 8.9\nAnswer: -58651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-4950)\/975)\/22)\/((-2)\/(-4)*2)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, -21, -56, -117, -210, -341, -516, -741?\n\"Answer: -j**3 - 4*j**2 + 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86199.\nAnswer: 3, 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 9*s**7\/70 + 107*s**4\/6 - 17*s. Let j(r) be the third derivative of i(r). Let v(l) = 2*l. Calculate j(v(k)).\nAnswer: 1296*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2))\/w)\/w*w)**(-2\/117)\/(w**0*w)**(3\/4) assuming w is positive.\nAnswer: w**(-335\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 29 - 7*y**3 + 29.\nAnswer: -7*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bc2870 (base 14) to base 9.\nAnswer: -28156057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*h + 15*h - 78 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 29*m + 3543 = -4*q, 4*m - q - 2830 = 0. What is the highest common divisor of 303 and m?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 1935.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61798, 61743, 61698, 61669, 61662, 61683?\nAnswer: 61738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -17, -6, 17, 0, 5 in decreasing order.\nAnswer: 17, 5, 0, -1, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23b35 + -1bb?\nAnswer: -23d12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - (70 - (-59 - -102)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -1 - 14. Let y = 12 - 12. Let w = 3 + -6. Put w, y, v in ascending order.\nAnswer: w, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + l. Let z be u(1). What is the remainder when 56 is divided by (-58)\/(-3) + 1\/z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, s: 1, x: 6, b: 7}. What is prob of sequence as?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, u: 1, p: 2, c: 9}. Give prob of sequence cpuc.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84771 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4 + 6\/48*-134. Let a = -4 - 12. Let p = x - a. Solve p = -3*h - 1 + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-7) - (414\/(-42) + -3). Suppose 2*l + 2*l - 5*z + 32 = 0, -3*l = 4*z + 24. Let u = l + r. Solve 3*x - 4*x = -4*m + 15, 4*x - u*m = -27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*z + h, -39974*z - 10*h + 108 = -39970*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -8, 0.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/55365 and 49\/8.\nAnswer: 442920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389259303 - 389259303 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2 + (-1 + 6 - 3)*(-2 - 4 + 4) + 10 + 1 + 6)*(-2 + 6*q**2 - 2*q**2 - 2*q**2).\nAnswer: 22*q**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p + 16. Suppose c = 2*h - p*h - 32, 4*h + 8 = 0. Let k = -290\/11 - c. Find the common denominator of 9\/7 and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -1405*u**3\/2 + 125047*u**2\/2 + 4490291*u - 6392 = 0.\nAnswer: -47, 2\/1405, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, 5, 7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 871347*d**2 + 4*d + 17416738 with respect to d.\nAnswer: 1742694*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -5, 1.2, -0.2, -2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10619163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4107073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 488861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:16 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -19*z**2 - 234*z + 455. Let b be a(-14). Solve 8 = -b*f + 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043202242 (base 5) in base 14?\nAnswer: -445200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 11*c**2 + 20*c - 300. Let b be o(10). Solve b = -5*m - k + 24, m + 2*k = -4*m + 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -0.02474.\nAnswer: 0.81642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*a*b**2*p**3 + 2*a*b**2*p**2 + 7*a*b*p**3 + 2*a*b - 46*b**2*p - 294*b*p - 3*p**3 wrt b?\nAnswer: -154*a*p**3 + 4*a*p**2 - 92*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 15*k**4 + 2 + (3*k**4 - k**4 + 0*k**4)*(-1 + 3 - 1) + (k**2 - 2*k**2 - k**2)*(0*k**2 + 4*k**2 - 3*k**2) + 0*k**4 - 9*k**4 + 10*k**4.\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26353*r + 12*r**3 - 26353*r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1140893, -2281787, -3422681?\n\"Answer: -1140894*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-17 + -3) - -1. Let c = 3 + s. What is the third derivative of 18*i**2 + 40*i**2 - 25*i**2 + c*i**3 wrt i?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 13}. Give prob of picking 1 m and 1 u.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -147. Let w = 44 - r. What is the closest to -1 in w, -0.4, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (8 - (-4 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115204 - -3?\nAnswer: 115211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106099 rounded to the nearest 1000?\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, z: 7}. Give prob of sequence zi.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 9*i**2 - 15*i - 328. Give c(-9).\nAnswer: 1994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0*b - b)*(-3*b**2 - 3596*b + 1239*b + 4*b**2).\nAnswer: -b**3 + 2358*b**2 - 2357*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2867091 + -21.\nAnswer: -20.7132909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 81. Let k(w) = 1765*w + 7 - 1766*w - 7. Give g(k(j)).\nAnswer: 2*j - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 27, 76, 151, 252, 379?\n\"Answer: 13*q**2 - 16*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 2, n: 3, k: 5, q: 1}. Give prob of sequence ktqk.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}